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

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

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

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 Note on Bi-Periodic Leonardo Sequence: A note on bi-periodic Leonardo sequence

Autoři: Catarino, Paula M. M. Spreafico, Elen V. P.

Zdroj: Armenian Journal of Mathematics. 16:1-17

Témata: 0209 industrial biotechnology, Leonardo sequence, generating function, Catalan's identity, Special sequences and polynomials, bi-periodic Fibonacci sequence, 0202 electrical engineering, electronic engineering, information engineering, Fibonacci and Lucas numbers and polynomials and generalizations, d'Ocgane's identity, 02 engineering and technology, Binet's formula, Cassini's identity

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7888971
https://doi.org/10.52737/18291163-2024.16.5-1-17

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

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

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

On the bi-periodic Padovan sequences

Autoři: Dışkaya Orhan Menken Hamza

Zdroj: Mathematica Moravica, Vol 27, Iss 2, Pp 115-126 (2023)

Témata: padovan sequence, biperiodic Padovan sequence, Binet-like formula, generating function, biperiodic padovan sequence, binet-like formula, QA1-939, Fibonacci and Lucas numbers and polynomials and generalizations, Padovan sequence, Mathematics, matrix

Popis souboru: application/xml

Přístupová URL adresa: https://doaj.org/article/f3b09856eed74aa9a841361ac194e71e

On some links between the generalised Lucas pseudoprimes of level k: On some links between the generalised Lucas pseudoprimes of level \(k\)

Autoři: Andrica, Dorin Bagdasar, O. Rassias, Michael Th.

Zdroj: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 31, Iss 1, Pp 23-46 (2023)

Témata: Jacobi symbol, Pseudoprimality of level k, generalised lucas sequences, jacobi symbol, secondary 11b39, 11b50, pseudoprimality of level \(k\), pseudoprimality of level k, Sequences (mod \(m\)), Generalised Lucas sequences, Pseudoprimality, QA1-939, Fibonacci and Lucas numbers and polynomials and generalizations, pseudoprimality, Factorization, primality, primary 11a51, Mathematics, generalised Lucas sequences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8036463
https://doi.org/10.2478/auom-2023-0002
https://doaj.org/article/5238c681c12c49e39bd5094877225b3f

A system of certain linear Diophantine equations on analogs of squares

Autoři: Kanado, Yuya Saito, Kota

Zdroj: Acta Arithmetica. 207:251-277

Témata: uniform distribution modulo 1, Mathematics - Number Theory, perfect Euler brick, FOS: Mathematics, Linear Diophantine equations, Fibonacci and Lucas numbers and polynomials and generalizations, 0102 computer and information sciences, Number Theory (math.NT), Distribution modulo one, 0101 mathematics, 01 natural sciences, Primary:11D04, Secondary: 11J71, 11B39, Pell sequence

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2205.12226
https://zbmath.org/7683782
https://doi.org/10.4064/aa220622-19-1

A short note on Layman permutations

Autoři: Hajnal Péter

Zdroj: Acta Universitatis Sapientiae: Mathematica, Vol 14, Iss 2, Pp 231-238 (2022)

Témata: Permutations, words, matrices, 11a25, permutations, Fibonacci numbers, 0102 computer and information sciences, 02 engineering and technology, 01 natural sciences, fibonacci numbers, unique perfect matching, QA1-939, 0202 electrical engineering, electronic engineering, information engineering, Fibonacci and Lucas numbers and polynomials and generalizations, Layman permutations, Mathematics

Popis souboru: application/xml

Přístupová URL adresa: https://doaj.org/article/48f1e26865634b10822c3949ea13bbc6

Recurrence Relations for the Squares of the Horadam Numbers and Some Associated Consequences: Recurrence relations for the squares of the Horadam numbers and some associated consequences

Autoři: Adegoke, Kunle Frontczak, Robert Goy, Taras

Zdroj: Tatra Mountains Mathematical Publications. 82:17-28

Témata: 03 medical and health sciences, 0302 clinical medicine, reciprocal series, partial sum, recurrence relation, Fibonacci and Lucas numbers and polynomials and generalizations, Horadam sequence, 0101 mathematics, Fibonacci sequence, Chebyshev polynomial, 01 natural sciences

Popis souboru: application/xml

Common terms of k-Pell numbers and Padovan or Perrin numbers: Common terms of \(k\)-Pell numbers and Padovan or Perrin numbers

Autoři: Benedict Vasco Normenyo Salah Eddine Rihane Alain Togbé

Zdroj: Arabian Journal of Mathematics. 12:219-232

Témata: Fibonacci and Lucas numbers and polynomials and generalizations, 0101 mathematics, 01 natural sciences, Linear forms in logarithms, Baker's method

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7667699
https://doi.org/10.1007/s40065-022-00407-8

Pseudoprimality related to the generalized Lucas sequences

Autoři: Andrica, Dorin Bagdasar, Ovidiu Babeş-Bolyai University, Cluj-Napoca, Romania a další

Přispěvatelé: Andrica, Dorin Bagdasar, Ovidiu Babeş-Bolyai University, Cluj-Napoca, Romania a další

Zdroj: Mathematics and Computers in Simulation. 201:528-542

Témata: Jacobi symbol, Numerical Analysis, Modelling and Simulation, Applied Mathematics, Legendre symbol, Fibonacci and Lucas numbers and polynomials and generalizations, pseudoprimality, Factorization, primality, 0101 mathematics, generalized Lucas sequences, 01 natural sciences, Theoretical Computer Science, Primes

Popis souboru: application/xml; application/octet-stream; application/pdf

Přístupová URL adresa: https://zbmath.org/7545916
https://doi.org/10.1016/j.matcom.2021.03.003
https://www.sciencedirect.com/science/article/pii/S0378475421000677
https://derby.openrepository.com/handle/10545/625691

On an exponential Diophantine equation involving powers of consecutive terms of the Padovan sequence

Autoři: Luca, Florian Tchammou, Euloge Togbé, Alain

Zdroj: Publicationes Mathematicae Debrecen. 101:451-475

Témata: Padovan numbers, linear form in logarithms, 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

Přístupová URL adresa: https://zbmath.org/7614075
https://doi.org/10.5486/pmd.2022.9292

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

One particular class Eulerian numbers of higher order and some allied sequences of numbers: One particular class of Eulerian numbers of higher order and some allied sequences of numbers

Autoři: Ugrin-Sparac, Dimitrije

Zdroj: Publicationes Mathematicae Debrecen. 18:23-35

Témata: Exact enumeration problems, generating functions, Fibonacci and Lucas numbers and polynomials and generalizations, Congruences, primitive roots, residue systems, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3420834