Search Results - "Arithmetic of Multiple Zeta Values and Related Functions"

A study on extended form of multivariable Hermite-Apostol type Frobenius-Euler polynomials via fractional operators

Authors: Mohra Zayed Shahid Ahmad Wani Georgia Irina Oros et al.

Source: AIMS Mathematics, Vol 9, Iss 6, Pp 16297-16312 (2024)

Subject Terms: applications, eulers' integral, FOS: Political science, Arithmetic of Multiple Zeta Values and Related Functions, Combinatorial Mathematics and Algebraic Combinatorics, FOS: Law, Euler's formula, Multivariable calculus, 01 natural sciences, Mathematical analysis, Engineering, QA1-939, FOS: Mathematics, Discrete Mathematics and Combinatorics, 0101 mathematics, Polylogarithms, Biology, Political science, operational connection, Hermite polynomials, Algebra over a field, Algebra and Number Theory, Ecology, Control engineering, Realm, Pure mathematics, Cantorian-Fractal Theory of Quantum Physics, Statistical and Nonlinear Physics, multivariable special polynomials, Computer science, Physics and Astronomy, fractional operators, FOS: Biological sciences, Physical Sciences, Type (biology), Law, Mathematics, explicit form

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Unraveling multivariable Hermite-Apostol-type Frobenius-Genocchi polynomials via fractional operators

Authors: Mohra Zayed Shahid Ahmad Wani Georgia Irina Oros et al.

Source: AIMS Mathematics, Vol 9, Iss 7, Pp 17291-17304 (2024)

Subject Terms: applications, Orthogonal polynomials, eulers' integral, Arithmetic of Multiple Zeta Values and Related Functions, 02 engineering and technology, Multivariable calculus, Matrix Valued Polynomials, 01 natural sciences, Orthogonal Polynomials, Discrete orthogonal polynomials, Engineering, QA1-939, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics, Polylogarithms, Biology, operational connection, Hermite polynomials, Algebra over a field, Algebra and Number Theory, Ecology, Applied Mathematics, Control engineering, Classical orthogonal polynomials, Pure mathematics, Cantorian-Fractal Theory of Quantum Physics, Statistical and Nonlinear Physics, multivariable special polynomials, 16. Peace & justice, Quadrature Methods, Physics and Astronomy, fractional operators, FOS: Biological sciences, Physical Sciences, Type (biology), Mathematics, explicit form, Hypergeometric Functions

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Arithmetic properties of generalized Fibonacci numbers

Authors: Jhon J. Bravo Carlos A. Gómez Florian Luca

Source: Revista de la Unión Matemática Argentina. :439-460

Subject Terms: Difference polynomials, Algebra and Number Theory, Fibonacci Numbers, Pisano period, Arithmetic, Orthogonal polynomials, 4. Education, Arithmetic of Multiple Zeta Values and Related Functions, Fibonacci number, Cantorian-Fractal Theory of Quantum Physics, Statistical and Nonlinear Physics, Combinatorial Mathematics and Algebraic Combinatorics, Discrete mathematics, Physics and Astronomy, Combinatorics, Physical Sciences, FOS: Mathematics, Discrete Mathematics and Combinatorics, Fibonacci polynomials, Mathematics

Ramanujan’s Tau-Function and Convolution Sums

Authors: R. Sivaraman José Luis López Bonilla Jesús Yaljá Montiel-Pérez

Source: European Journal of Theoretical and Applied Sciences. 2:437-439

Subject Terms: Prime Number Theory and L-Functions, Artificial neural network, Artificial intelligence, Algebra and Number Theory, Applied Mathematics, Arithmetic of Multiple Zeta Values and Related Functions, Pure mathematics, Ramanujan's sum, 16. Peace & justice, Computer science, Orthogonal Polynomials, Convolution (computer science), Physical Sciences, FOS: Mathematics, Ramanujan tau function, Mathematics

Expansions of generalized bases constructed via Hasse derivative operator in Clifford analysis

Authors: Gamal Hassan Mohra Zayed

Source: AIMS Mathematics, Vol 8, Iss 11, Pp 26115-26133 (2023)

Subject Terms: hasse derivative operator, Arithmetic of Multiple Zeta Values and Related Functions, effectiveness, Geometry, Euler's formula, type, Operator (biology), Mathematical analysis, Biochemistry, Gene, Clifford Analysis, QA1-939, FOS: Mathematics, bases, basic series, order, Bessel function, Hypercomplex number, Biology, Algebra over a field, Algebra and Number Theory, Ecology, hypercomplex analysis, Applied Mathematics, Fractional Fourier Transform Analysis, Pure mathematics, fréchet modules, Quaternionic Analysis and Applications, Quaternion, Chemistry, FOS: Biological sciences, Physical Sciences, Repressor, Transcription factor, Type (biology), Mathematics

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Three identities and a determinantal formula for differences between Bernoulli polynomials and numbers

Authors: Jian Cao J. López‐Bonilla Feng Qi

Source: Electronic Research Archive, Vol 32, Iss 1, Pp 224-240 (2024)

Subject Terms: Difference polynomials, inequality, Bernoulli's principle, Orthogonal polynomials, Bernoulli polynomials, difference, Arithmetic of Multiple Zeta Values and Related Functions, determinant, Matrix Inequalities and Geometric Means, Matrix Valued Polynomials, Polynomial, Mathematical analysis, Orthogonal Polynomials, QA1-939, FOS: Mathematics, Bernoulli number, identity, T57-57.97, Applied mathematics. Quantitative methods, Algebra and Number Theory, Applied Mathematics, Physics, Pure mathematics, bernoulli polynomial, Acoustics, Discrete mathematics, 16. Peace & justice, Bernoulli process, Identity (music), Combinatorics, Physical Sciences, Thermodynamics, partial bell polynomial, determinantal formula, Mathematics, Monotonic function, bernoulli number

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A complete comparison for the number of palindromes in different bases

Authors: Phakhinkon Phunphayap Prapanpong Pongsriiam

Source: AIMS Mathematics, Vol 8, Iss 4, Pp 9924-9932 (2023)

Subject Terms: Prime Number Theory and L-Functions, Algebra and Number Theory, palindrome, Arithmetic of Multiple Zeta Values and Related Functions, Boolean Functions, extremal order, Gene, 01 natural sciences, sign change, palindromic number, b-adic expansion, Artificial Intelligence, Combinatorics, FOS: Biological sciences, CRISPR, Physical Sciences, Computer Science, QA1-939, FOS: Mathematics, Palindrome, Genetics, 0101 mathematics, Biology, Mathematics, Cryptography and Error-Correcting Codes

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On the Persson-Strang’s Identity for the Legendre Polynomials

Authors: R. Sivaraman José Luis López Bonilla E. N. Macin-Moran

Source: European Journal of Theoretical and Applied Sciences. 1:246-248

Subject Terms: Algebra and Number Theory, Associated Legendre polynomials, Orthogonal polynomials, 4. Education, Arithmetic of Multiple Zeta Values and Related Functions, Classical orthogonal polynomials, Pure mathematics, Aesthetics, Combinatorial Mathematics and Algebraic Combinatorics, Cantorian-Fractal Theory of Quantum Physics, Statistical and Nonlinear Physics, Mathematical analysis, FOS: Philosophy, ethics and religion, Identity (music), Philosophy, Gegenbauer polynomials, Physics and Astronomy, Physical Sciences, FOS: Mathematics, Legendre polynomials, Discrete Mathematics and Combinatorics, Polylogarithms, Mathematics

Perrin numbers that are concatenations of two repdigits

Authors: Herbert Batte Taboka Chalebgwa Mahadi Ddamulira

Source: Arabian Journal of Mathematics. 11:469-478

Subject Terms: Prime Number Theory and L-Functions, Algebra and Number Theory, Arithmetic of Multiple Zeta Values and Related Functions, 0102 computer and information sciences, Computer science, 01 natural sciences, Algorithm, Algebraic Geometry and Moduli Theory, Physical Sciences, Number Theory, FOS: Mathematics, Geometry and Topology, 0101 mathematics, Mathematics

The higher-order type 2 Daehee polynomials associated with p-adic integral on ℤp

Authors: Waseem A. Khan Jihad Younis Uğur Duran et al.

Contributors: Waseem A. Khan Jihad Younis Uğur Duran et al.

Source: Applied Mathematics in Science and Engineering, Vol 30, Iss 1, Pp 573-582 (2022)

Subject Terms: Stirling numbers of the second kinds, High-order type 2 daehee polynomial, Higher order types, Economics, Feature (linguistics), Arithmetic of Multiple Zeta Values and Related Functions, 02 engineering and technology, P-adic integral, Polynomials, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, Mathematical Physics, Mathematics - Pure Maths - Stirling Numbers, type 2 daehee polynomials, Ecology, Physics, Bernoulli, Property, Discrete mathematics, Engineering (General). Civil engineering (General), Programming language, FOS: Philosophy, ethics and religion, higher-order type 2 daehee polynomials, stirling numbers of the first and second kinds, Physical Sciences, Integral representation, TA1-2040, Type (biology), Prime Number Theory and L-Functions, JavaScript, Zoom, Stirling numbers of the first and second kinds, Stirling numbers of the first kinds, The central factorial numbers of the second kind, Z(P), Number theory, the central factorial numbers of the second kind, Type 2 daehee polynomial, QA1-939, FOS: Mathematics, p-adic integral, Lens (geology), 0101 mathematics, Polylogarithms, Biology, Order (exchange), Higher-order type 2 Daehee polynomials, Algebra over a field, The central factorial number of the second kind, Algebra and Number Theory, Pure mathematics, Type 2 Daehee polynomials, Linguistics, Optics, Computer science, Philosophy, Combinatorics, FOS: Biological sciences, FOS: Languages and literature, p-adic Models in Mathematical Physics, Mathematics, Finance

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Access URL: https://doaj.org/article/65e139b209ef4bf6a1a90f4fc527e3d2
https://hdl.handle.net/20.500.12508/2204

Consequences of an Infinite Fourier Cosine Transform-Based Ramanujan Integral

Authors: Showkat Ahmad Dar M. Kamarujjama W. M. Shah et al.

Source: Analysis. 44:327-341

Subject Terms: Algebraic number, Laplace transform, Arithmetic of Multiple Zeta Values and Related Functions, Generalization, Geometry, Mathematical analysis, Orthogonal Polynomials, FOS: Mathematics, Sine and cosine transforms, Trigonometric functions, Algebra and Number Theory, Applied Mathematics, 4. Education, Integral transform, Pure mathematics, Ramanujan's sum, 16. Peace & justice, Atomic and Molecular Physics, and Optics, Fourier analysis, Fractional Fourier transform, Parity-Time Symmetry in Optics and Quantum Mechanics, Ramanujan-Type Formulas, Physics and Astronomy, Physical Sciences, Fourier transform, Mathematics

On the Analytical Properties of Prime Numbers

Authors: Abdalla, Fadul, Shazali

Source: Numerical Simulation-Advanced Techniques for Science and Engineering ISBN: 9781803569536

Subject Terms: Algebra over a field, Algebra and Number Theory, Arithmetic, Modular Forms, Arithmetic of Multiple Zeta Values and Related Functions, Generalization, Pure mathematics, Trinomial, Discrete mathematics, Polynomial, Mathematical analysis, Theoretical Computer Science, History of Mathematics in Education and Research, Number theory, Combinatorics, Prime number, Prime (order theory), Physical Sciences, Fermat's Last Theorem, FOS: Mathematics, Binomial coefficient, Geometry and Topology, Mathematics, Foundations of Geometric Mathematics

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Construction of partially degenerate Laguerre–Bernoulli polynomials of the first kind

Authors: Waseem A. Khan Jihad Younis Mohd Nadeem

Source: Applied Mathematics in Science and Engineering, Vol 30, Iss 1, Pp 362-375 (2022)

Subject Terms: Symmetry (geometry), Bernoulli's principle, Orthogonal polynomials, symmetry identities, Bernoulli polynomials, Arithmetic of Multiple Zeta Values and Related Functions, Geometry, Combinatorial Mathematics and Algebraic Combinatorics, Matrix Valued Polynomials, Quantum mechanics, 01 natural sciences, Orthogonal Polynomials, QA1-939, FOS: Mathematics, Discrete Mathematics and Combinatorics, Laguerre polynomials, 0101 mathematics, Polylogarithms, summation formulas, Algebra and Number Theory, Degenerate energy levels, Applied Mathematics, Physics, 4. Education, laguerre polynomials, Classical orthogonal polynomials, partially degenerate laguerre–bernoulli polynomials of the first kind, Pure mathematics, Engineering (General). Civil engineering (General), 16. Peace & justice, Bernoulli process, Laguerre's method, Physical Sciences, Thermodynamics, TA1-2040, partially degenerate bernoulli polynomials of the first kind, Mathematics

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Analytical Expressions of Infinite Fourier Sine and Cosine Transform-Based Ramanujan Integrals RS,C(m, n) in Terms of Hypergeometric Series 2F3(⋅)

Authors: Showkat Ahmad Dar M. Kamarujjama

Source: Time Frequency Analysis of Some Generalized Fourier Transforms ISBN: 9781837684595
Time Frequency Analysis of Some Generalized Fourier Transforms

Subject Terms: Prime Number Theory and L-Functions, Algebra and Number Theory, Applied Mathematics, Arithmetic of Multiple Zeta Values and Related Functions, Pure mathematics, Hypergeometric distribution, Geometry, Ramanujan's sum, Basic hypergeometric series, Generalized hypergeometric function, Fourier series, Mathematical analysis, Orthogonal Polynomials, Fourier analysis, Sine, Fractional Fourier transform, Ramanujan-Type Formulas, Physical Sciences, FOS: Mathematics, Fourier transform, Hypergeometric function, Sine and cosine transforms, Mathematics, Hypergeometric Functions, Trigonometric functions

Access URL: https://mts.intechopen.com/articles/show/title/analytical-expressions-of-infinite-fourier-sine-and-cosine-transform-based-ramanujan-integrals-em-r-

An Application of Pascal Distribution Series on Certain Analytic Functions Associated with Stirling Numbers and Sălăgean Operator

Authors: B. A. Frasin

Source: Journal of Function Spaces, Vol 2022 (2022)

Subject Terms: Arithmetic of Multiple Zeta Values and Related Functions, Stirling number, Operator (biology), Quantum mechanics, Biochemistry, Gene, 01 natural sciences, Pascal (unit), QA1-939, FOS: Mathematics, Series (stratigraphy), 0101 mathematics, Complex Analysis and Operator Theory, Operator Theory, Biology, Algebra and Number Theory, Stirling numbers of the first kind, Applied Mathematics, Physics, Geometric Function Theory and Complex Analysis, Pure mathematics, Paleontology, Applied mathematics, Chemistry, Physical Sciences, Repressor, Differential operator, Geometry and Topology, Transcription factor, Mathematics

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Densely generated 2D q-Appell polynomials of Bessel type and q-addition formulas

Authors: Mumtaz Riyasat

Source: Boletim da Sociedade Paranaense de Matemática, Vol 40 (2022)

Subject Terms: Artificial neural network, Difference polynomials, Orthogonal polynomials, Arithmetic of Multiple Zeta Values and Related Functions, Combinatorial Mathematics and Algebraic Combinatorics, Matrix Valued Polynomials, Mathematical analysis, 01 natural sciences, Orthogonal Polynomials, Convolution (computer science), Discrete orthogonal polynomials, Machine learning, QA1-939, FOS: Mathematics, Discrete Mathematics and Combinatorics, Bessel polynomials, Bessel function, 0101 mathematics, Wilson polynomials, Biology, Algebra over a field, Algebra and Number Theory, Ecology, Applied Mathematics, Pure mathematics, Computer science, FOS: Biological sciences, Physical Sciences, Type (biology), Mathematics

Access URL: https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/46923/751375153606
https://doaj.org/article/2748b790b7954a1dabdf2ba1ae808579

Certain results associated with hybrid relatives of the q-Sheffer sequences

Authors: Subuhi Khan Tabinda Nahid

Source: Boletim da Sociedade Paranaense de Matemática. 40:1-15

Subject Terms: Difference polynomials, Artificial intelligence, Class (philosophy), Orthogonal polynomials, Arithmetic of Multiple Zeta Values and Related Functions, Geometry, Combinatorial Mathematics and Algebraic Combinatorics, Matrix Valued Polynomials, 01 natural sciences, Orthogonal Polynomials, Discrete orthogonal polynomials, FOS: Mathematics, Discrete Mathematics and Combinatorics, Orthogonality, 0101 mathematics, Wilson polynomials, Generating function, Hermite polynomials, Algebra over a field, Algebra and Number Theory, Applied Mathematics, 4. Education, Classical orthogonal polynomials, Pure mathematics, Computer science, Combinatorics, Physical Sciences, Mathematics

Access URL: https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/45149/751375153327

Combinatorial structure and sumsets associated with Beatty sequences generated by powers of the golden ratio

Authors: Prapanpong Pongsriiam

Source: Electronic Research Archive, Vol 30, Iss 7, Pp 2385-2405 (2022)

Subject Terms: Prime Number Theory and L-Functions, Arithmetic of Multiple Zeta Values and Related Functions, Geometry, 0102 computer and information sciences, wythoff sequence, fibonacci number, 01 natural sciences, 12. Responsible consumption, Golden ratio, 11. Sustainability, QA1-939, FOS: Mathematics, Genetics, 0101 mathematics, Biology, T57-57.97, Applied mathematics. Quantitative methods, Algebra and Number Theory, Cantorian-Fractal Theory of Quantum Physics, Statistical and Nonlinear Physics, Discrete mathematics, Computer science, Programming language, Physics and Astronomy, beatty sequence, Combinatorics, Golden Ratio, FOS: Biological sciences, Physical Sciences, sumset, fractional part, Integer (computer science), golden ratio, Mathematics, Sequence (biology)

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Novel Binomial Series without Binomial Coefficients

Authors: Chinnaraji Annamalai

Subject Terms: Arithmetic of Multiple Zeta Values and Related Functions, Symbolic Computing in Algebraic Geometry and Cryptography, Epistemology, Convergence Analysis of Iterative Methods for Nonlinear Equations, Multinomial distribution, FOS: Mathematics, Series (stratigraphy), Central binomial coefficient, Gaussian binomial coefficient, Biology, Binomial distribution, Numerical Analysis, Algebra and Number Theory, Statistics, Paleontology, Binomial approximation, Discrete mathematics, Applied mathematics, Computer science, FOS: Philosophy, ethics and religion, Philosophy, Binomial (polynomial), Simplicity, Computational Theory and Mathematics, Computer Science, Physical Sciences, Binomial coefficient, Binomial theorem, Poisson distribution, Negative binomial distribution, Mathematics, Symbolic Computing

Construction of Type 2 Poly-Changhee Polynomials and Its Applications

Authors: G. Muhiuddin Waseem A. Khan Jihad Younis

Source: Journal of Mathematics, Vol 2021 (2021)

Subject Terms: Difference polynomials, Orthogonal polynomials, Arithmetic of Multiple Zeta Values and Related Functions, Stirling number, Combinatorial Mathematics and Algebraic Combinatorics, Matrix Valued Polynomials, 01 natural sciences, Orthogonal Polynomials, Gegenbauer polynomials, Discrete orthogonal polynomials, QA1-939, FOS: Mathematics, Discrete Mathematics and Combinatorics, 0101 mathematics, Wilson polynomials, Biology, Algebra over a field, Algebra and Number Theory, Ecology, Applied Mathematics, Classical orthogonal polynomials, Pure mathematics, Discrete mathematics, Hahn polynomials, FOS: Biological sciences, Physical Sciences, Jacobi polynomials, Macdonald polynomials, Type (biology), Mathematics

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https://doaj.org/article/e11cf671fb5c41d495eb4242ab690222