Suchergebnisse - Topics in Special Functions and q-Special Functions: Theory

Quantum Algebras and q-Special Functions: Quantum algebras and \(q\)-special functions

Autoren: Roberto Floreanini Luc Vinet

Quelle: Annals of Physics. 221:53-70

Schlagwörter: \(q\)-special functions, basic hypergeometric functions, generating functions, 0103 physical sciences, \(q\)-oscillator algebra, Quantum groups (quantized enveloping algebras) and related deformations, Groups and algebras in quantum theory and relations with integrable systems, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, Quantum groups and related algebraic methods applied to problems in quantum theory, 01 natural sciences, two-dimensional Euclidean quantum algebra

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/219467
https://doi.org/10.1006/aphy.1993.1003
http://ui.adsabs.harvard.edu/abs/1993AnPhy.221...53F/abstract
https://www.sciencedirect.com/science/article/pii/S0003491683710031

Quantum Group Approach to q-Special Functions: Quantum group approach to \(q\)-special functions

Autoren: M. Mansour Elsayed Ahmed A. S. Hegazi

Quelle: International Journal of Theoretical Physics. 39:41-45

Schlagwörter: differential representation, Euclidean quantum algebra, Casimir operator, \(q\)-deformed associated Legendre polynomials, 02 engineering and technology, 01 natural sciences, Finite-dimensional groups and algebras motivated by physics and their representations, Basic hypergeometric functions in one variable, \({}_r\phi_s\), quantum algebra associated to \(SU(2)\), 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, Quantum groups and related algebraic methods applied to problems in quantum theory, \(q\)-Bessel functions

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1023/A%3A1003638915593

Irreducible Representations of Deformed Oscillator Algebra and q-Special Functions: Irreducible representations of deformed oscillator algebra and \(q\)-special functions

Autoren: E. V. Damaskinsky P. P. Kulish

Quelle: International Journal of Modern Physics A. 12:153-158

Schlagwörter: Mathematics - Quantum Algebra, 0103 physical sciences, FOS: Mathematics, Quantum Algebra (math.QA), Quantum groups (quantized enveloping algebras) and related deformations, 0101 mathematics, Quantum groups and related algebraic methods applied to problems in quantum theory, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, 17B37, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/q-alg/9610002
http://arxiv.org/abs/q-alg/9610002
https://zbmath.org/1712422
https://doi.org/10.1142/s0217751x97000207
https://128.84.21.199/abs/q-alg/9610002
https://arxiv.org/abs/q-alg/9610002
https://arxiv.org/pdf/q-alg/9610002
https://www.worldscientific.com/doi/abs/10.1142/S0217751X97000207
http://ui.adsabs.harvard.edu/abs/1997IJMPA..12..153D/abstract

q-gamma and q-beta functions in quantum algebra representation theory: \(q\)-gamma and \(q\)-beta functions in quantum algebra representation theory

Autoren: Luc Vinet Roberto Floreanini

Quelle: Journal of Computational and Applied Mathematics. 68:57-68

Schlagwörter: Applied Mathematics, q-Special functions, linear transformations of oriented line, addition formulas, Quantum groups (quantized enveloping algebras) and related deformations, \(q\)-gamma function, 01 natural sciences, Hopf algebras (associative rings and algebras), Computational Mathematics, \(q\)-gamma functions, \(q\)-beta functions and integrals, Hopf algebras, 0103 physical sciences, \(q\)-beta function, quantum algebras, 0101 mathematics, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, Quantum algebras

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/abs/pii/0377042795002537
https://www.sciencedirect.com/science/article/pii/0377042795002537
https://core.ac.uk/display/82276898
https://www.openaccessrepository.it/record/135647

Non-commutative analogues ofq-special polynomials and aq-integral on a quantum sphere: Non-commutative analogues of \(q\)-special polynomials and a \(q\)-integral on a quantum sphere

Autoren: D. Gurevich L. Vainerman

Quelle: Journal of Physics A: Mathematical and General. 31:1771-1780

Schlagwörter: non-commutative analogues, quantum hyperboloid, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Quantum groups (quantized enveloping algebras) and related deformations, 0101 mathematics, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, Quantum groups and related algebraic methods applied to problems in quantum theory, 01 natural sciences, quantum Casimir operator, \(q\)-Legendre polynomials, \(q\)-special polynomials

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/q-alg/9712008
http://arxiv.org/abs/q-alg/9712008
https://zbmath.org/1185719
https://doi.org/10.1088/0305-4470/31/7/011
http://iopscience.iop.org/article/10.1088/0305-4470/31/7/011/meta
https://ui.adsabs.harvard.edu/abs/1998JPhA...31.1771G/abstract
https://arxiv.org/abs/q-alg/9712008
https://arxiv.org/pdf/q-alg/9712008

On the quantum group and quantum algebra approach toq-special functions: On the quantum group and quantum algebra approach to \(q\)-special functions

Autoren: Roberto Floreanini Luc Vinet

Quelle: Letters in Mathematical Physics. 27:179-190

Schlagwörter: Quantum groups (quantized enveloping algebras) and related deformations, 0101 mathematics, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, \(q\)-exponential mapping, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: http://ui.adsabs.harvard.edu/abs/1993LMaPh..27..179F/abstract
https://link.springer.com/article/10.1007/BF00739576

Eight lectures on quantum groups and q-special functions: Eight lectures on quantum groups and \(q\)-special functions

Autoren: Koelink, Erik

Schlagwörter: Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras, Hopf *-algebras, Askey-Wilson polynomials, deformed function algebras, quantised universal enveloping algebras, quantum groups, Other basic hypergeometric functions and integrals in several variables, Al-Salam and Chihara polynomials, addition formula, Quantum groups (quantized enveloping algebras) and related deformations, operator, Quantum groups, basic hypergeometric series, Hopf algebras (associative rings and algebras), special functions, \(q\)-special functions, Hopf algebras, convolution, Research exposition (monographs, survey articles) pertaining to special functions, duality, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, bi-\(K\)-invariant functions

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://zbmath.org/1080007
http://bdigital.unal.edu.co/33751/
https://repositorio.unal.edu.co/handle/unal/43653

Radius of α -Spirallikeness of Order cos(α)/2 for Entire Functions.

Autoren: Alabkary, Narjes Mondal, Saiful R.

Quelle: Mathematics (2227-7390); Mar2025, Vol. 13 Issue 5, p796, 29p

Schlagwörter: GAMMA functions, SPECIAL functions, BESSEL functions

Borel transform and integral identities involving λ‐Bessel and λ‐Tricomi matrix functions.

Autoren: Zainab, Umme Kumar, Manoj Raza, Nusrat

Quelle: Mathematical Methods in the Applied Sciences; Feb2025, Vol. 48 Issue 3, p3253-3271, 19p

Schlagwörter: SPECIAL functions, MATRIX functions, INTEGRAL functions, GENERATING functions, CALCULUS

A Novel Family of q -Mittag-Leffler-Based Bessel and Tricomi Functions via Umbral Approach.

Autoren: Khan, Waseem Ahmad Alhazmi, Mofareh Nahid, Tabinda

Quelle: Symmetry (20738994); Dec2024, Vol. 16 Issue 12, p1580, 13p

Schlagwörter: QUANTUM calculus, GENERATING functions, FUNCTIONAL equations, INTEGRAL transforms, BESSEL functions

Discretized representations of harmonic variables by bilateral Jacobi operators

Autoren: Andreas Ruffing

Quelle: Discrete Dynamics in Nature and Society, Vol 4, Iss 4, Pp 297-308 (2000)

Schlagwörter: Difference equations, scaling (\(q\)-differences), \(q\)-special functions, 9-special functions, Groups and algebras in quantum theory and relations with integrable systems, 01 natural sciences, Schrodinger difference operators, Basic hypergeometric functions in one variable, \({}_r\phi_s\), General mathematical topics and methods in quantum theory, 0103 physical sciences, QA1-939, Schrödinger difference operators, Discrete version of topics in analysis, 0101 mathematics, Mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1588354
https://doi.org/10.1155/s1026022600000285
https://doaj.org/article/04b417bf13b04802ad44c29be833d9a5
https://www.airitilibrary.com/Publication/alDetailedMesh?DocID=P20160913003-200012-201611020024-201611020024-ab297-308
https://www.hindawi.com/journals/ddns/2000/303516/
https://eudml.org/doc/125500
https://downloads.hindawi.com/journals/ddns/2000/303516.pdf

A model for the continuous q-ultraspherical polynomials: A model for the continuous \(q\)-ultraspherical polynomials

Autoren: Roberto Floreanini Luc Vinet

Quelle: Journal of Mathematical Physics. 36:3800-3813

Schlagwörter: quantum groups, matrix elements, Quantum groups (quantized enveloping algebras) and related deformations, 01 natural sciences, Lie group, Basic hypergeometric functions in one variable, \({}_r\phi_s\), \(q\)-special functions, Roger's \(q\)-Hermite polynomials, Mathematics - Classical Analysis and ODEs, \(q\)-ultraspherical polynomials, Mathematics - Quantum Algebra, 0103 physical sciences, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Quantum Algebra (math.QA), Applications of basic hypergeometric functions, 0101 mathematics, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, Quantum groups and related algebraic methods applied to problems in quantum theory

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/math/9504219
http://arxiv.org/abs/math/9504219
https://zbmath.org/866456
https://doi.org/10.1063/1.530998
https://aip.scitation.org/doi/10.1063/1.530998
http://ui.adsabs.harvard.edu/abs/1995JMP....36.3800F/abstract
https://core.ac.uk/display/21931532
https://arxiv.org/pdf/math/9504219
https://arxiv.org/abs/math/9504219

Quantum zonal spherical functions and Macdonald polynomials

Autoren: Gail Letzter

Quelle: Advances in Mathematics. 189:88-147

Schlagwörter: Mathematics(all), zonal spherical function, Quantum groups (quantized enveloping algebras) and related deformations, Quantum groups, Macdonald polynomial, 17B37, 01 natural sciences, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), Mathematics - Quantum Algebra, Zonal spherical functions, FOS: Mathematics, Quantum Algebra (math.QA), Macdonald polynomials, Quantum groups (quantized function algebras) and their representations, quantum group, Representation Theory (math.RT), 0101 mathematics, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, Harmonic analysis and spherical functions, Mathematics - Representation Theory

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/math/0210447
https://zbmath.org/2119095
https://doi.org/10.1016/j.aim.2003.11.007
https://dialnet.unirioja.es/servlet/articulo?codigo=956728
https://core.ac.uk/display/82590127
https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.239.8114&rep=rep1&type=pdf
https://www.sciencedirect.com/science/article/pii/S0001870803003530
http://ui.adsabs.harvard.edu/abs/2002math.....10447L/abstract

Mappings for Special Functions on Cantor Sets and Special Integral Transforms via Local Fractional Operators.

Autoren: Yang Zhao Baleanu, Dumitru Baleanu, Mihaela Cristina et al.

Quelle: Abstract & Applied Analysis; 2013, p1-6, 6p

Schlagwörter: MATHEMATICAL mappings, SPECIAL functions, CANTOR sets, INTEGRAL transforms, OPERATOR theory, FOURIER series

Special Functions and Generalized Sturm-Liouville Problems

Autoren: Mohammad Masjed-Jamei

Resource Type: eBook.

Schlagworte: Sturm-Liouville equation, Functions, Special, Differential equations

Categories: MATHEMATICS / Differential Equations / General, MATHEMATICS / Mathematical Analysis

Several characterizations of Bessel functions and their applications.

Autoren: Nahid, Tabinda Ali, Mahvish

Quelle: Georgian Mathematical Journal; Feb2022, Vol. 29 Issue 1, p83-93, 11p

Schlagwörter: BESSEL functions, GENERATING functions, SPECIAL functions

Special Functions of the Isomonodromy Type.

Autoren: Kitaev, A.

Quelle: Acta Applicandae Mathematicae; Oct2000, Vol. 64 Issue 1, p1-32, 32p

Special Functions in Physics and Engineering : A Renewed Approach with Applications

Autoren: Lukong Cornelius Fai

Resource Type: eBook.

Schlagworte: Engineering mathematics, Mathematical physics, Functions, Special

Categories: MATHEMATICS / Applied, SCIENCE / Physics / Mathematical & Computational

Special Functions 2000: Current Perspective and Future Directions

Autoren: Joaquin Bustoz Mourad E.H. Ismail Sergei Suslov

Resource Type: eBook.

Schlagworte: Special functions, Fourier analysis, Group theory, Discrete mathematics, Number theory

Categories: MATHEMATICS / Mathematical Analysis, MATHEMATICS / Algebra / Abstract, MATHEMATICS / Discrete Mathematics, MATHEMATICS / Number Theory

Hermite–Hadamard-type inequalities via different convexities with applications: Hermite-Hadamard-type inequalities via different convexities with applications

Autoren: Muhammad Samraiz Maria Malik Saima Naheed et al.

Quelle: Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-16 (2023)

Schlagwörter: Rearrangement inequality, Artificial intelligence, Class (philosophy), Geometry, Convex Functions, Matrix Inequalities and Geometric Means, Mathematical analysis, 01 natural sciences, Trapezoid rule, Convexity of real functions in one variable, generalizations, Orthogonal Polynomials, Convex function, Fractional derivatives and integrals, \(q\)-gamma functions, \(q\)-beta functions and integrals, Hermite–Hadamard-type inequalities, QA1-939, FOS: Mathematics, \(m\)-convex function, Hermite-Hadamard-type inequalities, 0101 mathematics, Biology, Hadamard transform, Hermite polynomials, Algebra over a field, Log sum inequality, Ecology, Applied Mathematics, Pure mathematics, Applied mathematics, Midpoint, Computer science, Convex optimization, Regular polygon, trapezoid rule, Inequality, error estimates, Young's inequality, \(q\)-calculus and related topics, FOS: Biological sciences, Physical Sciences, m-convex function, Inequalities for sums, series and integrals, Error estimates, Hermite-Hadamard Inequalities, Type (biology), Mathematics, Hypergeometric Functions

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7778067
https://doi.org/10.1186/s13660-023-02957-7
https://doaj.org/article/5b53f7005d344f7fb2dbff1ecf836f6d