• Search: "Fibonacci and Lucas numbers and polynomials and generalizations"

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41

RETRACTED ARTICLE: A Determinantal Expression for the Fibonacci Polynomials in Terms of a Tridiagonal Determinant: RETRACTED ARTICLE: A determinantal expression for the Fibonacci polynomials in terms of a tridiagonal determinant
Feng Qi ; Jing-Lin Wang ; Bai-Ni Guo
Bulletin of the Iranian Mathematical Society. 45:1821-1829

Fibonacci polynomial Special sequences and po... Calculation of integer s... Fibonacci and Lucas numb... Fibonacci number determinantal expression …
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42

On Third-Order Linear Recurrent Functions: On third-order linear recurrent functions
Kodjo Essonana Magnani
Discrete Dynamics in Nature and Society, Vol 2019 (2019)

linear recurrent functio... Tribonacci function QA1-939 Fibonacci and Lucas numb... 0101 mathematics 16. Peace & justice …
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43

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

Lucas number Fibonacci and Lucas numb... Fibonacci number integral representation
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44

Padovan and Perrin numbers as product of two repdigits
Salah Eddine Rihane ; Alain Togbé
Boletín de la Sociedad Matemática Mexicana. 28

Padovan numbers linear form in logarithm... repdigits numbers Fibonacci and Lucas numb... Perrin numbers reduction method …
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45

Nonlinear identities and Diophantine equations involving balancing-like and Lucas-balancing-like numbers
Asim Patra ; Claudio Pita-Ruiz ; Bijan Kumar Patel
Boletín de la Sociedad Matemática Mexicana. 28

balancing-like numbers Diophantine equations Fibonacci and Lucas numb... Recurrences Pell-Lucas numbers Pell numbers …
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46

Binomial transform of the generalized third-order Jacobsthal sequence
Soykan, Yüksel ; Taşdemir, Erkan ; Göcen, Melih
Asian-European Journal of Mathematics. 15

0101 mathematics binomial transform third-order Jacobsthal-L... 01 natural sciences Special sequences and po... generalized Tribonacci s... …
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47

Some new and old Gibonacci identities
Mahanta, Pankaj Jyoti ; Saikia, Manjil
Rocky Mountain Journal of Mathematics. 52

11B39, 11B37, 05A19, 05A... Mathematics - Number The... combinatorial proofs Exact enumeration proble... Fibonacci numbers tilings …
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48

Complete solution of the exponential Diophantine equation \(P_n^x+P_{n+1}^x=P_m^y\): Complete solution of the exponential Diophantine equation \(P_n^x +P_{n+1}^x =P_m^y\)
Faye, Bernadette ; Gomez, Carlos ; Luca, Florian ; et al.
Mathematical Communications
Volume 27
Issue 2

Pell numbers, Linear for... Fibonacci and Lucas numb... reduction methods Pell numbers linear forms in logarith... Exponential Diophantine... …
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49

Bicomplex k-Pell Quaternions: Bicomplex \(k\)-Pell quaternions
Catarino, Paula ; Repositório Institucional da UTAD
Computational Methods and Function Theory. 19:65-76

\(k\)-Pell quaternion k-Pell number k-Pell quaternion bicomplex number Bicomplex number bicomplex \(k\)-Pell qua... …
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50

Determinants and Inverses of Ppoeplitz and Ppankel matrices: Determinants and inverses of Ppoeplitz and Ppankel matrices
Zhaolin Jiang ; Deqian Fu ; Baishuai Zuo
Special Matrices, Vol 6, Iss 1, Pp 201-215 (2018)

ppankel matrix 15a15 Toeplitz, Cauchy, and re... inverse secondary 11b39 Hankel matrix …
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51

On k-circulant matrices with the Lucas numbers: On \(k\)-circulant matrices with the Lucas numbers
Biljana Radicic
Filomat. 32:4037-4046

Eigenvalues, singular va... Toeplitz, Cauchy, and re... Euclidean norm spectral norm eigenvalues Fibonacci and Lucas numb... …
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52

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
Köme, Cahit ; Yazlık, Yasin ; Nevşehir Hacı Bektaş Veli Üniversitesi/fen-edebiyat fakültesi/matematik bölümü/uygulamalı matematik anabilim dalı
Filomat. 32:3637-3650

biperiodic Fibonacci num... Toeplitz, Cauchy, and re... inverse Determinant biperiodic Lucas numbers \(r\)-circulant matrix …
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53

A study on the sum of the squares of generalized Balancing numbers: the sum formula $\sum_{k=0}^{n}x^{k}W_{mk+j}^{2}$
Soykan, Yüksel ; Taşdemir, Erkan ; Dikmen, Can Murat
Journal of Innovative Applied Mathematics and Computational Sciences; Vol. 1 No. 1 (2021): July- December; 16-30 ; 2773-4196 ; 10.58205/jiamcs.v1i1 ; ark:/49935/jiamcs.v1i1

Balancing numbers modified Lucas-balancing... Lucas-balancing numbers sum formulas Recurrences Fibonacci and Lucas numb... …
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54

Proof of Two Conjectures of Andrica and Bagdasar: Proof of two conjectures of Andrica and Bagdasar
Grantham, Jon

Carmichael number Fibonacci and Lucas numb... Pell-Pell-Lucas pseudopr... Factorization primality
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56

H(X)? jacobsthal and h(x)? jacobsthal-lucas representation polynomials
Kilic, N. ; İstanbul University Cerrahpaşa Institutional Repository

Generating functions Fibonacci and lucas numb... Re-currences
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57

Explicit form of determinants and inverse matrices of Tribonacci r-circulant type matrices: Explicit form of determinants and inverse matrices of Tribonacci \(r\)-circulant type matrices
Xiaoyu Jiang ; Kicheon Hong
Journal of Mathematical Chemistry. 56:1234-1249

Toeplitz, Cauchy, and re... inverse \(r\)-circulant matrix Determinants, permanents... Molecular structure (gra... \(r\)-left circulant mat... …
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58

Explicit inverses of generalized Tribonacci circulant type matrices: Explicit inverses of generalized tribonacci circulant type matrices
Shen, Shouqiang ; Liu, Weijun ; Feng, Lihua
Volume: 48, Issue: 3 689-699
Hacettepe Journal of Mathematics and Statistics

circulant matrix Matematik 0209 industrial biotechn... Eigenvalues, singular va... Toeplitz, Cauchy, and re... left circulant matrix …
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59

A note on modified third-order Jacobsthal numbers ; A note on Modified Third-order Jacobsthal Numbers
Cerda-Morales, Gamaliel
Proyecciones (Antofagasta); Vol. 39 No. 2 (2020); 409-420 ; Proyecciones. Revista de Matemática; Vol. 39 Núm. 2 (2020); 409-420 ; 0717-6279 ; 10.22199/issn.0717-6279-2020

Recurrence relation 11B37 Recurrences 11B39 Fibonacci and Lucas numb... 11B83 …
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60

A cryptography method based on hyperbolic balancing and Lucas-balancing functions
Ray, Prasanta Kumar
Proyecciones (Antofagasta); Vol. 39 No. 1 (2020); 135-152 ; Proyecciones. Revista de Matemática; Vol. 39 Núm. 1 (2020); 135-152 ; 0717-6279 ; 10.22199/issn.0717-6279-2020

Balancing numbers Lucas-balancing numbers Hyperbolic balancing fun... Hyperbolic Lucas-balanci... Cryptography 11B37 …
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