Výsledky vyhledávání - Fibonacci and Lucas numbers and polynomials and generalizations

On k-Circulant matrices involving the Lucas numbers of even index: On \(k\)-circulant matrices involving the Lucas numbers of even index

Autoři: Radičić, Biljana

Zdroj: Mathematica Slovaca. 75:69-82

Témata: Eigenvalues, singular values, and eigenvectors, Toeplitz, Cauchy, and related matrices, norms of a matrix, eigenvalues, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Fibonacci and Lucas numbers and polynomials and generalizations, Recurrences, Matrices, determinants in number theory, Matrices of integers, \(k\)-circulant matrix, Lucas numbers, Hadamard inverse

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8010382
https://doi.org/10.1515/ms-2025-0006

Mulatu Numbers as Products of Three Generalized Lucas Numbers: Mulatu numbers as products of three generalized Lucas numbers

Autoři: Adédji, Kouéssi Norbert Adjakidjé, Roméo Jésugnon Togbé, Alain

Zdroj: Mathematica Pannonica. :142-161

Témata: Linear forms in logarithms, Approximation to algebraic numbers, Fibonacci and Lucas numbers and polynomials and generalizations, Mulatu numbers, reduction method, generalized Lucas numbers, Baker's method

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7966732
https://doi.org/10.1556/314.2024.00014

Sums of Finite Product of Chebyshev Polynomials of Third and Fourth Kind and Fibonacci and Lucas Numbers

Autoři: Jugal Kishore Vipin Verma

Zdroj: Indian Journal Of Science And Technology. 18:464-476

A common generalization of Dickson polynomials, Fibonacci polynomials, and Lucas polynomials and applications.

Autoři: Zriaa, Said Mouçouf, Mohammed

Zdroj: Journal of Prime Research in Mathematics. 2024, Vol. 20 Issue 2, p30-47. 18p.

Témata: *NUMBER theory, *POLYNOMIALS

Fibonacci and Lucas Polynomials in n-gon: Fibonacci and Lucas polynomials in \(n\)-gon

Autoři: Kuloğlu Bahar Özkan Engin Marin Marin

Zdroj: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 31, Iss 2, Pp 127-140 (2023)

Témata: lucas polynomials, 11b37, Lucas polynomials, recurrence relation, 11b39, QA1-939, Fibonacci and Lucas numbers and polynomials and generalizations, Fibonacci polynomials, Recurrences, binet formula, fibonacci polynomials, Mathematics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8036484
https://doi.org/10.2478/auom-2023-0023
https://doaj.org/article/58441774198c4fdc9d046e39639dd172

Rhaly terraced sequences their generalizations, properties and applications

Autoři: Anthony G. Shannon Bahar Kuloğlu Engin Özkan

Zdroj: Computational and Applied Mathematics. 44

Témata: sequence bisection, Euclidean norm, spreads, spectral norm, Special sequences and polynomials, Fibonacci and Lucas numbers and polynomials and generalizations, characteristic polynomial, Fibonacci numbers, Frobenius norm, Matrices, determinants in number theory, terraced matrix, Lucas sequence, catalecticant matrix

Popis souboru: application/xml

A common generalization of Dickson polynomials, Fibonacci polynomials, and Lucas polynomials and applications

Autoři: Zriaa, Said Mouçouf, Mohammed

Témata: Primary 11B39, secondary 11B83, Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT)

Přístupová URL adresa: http://arxiv.org/abs/2305.12016

On the F-Bernstein Polynomials: On the \(F\)-Bernstein polynomials

Autoři: Erdem, Alper Dişkaya, Orhan Menken, Hamza

Zdroj: Ukrainian Mathematical Journal. 76:937-948

Témata: Bernstein operator, Other functions defined by series and integrals, Fibonacci and Lucas numbers and polynomials and generalizations, Fibonacci numbers

Popis souboru: application/xml

Pell or Pell–Lucas numbers as concatenations of two repdigits in base b: Pell or Pell-Lucas numbers as concatenations of two repdigits in base \(b\)

Autoři: Kouèssi Norbert Adédji Alan Filipin Salah Eddine Rihane a další

Zdroj: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 119

Témata: Mathematics - Number Theory, Diophantine equations, Pell-Lucas numbers, 01 natural sciences, 11B39, 11D61, 11J86, \(b\)-repdigits, 0103 physical sciences, FOS: Mathematics, Fibonacci and Lucas numbers and polynomials and generalizations, reduction method, Number Theory (math.NT), Pell numbers, linear forms in logarithms, 0101 mathematics, Exponential Diophantine equations, Diophantine equations in many variables, Continued fraction calculations (number-theoretic aspects), Linear forms in logarithms, Baker's method

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2210.09699

A study of harmonic Fibonacci polynomials associated With Bernoulli-F and Euler–Fibonacci polynomials: A study of harmonic Fibonacci polynomials associated with Bernoulli-\(F\) and Euler-Fibonacci polynomials

Autoři: TUĞLU, NAİM Kızılateş, Can Kuş, Semra

Zdroj: Indian Journal of Pure and Applied Mathematics. 55:1129-1141

Témata: 0101 mathematics, umbral calculus and umbral algebra methods, special polynomial and numbers, 01 natural sciences, Fibonacci and Lucas numbers and polynomials and generalizations, Umbral calculus, Bernoulli and Euler numbers and polynomials, Orthogonal polynomials and functions associated with root systems, exponential generating functions, harmonic Fibonacci number

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7973041
https://doi.org/10.1007/s13226-023-00413-2
https://avesis.gazi.edu.tr/publication/details/f02cb7f8-6c9f-41ee-a3f9-23ed51adf4ac/oai
https://hdl.handle.net/20.500.12628/27823

A new approach to hyper dual numbers with tribonacci and tribonacci-Lucas numbers and their generalized summation formulas

Autoři: Mehrad, Ahmad Ali Mirwais, Mansoor Kakar

Zdroj: Journal of Innovative Applied Mathematics and Computational Sciences; Vol. 5 No. 1 (2025): January-June ; 66-81 ; 2773-4196 ; 10.58205/jiamcs.v5i1 ; ark:/49935/jiamcs.v5i1

Témata: Tibonaccia numbers, Tribonacci-Lucas numbers, Hyper dual numbers, Hyper dual tribonacci numbers, Hyper dual tribonacci-Lucas numbers, Generalized sum, Fibonacci and Lucas numbers and polynomials and generalizations

Popis souboru: application/pdf

Relation: https://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/V5I1_1885/1451

Dostupnost: https://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/V5I1_1885
https://doi.org/10.58205/jiamcs.v5i1.1885

SIMPLE INTEGRAL REPRESENTATIONS FOR THE FIBONACCI AND LUCAS NUMBERS: Simple integral representations for the Fibonacci and Lucas numbers

Autoři: Stewart, Sean M. Physical Science And Engineering Division, King Abdullah University Of Science And Technology, Thuwal 23955-6900, Saudi Arabia Physical Science and Engineering (PSE) Division

Přispěvatelé: Stewart, Sean M. Physical Science And Engineering Division, King Abdullah University Of Science And Technology, Thuwal 23955-6900, Saudi Arabia Physical Science and Engineering (PSE) Division

Témata: Lucas number, Fibonacci and Lucas numbers and polynomials and generalizations, Fibonacci number, integral representation

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://zbmath.org/7612967

k-Fibonacci numbers which are Padovan or Perrin numbers: \(k\)-Fibonacci numbers which are Padovan or Perrin numbers

Autoři: Salah Eddine Rihane Alain Togbé

Zdroj: Indian Journal of Pure and Applied Mathematics. 54:568-582

Témata: \(k\)-generalized Fibonacci numbers, Padovan numbers, linear form in logarithms, Fibonacci and Lucas numbers and polynomials and generalizations, Perrin numbers, Recurrences, reduction method, 0101 mathematics, Higher degree equations, Fermat's equation, 01 natural sciences, Linear forms in logarithms, Baker's method, Quadratic and bilinear Diophantine equations

Popis souboru: application/xml

On the determinants and inverses of R-circulant matrices with the biperiodic Fibonacci and Lucas numbers: On the determinants and inverses of \(R\)-circulant matrices with the biperiodic Fibonacci and Lucas numbers

Autoři: Köme, Cahit Yazlık, Yasin Nevşehir Hacı Bektaş Veli Üniversitesi/fen-edebiyat fakültesi/matematik bölümü/uygulamalı matematik anabilim dalı

Přispěvatelé: Köme, Cahit Yazlık, Yasin Nevşehir Hacı Bektaş Veli Üniversitesi/fen-edebiyat fakültesi/matematik bölümü/uygulamalı matematik anabilim dalı

Zdroj: Filomat. 32:3637-3650

Témata: biperiodic Fibonacci numbers, Toeplitz, Cauchy, and related matrices, inverse, Determinant, biperiodic Lucas numbers, \(r\)-circulant matrix, Determinants, permanents, traces, other special matrix functions, Matrices, determinants in number theory, determinant, Biperiodic fibonacci numbers, R−Circulant matrix, Biperiodic lucas numbers, Fibonacci and Lucas numbers and polynomials and generalizations, Theory of matrix inversion and generalized inverses, Inverse

Popis souboru: application/xml

Přístupová URL adresa: http://www.doiserbia.nb.rs/ft.aspx?id=0354-51801810637K
http://www.doiserbia.nb.rs/img/doi/0354-5180/2018/0354-51801810637K.pdf
http://hdl.handle.net/20.500.11787/2473

Hybrinomials Related to Hyper-Fibonacci and Hyper-Lucas Numbers

Autoři: Efruz Özlem MERSİN Eğitim Fakültesi

Přispěvatelé: Efruz Özlem MERSİN Eğitim Fakültesi

Zdroj: Volume: 8, Issue: 1 1-13
Journal of Engineering Technology and Applied Sciences

Témata: Hybrinomials, Matematik, Hyper-Fibonacci numbers, hyper-Lucas numbers, polynomials, hybrinomials, Hyper-Lucas Numbers, Hyper-Fibonacci Numbers, 0101 mathematics, Polynomials, 01 natural sciences, Mathematical Sciences

Popis souboru: application/pdf

Přístupová URL adresa: https://hdl.handle.net/20.500.12451/10909
https://dergipark.org.tr/tr/pub/jetas/issue/76936/1196595

A generalization of the Eulerian numbers

Autoři: Takacs, Lajos

Zdroj: Publicationes Mathematicae Debrecen. 26:173-181

Témata: generalized Stirling's numbers, recurrence formula, Exact enumeration problems, generating functions, Fibonacci and Lucas numbers and polynomials and generalizations, generalized Eulerian numbers, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3689388

On the reciprocal sum of the fourth power of Fibonacci numbers

Autoři: Hwang WonTae Park Jong-Do Song Kyunghwan

Zdroj: Open Mathematics, Vol 20, Iss 1, Pp 1642-1655 (2022)

Témata: lucas number, Pisano period, pisano period, 65q30, 11b39, Fibonacci number, fibonacci number, 11b50, 01 natural sciences, Sequences (mod \(m\)), secondary 11y55, catalan's identity, primary 11b37, Catalan's identity, recurrence relation, QA1-939, Lucas number, Fibonacci and Lucas numbers and polynomials and generalizations, 0101 mathematics, Mathematics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7643006
https://doi.org/10.1515/math-2022-0525
https://doaj.org/article/7977145399fc41e591aad28fe6ff6c00

An exponential equation involving k-Fibonacci numbers: An exponential equation involving \(k\)-Fibonacci numbers

Autoři: Alioune GUEYE Salah Eddine RIHANE Alain TOGBÉ

Zdroj: TURKISH JOURNAL OF MATHEMATICS. 45:2664-2677

Témata: linear form in logarithms, \(k\)-Fibonacci numbers, Fibonacci and Lucas numbers and polynomials and generalizations, reduction method, 0101 mathematics, Exponential Diophantine equations, 01 natural sciences, Linear forms in logarithms, Baker's method

Popis souboru: application/xml

On k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers

Autoři: Kilic, Nayil İstanbul University Cerrahpaşa Institutional Repository

Přispěvatelé: Kilic, Nayil İstanbul University Cerrahpaşa Institutional Repository

Zdroj: Journal of Discrete Mathematical Sciences and Cryptography. 24:1063-1074

Témata: Generating functions, Fibonacci and Lucas numbers and polynomials and generalizations, Recurrences, 0101 mathematics, 01 natural sciences

Popis souboru: application/pdf

Přístupová URL adresa: https://www.tandfonline.com/doi/abs/10.1080/09720529.2021.1873253
https://avesis.istanbul.edu.tr/yayin/9ad31fdb-7722-4b31-8f16-9a66a1051a81/on-k-jacobsthal-and-k-jacobsthal-lucas-hybrid-numbers
https://hdl.handle.net/20.500.12831/4976
https://doi.org/10.1080/09720529.2021.1873253

Kepler sets of second-order linear recurrence sequences over Qp: Kepler sets of second-order linear recurrence sequences over \(Q_p\)

Autoři: Rishi Kumar

Zdroj: International Journal of Number Theory. 21:75-112

Témata: linear recurrence sequences, monothetic groups, \(p\)-adic Möbius transformations, \(p\)-adic numbers, Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps, Continuous, \(p\)-adic and abstract analogues, Fibonacci and Lucas numbers and polynomials and generalizations, ratio sets, 0102 computer and information sciences, 0101 mathematics, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Ergodic theory on groups, 01 natural sciences

Popis souboru: application/xml