Yilmaz, N. The generalized bivariate Fibonacci and Lucas matrix polynomials. (English) Zbl 07552137 Math. Montisnigri 53, 33-44 (2022). MSC: 11B39 15A24 PDF BibTeX XML Cite \textit{N. Yilmaz}, Math. Montisnigri 53, 33--44 (2022; Zbl 07552137) Full Text: DOI OpenURL
Özkan, E.; Alp, T. BiGaussian Pell and Pell-Lucas polynomials. (English) Zbl 07552135 Math. Montisnigri 53, 17-25 (2022). MSC: 11B39 11K31 PDF BibTeX XML Cite \textit{E. Özkan} and \textit{T. Alp}, Math. Montisnigri 53, 17--25 (2022; Zbl 07552135) Full Text: DOI OpenURL
Lipka, Eryk Tadeusz; Ulas, Maciej A Fibonacci type sequence with Prouhet-Thue-Morse coefficients. (English) Zbl 07548195 J. Difference Equ. Appl. 28, No. 5, 695-715 (2022). MSC: 11B39 11B85 11B37 11B50 PDF BibTeX XML Cite \textit{E. T. Lipka} and \textit{M. Ulas}, J. Difference Equ. Appl. 28, No. 5, 695--715 (2022; Zbl 07548195) Full Text: DOI OpenURL
Adam, Maria; Aretaki, Aikaterini Bounds for the spectral radius of nonnegative matrices and generalized Fibonacci matrices. (English) Zbl 07547777 Spec. Matrices 10, 308-326 (2022). MSC: 15A60 15A18 15A42 11B39 11C20 PDF BibTeX XML Cite \textit{M. Adam} and \textit{A. Aretaki}, Spec. Matrices 10, 308--326 (2022; Zbl 07547777) Full Text: DOI OpenURL
Koshy, Thomas Products involving reciprocals of Jacobsthal polynomials. (English) Zbl 07547085 Fibonacci Q. 60, No. 1, 72-81 (2022). MSC: 11B39 PDF BibTeX XML Cite \textit{T. Koshy}, Fibonacci Q. 60, No. 1, 72--81 (2022; Zbl 07547085) Full Text: Link OpenURL
Koshy, Thomas Products involving reciprocals of gibonacci polynomials. (English) Zbl 07547079 Fibonacci Q. 60, No. 1, 15-24 (2022). MSC: 11B39 PDF BibTeX XML Cite \textit{T. Koshy}, Fibonacci Q. 60, No. 1, 15--24 (2022; Zbl 07547079) Full Text: Link OpenURL
Koshy, Thomas Infinite sums involving Jacobsthal polynomial products revisited. (English) Zbl 07547078 Fibonacci Q. 60, No. 1, 3-14 (2022). MSC: 11B39 PDF BibTeX XML Cite \textit{T. Koshy}, Fibonacci Q. 60, No. 1, 3--14 (2022; Zbl 07547078) Full Text: Link OpenURL
Wani, A. A.; Morales, G. C.; Malik, N. A. Matrix sequence of the binomial form of the complex combined Jacobsthal-Akin sequence. (English) Zbl 07546748 Palest. J. Math. 11, No. 1, 292-304 (2022). MSC: 11B37 11B39 11B83 15A15 05A10 PDF BibTeX XML Cite \textit{A. A. Wani} et al., Palest. J. Math. 11, No. 1, 292--304 (2022; Zbl 07546748) Full Text: Link OpenURL
Adegoke, Kunle; Frontczak, Robert; Goy, Taras Some special sums with squared Horadam numbers and generalized tribonacci numbers. (English) Zbl 07546722 Palest. J. Math. 11, No. 1, 66-73 (2022). MSC: 11B37 11B39 PDF BibTeX XML Cite \textit{K. Adegoke} et al., Palest. J. Math. 11, No. 1, 66--73 (2022; Zbl 07546722) Full Text: Link OpenURL
Özkan, Engin; Uysal, Mine; Kuloğlu, Bahar Catalan transform of the incomplete Jacobsthal numbers and incomplete generalized Jacobsthal polynomials. (English) Zbl 07545971 Asian-Eur. J. Math. 15, No. 6, Article ID 2250119, 17 p. (2022). MSC: 11B39 11B83 PDF BibTeX XML Cite \textit{E. Özkan} et al., Asian-Eur. J. Math. 15, No. 6, Article ID 2250119, 17 p. (2022; Zbl 07545971) Full Text: DOI OpenURL
Talha, Ibtissam; Badidja, Salim Periodicity of the solutions of general system of rational difference equations related to Fibonacci numbers. (English) Zbl 07545939 Asian-Eur. J. Math. 15, No. 5, Article ID 2250087, 8 p. (2022). MSC: 39A23 11B39 PDF BibTeX XML Cite \textit{I. Talha} and \textit{S. Badidja}, Asian-Eur. J. Math. 15, No. 5, Article ID 2250087, 8 p. (2022; Zbl 07545939) Full Text: DOI OpenURL
Solmaz, Tuğçe; Bahşi, Mustafa Max and min matrices with hyper-Fibonacci numbers. (English) Zbl 07545936 Asian-Eur. J. Math. 15, No. 5, Article ID 2250084, 13 p. (2022). MSC: 15B36 11C20 11B39 PDF BibTeX XML Cite \textit{T. Solmaz} and \textit{M. Bahşi}, Asian-Eur. J. Math. 15, No. 5, Article ID 2250084, 13 p. (2022; Zbl 07545936) Full Text: DOI OpenURL
Yilmaz, Nazmiye Split complex bi-periodic Fibonacci and Lucas numbers. (English) Zbl 07545447 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 71, No. 1, 153-164 (2022). MSC: 11B39 17A45 PDF BibTeX XML Cite \textit{N. Yilmaz}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 71, No. 1, 153--164 (2022; Zbl 07545447) Full Text: DOI OpenURL
Gueye, Alioune; Rihane, Salah Eddine; Togbé, Alain Coincidence between \(k\)-Fibonacci numbers and products of two Fermat numbers. (English) Zbl 07543743 Bull. Braz. Math. Soc. (N.S.) 53, No. 2, 541-552 (2022). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{A. Gueye} et al., Bull. Braz. Math. Soc. (N.S.) 53, No. 2, 541--552 (2022; Zbl 07543743) Full Text: DOI OpenURL
Duverney, Daniel; Elsner, Carsten; Kaneko, Masanobu; Tachiya, Yohei A criterion of algebraic independence of values of modular functions and an application to infinite products involving Fibonacci and Lucas numbers. (English) Zbl 07541950 Res. Number Theory 8, No. 2, Paper No. 31, 13 p. (2022). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J85 11F03 11F20 11B39 PDF BibTeX XML Cite \textit{D. Duverney} et al., Res. Number Theory 8, No. 2, Paper No. 31, 13 p. (2022; Zbl 07541950) Full Text: DOI OpenURL
Köme, Cahit Some combinatorial identities via \(k\)-order Fibonacci matrices. (English) Zbl 07541768 Miskolc Math. Notes 23, No. 1, 281-294 (2022). MSC: 15A23 11B39 05A10 PDF BibTeX XML Cite \textit{C. Köme}, Miskolc Math. Notes 23, No. 1, 281--294 (2022; Zbl 07541768) Full Text: DOI OpenURL
Acikel, Abdullah; Irmak, Nurettin Common terms of Tribonacci and Perrin sequences. (English) Zbl 07541748 Miskolc Math. Notes 23, No. 1, 5-11 (2022). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{A. Acikel} and \textit{N. Irmak}, Miskolc Math. Notes 23, No. 1, 5--11 (2022; Zbl 07541748) Full Text: DOI OpenURL
Rihane, Salah Eddine; Togbé, Alain An exponential Diophantine equation involving the sum or difference of powers of two pell numbers. (English) Zbl 07541630 Math. Slovaca 72, No. 3, 601-610 (2022). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{S. E. Rihane} and \textit{A. Togbé}, Math. Slovaca 72, No. 3, 601--610 (2022; Zbl 07541630) Full Text: DOI OpenURL
Eubanks-Turner, Christina; Cole, Kathryn; Lee, Megan Interlace polynomials of lollipop and tadpole graphs. (English) Zbl 07541362 Electron. J. Graph Theory Appl. 10, No. 1, 213-226 (2022). MSC: 05C31 05C50 11B39 PDF BibTeX XML Cite \textit{C. Eubanks-Turner} et al., Electron. J. Graph Theory Appl. 10, No. 1, 213--226 (2022; Zbl 07541362) Full Text: DOI OpenURL
Kiliç, Emrah; Akkus, Ilker; Ömür, Neşe Diophantine equations related with linear binary recurrences. (English) Zbl 07541060 Iran. J. Math. Sci. Inform. 17, No. 1, 11-26 (2022). MSC: 11B37 11B39 11D04 30B70 PDF BibTeX XML Cite \textit{E. Kiliç} et al., Iran. J. Math. Sci. Inform. 17, No. 1, 11--26 (2022; Zbl 07541060) Full Text: Link OpenURL
Ahmad, Nasir; Prasher, Leena \(Q_1\) and \(Q_2\) matrix representations of generalized \(k\)-Fibonacci sequence. (English) Zbl 07540729 JP J. Algebra Number Theory Appl. 54, 19-34 (2022). MSC: 11B39 11C20 15A24 PDF BibTeX XML Cite \textit{N. Ahmad} and \textit{L. Prasher}, JP J. Algebra Number Theory Appl. 54, 19--34 (2022; Zbl 07540729) Full Text: DOI OpenURL
Ulutaş, Yücel Türker; Kuzuoğlu, Gökhan On the alternating sums of reciprocal generalized Fibonacci numbers. (English) Zbl 07539564 Asian-Eur. J. Math. 15, No. 3, Article ID 2250053, 23 p. (2022). MSC: 11B39 PDF BibTeX XML Cite \textit{Y. T. Ulutaş} and \textit{G. Kuzuoğlu}, Asian-Eur. J. Math. 15, No. 3, Article ID 2250053, 23 p. (2022; Zbl 07539564) Full Text: DOI OpenURL
He, Tian-Xiao; Shiue, Peter J. S.; Chang, Yaotsu Computation of Fermat’s pseudoprimes. (Dedicated to the memory of Professor Leetsch C. Hsu). (English) Zbl 07539108 J. Discrete Math. Sci. Cryptography 25, No. 2, 335-352 (2022). MSC: 05A15 05A05 11B39 11B73 15B36 15A06 05A19 11B83 PDF BibTeX XML Cite \textit{T.-X. He} et al., J. Discrete Math. Sci. Cryptography 25, No. 2, 335--352 (2022; Zbl 07539108) Full Text: DOI OpenURL
Wanidchang, Kodchaphon; Kanasri, Narakorn Rompurk On the period and the order of appearance of the sequence of Fibonacci polynomials modulo \(m\). (English) Zbl 07539096 J. Discrete Math. Sci. Cryptography 25, No. 1, 181-192 (2022). MSC: 11B39 11B50 PDF BibTeX XML Cite \textit{K. Wanidchang} and \textit{N. R. Kanasri}, J. Discrete Math. Sci. Cryptography 25, No. 1, 181--192 (2022; Zbl 07539096) Full Text: DOI OpenURL
Bellah, Elisa Norm form equations and linear divisibility sequences. (English) Zbl 07538665 Int. J. Number Theory 18, No. 6, 1239-1259 (2022). MSC: 11D57 11D25 11B39 PDF BibTeX XML Cite \textit{E. Bellah}, Int. J. Number Theory 18, No. 6, 1239--1259 (2022; Zbl 07538665) Full Text: DOI OpenURL
Şiar, Zafer; Erduvan, Fatih; Keskin, Refik Repdigits base \(b\) as difference of two Fibonacci numbers. (English) Zbl 07537610 J. Math. Study 55, No. 1, 84-94 (2022). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{Z. Şiar} et al., J. Math. Study 55, No. 1, 84--94 (2022; Zbl 07537610) Full Text: DOI OpenURL
Rayaguru, S. G.; Panda, G. K. Brousseau’s reciprocal sums involving balancing and Lucas-balancing numbers. (English) Zbl 07537307 J. Indian Math. Soc., New Ser. 89, No. 1-2, 145-166 (2022). MSC: 11B39 11B83 PDF BibTeX XML Cite \textit{S. G. Rayaguru} and \textit{G. K. Panda}, J. Indian Math. Soc., New Ser. 89, No. 1--2, 145--166 (2022; Zbl 07537307) Full Text: DOI OpenURL
Kreutz, Alessandra; Marques, Diego; Trojovský, Pavel On Fibonacci numbers as sum of powers of two consecutive tribonacci numbers. (English) Zbl 07535765 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 119, 16 p. (2022). MSC: 11Dxx 11B39 11J86 PDF BibTeX XML Cite \textit{A. Kreutz} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 119, 16 p. (2022; Zbl 07535765) Full Text: DOI OpenURL
Puangjumpa, Piyanut Some \(k\)-Fibonacci and \(k\)-Lucas identities by a matrix approach with applications. (English) Zbl 07534803 Thai J. Math. 20, No. 1, 417-423 (2022). MSC: 11B37 11B39 PDF BibTeX XML Cite \textit{P. Puangjumpa}, Thai J. Math. 20, No. 1, 417--423 (2022; Zbl 07534803) Full Text: Link OpenURL
Kim, Aeran Recursion formulas for Bernoulli numbers. (English) Zbl 07534778 Thai J. Math. 20, No. 1, 55-67 (2022). MSC: 11B68 11B39 03D30 PDF BibTeX XML Cite \textit{A. Kim}, Thai J. Math. 20, No. 1, 55--67 (2022; Zbl 07534778) Full Text: Link OpenURL
Deveci, Ömür; Shannon, Anthony G. On the complex-type Catalan transform of the \(k\)-Fibonacci numbers. (English) Zbl 07534349 J. Integer Seq. 25, No. 4, Article 22.4.6, 11 p. (2022). MSC: 11B39 05A15 05A10 PDF BibTeX XML Cite \textit{Ö. Deveci} and \textit{A. G. Shannon}, J. Integer Seq. 25, No. 4, Article 22.4.6, 11 p. (2022; Zbl 07534349) Full Text: Link OpenURL
Hopkins, Brian; Tangboonduangjit, Aram Scaled Fibonacci- and Lucas-producing rational polynomials. (English) Zbl 07534322 J. Integer Seq. 25, No. 3, Article 22.3.5, 37 p. (2022). MSC: 11B39 11C08 PDF BibTeX XML Cite \textit{B. Hopkins} and \textit{A. Tangboonduangjit}, J. Integer Seq. 25, No. 3, Article 22.3.5, 37 p. (2022; Zbl 07534322) Full Text: Link OpenURL
Dresden, Greg; Tulskikh, Michael Convolutions of sequences with similar linear recurrence formulas. (English) Zbl 07534320 J. Integer Seq. 25, No. 3, Article 22.3.3, 15 p. (2022). MSC: 11B39 05A15 05B45 PDF BibTeX XML Cite \textit{G. Dresden} and \textit{M. Tulskikh}, J. Integer Seq. 25, No. 3, Article 22.3.3, 15 p. (2022; Zbl 07534320) Full Text: Link OpenURL
Ait-Amrane, Lyes; Behloul, Djilali Cassini-like formula for generalized hyper-Fibonacci numbers. (English) Zbl 07534319 J. Integer Seq. 25, No. 3, Article 22.3.2, 16 p. (2022). MSC: 11B39 11B37 20G20 15B36 PDF BibTeX XML Cite \textit{L. Ait-Amrane} and \textit{D. Behloul}, J. Integer Seq. 25, No. 3, Article 22.3.2, 16 p. (2022; Zbl 07534319) Full Text: Link OpenURL
Fatehizadeh, Amirali; Yaqubi, Daniel Average of the Fibonacci numbers. (English) Zbl 07534315 J. Integer Seq. 25, No. 2, Article 22.2.6, 10 p. (2022). MSC: 11B39 11B50 11A07 PDF BibTeX XML Cite \textit{A. Fatehizadeh} and \textit{D. Yaqubi}, J. Integer Seq. 25, No. 2, Article 22.2.6, 10 p. (2022; Zbl 07534315) Full Text: Link OpenURL
Hashemi, Mansoor; Mehraban, Elahe Factorization of the \(t\)-extension of the \(p\)-Fibonacci and the Pascal matrices. (English) Zbl 07533927 J. Math. Model. 10, No. 1, 161-172 (2022). MSC: 15A36 11C20 11B39 PDF BibTeX XML Cite \textit{M. Hashemi} and \textit{E. Mehraban}, J. Math. Model. 10, No. 1, 161--172 (2022; Zbl 07533927) Full Text: DOI OpenURL
Daǧlı, Mehmet; Tan, Elif; Ölmez, Oktay On \(r\)-circulant matrices with generalized bi-periodic Fibonacci numbers. (English) Zbl 07532914 J. Appl. Math. Comput. 68, No. 3, 2003-2014 (2022). MSC: 15B05 15A60 15B36 11B39 11C20 PDF BibTeX XML Cite \textit{M. Daǧlı} et al., J. Appl. Math. Comput. 68, No. 3, 2003--2014 (2022; Zbl 07532914) Full Text: DOI OpenURL
Yilmaz, Nazmiye; Aktaş, İbrahim On some new subclasses of bi-univalent functions defined by generalized bivariate Fibonacci polynomial. (English) Zbl 07532684 Afr. Mat. 33, No. 2, Paper No. 59, 12 p. (2022). MSC: 30C45 05A15 11B39 PDF BibTeX XML Cite \textit{N. Yilmaz} and \textit{İ. Aktaş}, Afr. Mat. 33, No. 2, Paper No. 59, 12 p. (2022; Zbl 07532684) Full Text: DOI OpenURL
Alan, Murat; Alan, Kadriye Simsek Mersenne numbers which are products of two Pell numbers. (English) Zbl 07531928 Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 38, 9 p. (2022). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{M. Alan} and \textit{K. S. Alan}, Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 38, 9 p. (2022; Zbl 07531928) Full Text: DOI OpenURL
Sivakumar, B. Gaussian Pentanacci numbers and polynomials. (English) Zbl 07527449 Adv. Appl. Discrete Math. 29, No. 1, 9-23 (2022). MSC: 11B37 11B39 PDF BibTeX XML Cite \textit{B. Sivakumar}, Adv. Appl. Discrete Math. 29, No. 1, 9--23 (2022; Zbl 07527449) Full Text: DOI OpenURL
Ciaurri, Óscar An “esoteric” proof of Gelin-Cesàro identity. (English) Zbl 07525561 Am. Math. Mon. 129, No. 5, 465 (2022). MSC: 00A05 11B39 PDF BibTeX XML Cite \textit{Ó. Ciaurri}, Am. Math. Mon. 129, No. 5, 465 (2022; Zbl 07525561) Full Text: DOI OpenURL
García, Jonathan; Gómez, Carlos A. On a variant of Pillai problem: integers as difference between generalized Pell numbers and perfect powers. (English) Zbl 07524920 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 103, 36 p. (2022). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D45 11D61 11J86 PDF BibTeX XML Cite \textit{J. García} and \textit{C. A. Gómez}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 103, 36 p. (2022; Zbl 07524920) Full Text: DOI OpenURL
Du, Zhibin; Dimitrov, Darko; da Fonseca, Carlos M. New strong divisibility sequences. (English) Zbl 07523294 Ars Math. Contemp. 22, No. 1, Paper No. 8, 13 p. (2022). MSC: 11B37 11B39 11B83 15B05 33C45 PDF BibTeX XML Cite \textit{Z. Du} et al., Ars Math. Contemp. 22, No. 1, Paper No. 8, 13 p. (2022; Zbl 07523294) Full Text: DOI OpenURL
Byer, Cameron; Dvorachek, Tyler; Eckard, Emily; Harrington, Joshua; Wise, Lindsey; Wong, Tony W. H. On the properties of fibotomic polynomials. (English) Zbl 07518347 Adv. Appl. Math. 138, Article ID 102344, 21 p. (2022). MSC: 11B39 12E10 PDF BibTeX XML Cite \textit{C. Byer} et al., Adv. Appl. Math. 138, Article ID 102344, 21 p. (2022; Zbl 07518347) Full Text: DOI OpenURL
Liana, Mirosław; Szynal-Liana, Anetta; Włoch, Iwona Jacobsthal representation hybrinomials. (English) Zbl 07513962 Ann. Math. Sil. 36, No. 1, 57-70 (2022). MSC: 11B37 11B39 PDF BibTeX XML Cite \textit{M. Liana} et al., Ann. Math. Sil. 36, No. 1, 57--70 (2022; Zbl 07513962) Full Text: DOI OpenURL
Yang, Fan; Li, Yang The infinite sums of reciprocals and the partial sums of Chebyshev polynomials. (English) Zbl 1485.11065 AIMS Math. 7, No. 1, 334-348 (2022). MSC: 11B83 11B37 11B39 PDF BibTeX XML Cite \textit{F. Yang} and \textit{Y. Li}, AIMS Math. 7, No. 1, 334--348 (2022; Zbl 1485.11065) Full Text: DOI OpenURL
Marques, Diego; Trojovský, Pavel The proof of a formula concerning the asymptotic behavior of the reciprocal sum of the square of multiple-angle Fibonacci numbers. (English) Zbl 07512176 J. Inequal. Appl. 2022, Paper No. 21, 16 p. (2022). MSC: 11B39 11B05 PDF BibTeX XML Cite \textit{D. Marques} and \textit{P. Trojovský}, J. Inequal. Appl. 2022, Paper No. 21, 16 p. (2022; Zbl 07512176) Full Text: DOI OpenURL
Zouareg, Yahia; Benoumhani, Moussa On a conjecture of Heim and Neuhauser on some polynomials arising from modular forms and related to Fibonacci polynomials. (English) Zbl 07510931 Ramanujan J. 58, No. 1, 183-201 (2022). MSC: 11B39 11B65 26C10 PDF BibTeX XML Cite \textit{Y. Zouareg} and \textit{M. Benoumhani}, Ramanujan J. 58, No. 1, 183--201 (2022; Zbl 07510931) Full Text: DOI OpenURL
Hernane, Mohand O.; Rihane, Salah Eddine; Seffah, Safia; Togbé, Alain On Fermat and Mersenne numbers expressible as product of two \(k\)-Fibonacci numbers. (English) Zbl 07510862 Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 36, 12 p. (2022). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{M. O. Hernane} et al., Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 36, 12 p. (2022; Zbl 07510862) Full Text: DOI OpenURL
Pérez-Rosés, Hebert; Bras-Amorós, Maria; Serradilla-Merinero, José Miguel Greedy routing in circulant networks. (English) Zbl 07510844 Graphs Comb. 38, No. 3, Paper No. 86, 16 p. (2022). MSC: 05C82 05C20 05C35 05C85 11B39 68R10 PDF BibTeX XML Cite \textit{H. Pérez-Rosés} et al., Graphs Comb. 38, No. 3, Paper No. 86, 16 p. (2022; Zbl 07510844) Full Text: DOI OpenURL
Balakrishnan, Jennifer S.; Craig, William; Ono, Ken Variations of Lehmer’s conjecture for Ramanujan’s tau-function. (English) Zbl 07510288 J. Number Theory 237, 3-14 (2022). MSC: 11D61 11B39 11D41 11J86 PDF BibTeX XML Cite \textit{J. S. Balakrishnan} et al., J. Number Theory 237, 3--14 (2022; Zbl 07510288) Full Text: DOI OpenURL
Ait-Amrane, Lyes; Behloul, Djilali Generalized hyper-Lucas numbers and applications. (English) Zbl 07506491 Indian J. Pure Appl. Math. 53, No. 1, 62-75 (2022). MSC: 11B39 11B37 15B36 15A60 PDF BibTeX XML Cite \textit{L. Ait-Amrane} and \textit{D. Behloul}, Indian J. Pure Appl. Math. 53, No. 1, 62--75 (2022; Zbl 07506491) Full Text: DOI OpenURL
Bród, Dorota; Szynal-Liana, Anetta; Włoch, Iwona One-parameter generalization of dual-hyperbolic Pell numbers. (English) Zbl 07504098 Math. Slovaca 72, No. 2, 527-537 (2022). MSC: 11B39 PDF BibTeX XML Cite \textit{D. Bród} et al., Math. Slovaca 72, No. 2, 527--537 (2022; Zbl 07504098) Full Text: DOI OpenURL
Patra, Asim; Panda, Gopal Krishna Sums of finite products of Pell polynomials in terms of hypergeometric functions. (English) Zbl 07503416 J. Egypt. Math. Soc. 30, Paper No. 4, 20 p. (2022). Reviewer: Thomas Ernst (Uppsala) MSC: 11B39 33C20 33C45 PDF BibTeX XML Cite \textit{A. Patra} and \textit{G. K. Panda}, J. Egypt. Math. Soc. 30, Paper No. 4, 20 p. (2022; Zbl 07503416) Full Text: DOI OpenURL
Cai, Tianxin Perfect numbers and Fibonacci sequences (to appear). (English) Zbl 07503098 Singapore: World Scientific (ISBN 978-981-12-4407-0/hbk). 200 p. (2022). MSC: 11-01 11B39 PDF BibTeX XML Cite \textit{T. Cai}, Perfect numbers and Fibonacci sequences (to appear). Singapore: World Scientific (2022; Zbl 07503098) Full Text: DOI OpenURL
Bouchat, Rachelle R.; Brown, Tricia Muldoon Multigraded Betti numbers of Möbius domino ideals. (English) Zbl 07502738 Commun. Algebra 50, No. 5, 2269-2278 (2022). MSC: 05E40 05B45 13C10 11B39 PDF BibTeX XML Cite \textit{R. R. Bouchat} and \textit{T. M. Brown}, Commun. Algebra 50, No. 5, 2269--2278 (2022; Zbl 07502738) Full Text: DOI OpenURL
Nath, Ayan On the divisibility \(a! + b! | (a + b)!\). (English) Zbl 07502114 Am. Math. Mon. 129, No. 3, 246-254 (2022). MSC: 11B65 11B39 11C08 PDF BibTeX XML Cite \textit{A. Nath}, Am. Math. Mon. 129, No. 3, 246--254 (2022; Zbl 07502114) Full Text: DOI OpenURL
Doi, Yoshiaki; Konno, Norio; Nakamigawa, Tomoki; Sakuma, Tadashi; Segawa, Etsuo; Shinohara, Hidehiro; Tamura, Shunya; Tanaka, Yuuho; Toyota, Kosuke On the average hitting times of the squares of cycles. (English) Zbl 1485.05166 Discrete Appl. Math. 313, 18-28 (2022). MSC: 05C81 11B39 82B41 94C05 PDF BibTeX XML Cite \textit{Y. Doi} et al., Discrete Appl. Math. 313, 18--28 (2022; Zbl 1485.05166) Full Text: DOI OpenURL
Sriponpaew, Boonyong; Neamvonk, Apichat On the norms of circulant matrics with the Gaussian Pell numbers. (English) Zbl 07491419 Int. J. Math. Comput. Sci. 17, No. 2, 833-838 (2022). MSC: 15A60 15B57 11B39 PDF BibTeX XML Cite \textit{B. Sriponpaew} and \textit{A. Neamvonk}, Int. J. Math. Comput. Sci. 17, No. 2, 833--838 (2022; Zbl 07491419) Full Text: Link OpenURL
Patra, Asim; Panda, Gopal Krishna; Onphaeng, Kritkhajohn; Phunphayap, Phakhinkon; Khemaratchatakumthorn, Tammatada Subsequences and exact divisibility by the powers of the balancing numbers. (English) Zbl 07491397 Int. J. Math. Comput. Sci. 17, No. 2, 611-617 (2022). MSC: 11B39 11B83 PDF BibTeX XML Cite \textit{A. Patra} et al., Int. J. Math. Comput. Sci. 17, No. 2, 611--617 (2022; Zbl 07491397) Full Text: Link OpenURL
Pakapongpun, Apisit; Kongson, Jutarat Three combined sequences related to \(k\)-Fibonacci sequences. (English) Zbl 07491391 Int. J. Math. Comput. Sci. 17, No. 2, 551-559 (2022). MSC: 11B39 PDF BibTeX XML Cite \textit{A. Pakapongpun} and \textit{J. Kongson}, Int. J. Math. Comput. Sci. 17, No. 2, 551--559 (2022; Zbl 07491391) Full Text: Link OpenURL
Chinram, Ronnason; Petchkaew, Pattarawan; Hangsawat, Saranya A note of 2-distance balancing numbers. (English) Zbl 07491355 Int. J. Math. Comput. Sci. 17, No. 1, 135-142 (2022). MSC: 11B39 05A15 PDF BibTeX XML Cite \textit{R. Chinram} et al., Int. J. Math. Comput. Sci. 17, No. 1, 135--142 (2022; Zbl 07491355) Full Text: Link OpenURL
Phunphayap, Phakhinkon; Khemaratchatakumthorn, Tammatada; Sumritnorrapong, Patcharee Fibonacci and Lucas numbers of factorials and factorials of Fibonacci and Lucas. (English) Zbl 07491344 Int. J. Math. Comput. Sci. 17, No. 1, 11-19 (2022). MSC: 11B39 11D99 PDF BibTeX XML Cite \textit{P. Phunphayap} et al., Int. J. Math. Comput. Sci. 17, No. 1, 11--19 (2022; Zbl 07491344) Full Text: Link OpenURL
Lagheliel, Saida; Chillali, Abdelhakim; Mokhtar, Ahmed Ait New encryption scheme using \(k\)-Fibonacci-like sequence. (English) Zbl 1484.11227 Asian-Eur. J. Math. 15, No. 2, Article ID 2250037, 10 p. (2022). MSC: 11T71 11B39 94A60 11G05 PDF BibTeX XML Cite \textit{S. Lagheliel} et al., Asian-Eur. J. Math. 15, No. 2, Article ID 2250037, 10 p. (2022; Zbl 1484.11227) Full Text: DOI OpenURL
Badidja, Salim; Hamdi, Abdeldjabar Some algebraic and analytic properties of generalized Tribonacci and generalized Tribonacci-Lucas like polynomials. (English) Zbl 1485.11019 Asian-Eur. J. Math. 15, No. 2, Article ID 2250028, 25 p. (2022). MSC: 11B39 PDF BibTeX XML Cite \textit{S. Badidja} and \textit{A. Hamdi}, Asian-Eur. J. Math. 15, No. 2, Article ID 2250028, 25 p. (2022; Zbl 1485.11019) Full Text: DOI OpenURL
Amir, Malik; Hong, Letong On \(L\)-functions of modular elliptic curves and certain \(K3\) surfaces. (English) Zbl 07490457 Ramanujan J. 57, No. 3, 1001-1019 (2022). MSC: 11F11 11G05 11G40 11B39 PDF BibTeX XML Cite \textit{M. Amir} and \textit{L. Hong}, Ramanujan J. 57, No. 3, 1001--1019 (2022; Zbl 07490457) Full Text: DOI arXiv OpenURL
Hashemi, M.; Mehraban, E. The generalized order \(k\)-Pell sequences in some special groups of nilpotency class 2. (English) Zbl 07488697 Commun. Algebra 50, No. 4, 1768-1784 (2022). MSC: 11B39 20F05 20D60 PDF BibTeX XML Cite \textit{M. Hashemi} and \textit{E. Mehraban}, Commun. Algebra 50, No. 4, 1768--1784 (2022; Zbl 07488697) Full Text: DOI OpenURL
Rihane, Salah Eddine \(k\)-Pell numbers as product of two repdigits. (English) Zbl 07488617 Mediterr. J. Math. 19, No. 2, Paper No. 61, 14 p. (2022). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{S. E. Rihane}, Mediterr. J. Math. 19, No. 2, Paper No. 61, 14 p. (2022; Zbl 07488617) Full Text: DOI OpenURL
Köme, Cahit; Köme, Sure; Catarino, Paula Quantum calculus approach to the dual bicomplex Fibonacci and Lucas numbers. (English) Zbl 07487922 J. Math. Ext. 16, No. 2, Paper No. 7, 17 p. (2022). MSC: 11B39 05A15 PDF BibTeX XML Cite \textit{C. Köme} et al., J. Math. Ext. 16, No. 2, Paper No. 7, 17 p. (2022; Zbl 07487922) Full Text: DOI OpenURL
Belbachir, Hacène; Rami, Fella; Szalay, László A generalization of hyperbolic Pascal triangles. (English) Zbl 1485.11041 J. Comb. Theory, Ser. A 188, Article ID 105574, 13 p. (2022). Reviewer: Takao Komatsu (Hangzhou) MSC: 11B65 05A10 05A19 11B37 11B39 PDF BibTeX XML Cite \textit{H. Belbachir} et al., J. Comb. Theory, Ser. A 188, Article ID 105574, 13 p. (2022; Zbl 1485.11041) Full Text: DOI OpenURL
Rihane, Salah Eddine; Togbé, Alan On the intersection of \(k\)-Lucas sequences and some binary sequences. (English) Zbl 07479505 Period. Math. Hung. 84, No. 1, 125-145 (2022). Reviewer: Guram Gogishvili (Tbilisi) MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{S. E. Rihane} and \textit{A. Togbé}, Period. Math. Hung. 84, No. 1, 125--145 (2022; Zbl 07479505) Full Text: DOI OpenURL
Ddamulira, Mahadi; Luca, Florian; Tichy, Robert On the Shorey-Tijdeman Diophantine equation involving terms of Lucas sequences. (English) Zbl 1485.11026 Indag. Math., New Ser. 33, No. 2, 314-321 (2022). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11B39 11D61 PDF BibTeX XML Cite \textit{M. Ddamulira} et al., Indag. Math., New Ser. 33, No. 2, 314--321 (2022; Zbl 1485.11026) Full Text: DOI arXiv OpenURL
Bazzanella, Danilo; Di Scala, Antonio; Dutto, Simone; Murru, Nadir Primality tests, linear recurrent sequences and the Pell equation. (English) Zbl 07472669 Ramanujan J. 57, No. 2, 755-768 (2022). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 11Y11 11B39 PDF BibTeX XML Cite \textit{D. Bazzanella} et al., Ramanujan J. 57, No. 2, 755--768 (2022; Zbl 07472669) Full Text: DOI arXiv OpenURL
Hieu, Le Duc; Spilker, Jürgen; Thang, Luu Ba The greatest common divisor of shifted Fibonacci numbers. (English) Zbl 07471084 J. Integer Seq. 25, No. 1, Article 22.1.7, 13 p. (2022). Reviewer: Ahmet Tekcan (Bursa) MSC: 11B39 11B37 PDF BibTeX XML Cite \textit{L. D. Hieu} et al., J. Integer Seq. 25, No. 1, Article 22.1.7, 13 p. (2022; Zbl 07471084) Full Text: Link OpenURL
Alahmadi, Adel; Luca, Florian On the Euler function of \(Y\)-coordinates of Pell equations and repdigits. (English) Zbl 1485.11073 Result. Math. 77, No. 2, Paper No. 59, 6 p. (2022). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11D61 11A25 11B39 11A63 PDF BibTeX XML Cite \textit{A. Alahmadi} and \textit{F. Luca}, Result. Math. 77, No. 2, Paper No. 59, 6 p. (2022; Zbl 1485.11073) Full Text: DOI OpenURL
Chałupka, Karolina; Dąbrowski, Andrzej; Soydan, Gökhan On a class of generalized Fermat equations of signature \((2,2n,3)\). (English) Zbl 07466547 J. Number Theory 234, 153-178 (2022). MSC: 11D61 11B39 PDF BibTeX XML Cite \textit{K. Chałupka} et al., J. Number Theory 234, 153--178 (2022; Zbl 07466547) Full Text: DOI arXiv OpenURL
Nguyen Xuan Tho Solutions to a Lebesgue-Nagell equation. (English) Zbl 07461964 Bull. Aust. Math. Soc. 105, No. 1, 19-30 (2022). Reviewer: Ismail Naci Cangül (Bursa) MSC: 11D61 11D72 11B39 PDF BibTeX XML Cite \textit{Nguyen Xuan Tho}, Bull. Aust. Math. Soc. 105, No. 1, 19--30 (2022; Zbl 07461964) Full Text: DOI OpenURL
Sanna, Carlo On the number of residues of linear recurrences. (English) Zbl 07456315 Res. Number Theory 8, No. 1, Paper No. 7, 10 p. (2022). Reviewer: Mohammad K. Azarian (Evansville) MSC: 11B37 11B39 11B50 PDF BibTeX XML Cite \textit{C. Sanna}, Res. Number Theory 8, No. 1, Paper No. 7, 10 p. (2022; Zbl 07456315) Full Text: DOI arXiv OpenURL
Ulmer, Douglas; Urzúa, Giancarlo Transversality of sections on elliptic surfaces with applications to elliptic divisibility sequences and geography of surfaces. (English) Zbl 07453886 Sel. Math., New Ser. 28, No. 2, Paper No. 25, 36 p. (2022). MSC: 14J27 11B39 14J29 PDF BibTeX XML Cite \textit{D. Ulmer} and \textit{G. Urzúa}, Sel. Math., New Ser. 28, No. 2, Paper No. 25, 36 p. (2022; Zbl 07453886) Full Text: DOI arXiv OpenURL
Javaheri, Mohammad; Cambrea, Stephanie The distribution of Fibonacci numbers modulo primes. (English) Zbl 07452222 Am. Math. Mon. 129, No. 1, 75-79 (2022). MSC: 11B39 PDF BibTeX XML Cite \textit{M. Javaheri} and \textit{S. Cambrea}, Am. Math. Mon. 129, No. 1, 75--79 (2022; Zbl 07452222) Full Text: DOI OpenURL
Szynal-Liana, Anetta; Włoch, Iwona Generalized commutative quaternions of the Fibonacci type. (English) Zbl 1479.11040 Bol. Soc. Mat. Mex., III. Ser. 28, No. 1, Paper No. 1, 9 p. (2022). MSC: 11B39 11B83 PDF BibTeX XML Cite \textit{A. Szynal-Liana} and \textit{I. Włoch}, Bol. Soc. Mat. Mex., III. Ser. 28, No. 1, Paper No. 1, 9 p. (2022; Zbl 1479.11040) Full Text: DOI OpenURL
Meguedmi, Djohra; Rihane, Salah Eddine; Togbé, Alain Generalization of a theorem of Adegbindin, Luca and Togbé. (English) Zbl 1480.11024 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 36, 13 p. (2022). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{D. Meguedmi} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 36, 13 p. (2022; Zbl 1480.11024) Full Text: DOI OpenURL
Liao, Yunhua; Aziz-Alaoui, M. A.; Hou, Yaoping Independent vertex sets in the Zykov sum. (English) Zbl 1477.05092 Discrete Appl. Math. 306, 133-137 (2022). MSC: 05C31 05C69 05C82 05C40 05C76 11B39 PDF BibTeX XML Cite \textit{Y. Liao} et al., Discrete Appl. Math. 306, 133--137 (2022; Zbl 1477.05092) Full Text: DOI OpenURL
Hare, Kevin; Saunders, J. C. Generalised Fibonacci sequences constructed from balanced words. (English) Zbl 07419381 J. Number Theory 231, 349-377 (2022). MSC: 11B37 11B39 11C20 PDF BibTeX XML Cite \textit{K. Hare} and \textit{J. C. Saunders}, J. Number Theory 231, 349--377 (2022; Zbl 07419381) Full Text: DOI arXiv OpenURL
Jiang, Zhaolin; Zheng, Yanpeng; Li, Tianzi Characteristic polynomial, determinant and inverse of a Fibonacci-Sylvester-Kac matrix. (English) Zbl 1478.15011 Spec. Matrices 10, 40-46 (2022). Reviewer: Ian M. Wanless (Clayton) MSC: 15A15 15A18 11B39 11C20 PDF BibTeX XML Cite \textit{Z. Jiang} et al., Spec. Matrices 10, 40--46 (2022; Zbl 1478.15011) Full Text: DOI OpenURL
Bhoi, Kisan; Ray, Prasanta Kumar Perrin numbers expressible as sums of two base \(b\) repdigits. (English) Zbl 07552277 Rend. Ist. Mat. Univ. Trieste 53, Paper No. 18, 11 p. (2021). MSC: 11A25 11B39 11J86 PDF BibTeX XML Cite \textit{K. Bhoi} and \textit{P. K. Ray}, Rend. Ist. Mat. Univ. Trieste 53, Paper No. 18, 11 p. (2021; Zbl 07552277) Full Text: DOI OpenURL
Sevgi, Emre The generalized Lucas hybrinomials with two variables. (English) Zbl 07545355 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 70, No. 2, 622-630 (2021). MSC: 11B39 11B37 PDF BibTeX XML Cite \textit{E. Sevgi}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 70, No. 2, 622--630 (2021; Zbl 07545355) Full Text: DOI OpenURL
Köme, Sure; Köme, Cahit; Yazlik, Yasin Dual-complex generalized \(k\)-Horadam numbers. (English) Zbl 07544696 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 70, No. 1, 117-129 (2021). MSC: 11B39 05A15 PDF BibTeX XML Cite \textit{S. Köme} et al., Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 70, No. 1, 117--129 (2021; Zbl 07544696) Full Text: DOI OpenURL
Çelik, Songül; Durukan, İnan; Özkan, Engin New recurrences on Pell numbers, Pell-Lucas numbers, Jacobsthal numbers, and Jacobsthal-Lucas numbers. (English) Zbl 07544080 Chaos Solitons Fractals 150, Article ID 111173, 8 p. (2021). MSC: 11B39 PDF BibTeX XML Cite \textit{S. Çelik} et al., Chaos Solitons Fractals 150, Article ID 111173, 8 p. (2021; Zbl 07544080) Full Text: DOI OpenURL
Alp, Yasemin; Kocer, E. Gokcen Hybrid Leonardo numbers. (English) Zbl 07544051 Chaos Solitons Fractals 150, Article ID 111128, 5 p. (2021). MSC: 11B37 11B39 11R52 05A15 PDF BibTeX XML Cite \textit{Y. Alp} and \textit{E. G. Kocer}, Chaos Solitons Fractals 150, Article ID 111128, 5 p. (2021; Zbl 07544051) Full Text: DOI OpenURL
Frontczak, Robert; Goy, Taras Additional close links between balancing and Lucas-balancing polynomials. (English) Zbl 07540131 Adv. Stud. Contemp. Math., Kyungshang 31, No. 3, 287-300 (2021). MSC: 11B37 11B39 PDF BibTeX XML Cite \textit{R. Frontczak} and \textit{T. Goy}, Adv. Stud. Contemp. Math., Kyungshang 31, No. 3, 287--300 (2021; Zbl 07540131) Full Text: DOI OpenURL
Bogdanic, Dusko; Janjic, Milan Arithmetics of some sequences via 2-determinants. (English) Zbl 07540056 Bull. Int. Math. Virtual Inst. 11, No. 3, 517-526 (2021). MSC: 11B75 11C20 11B39 PDF BibTeX XML Cite \textit{D. Bogdanic} and \textit{M. Janjic}, Bull. Int. Math. Virtual Inst. 11, No. 3, 517--526 (2021; Zbl 07540056) Full Text: DOI OpenURL
Soykan, Yüksel; Taşdemir, Erkan; Irge, Vedat A study on matrix sequence of adjusted Tribonacci-Lucas numbers. (English) Zbl 07540002 J. Int. Math. Virtual Inst. 11, No. 1, 85-100 (2021). MSC: 11B39 11B83 PDF BibTeX XML Cite \textit{Y. Soykan} et al., J. Int. Math. Virtual Inst. 11, No. 1, 85--100 (2021; Zbl 07540002) Full Text: DOI OpenURL
Anitha, N.; Savitha, H. C.; Lim, Dongkyu Topological indices and bounds for the energy of Fibonacci graph. (English) Zbl 07539957 Proc. Jangjeon Math. Soc. 24, No. 1, 125-140 (2021). MSC: 05C50 05C35 05C09 11B39 PDF BibTeX XML Cite \textit{N. Anitha} et al., Proc. Jangjeon Math. Soc. 24, No. 1, 125--140 (2021; Zbl 07539957) Full Text: DOI OpenURL
Luo, Changsheng; Luo, Jiagui Complete solutions of the simultaneous Pell equations \((a^2+1)y^2-x^2 = y^2-bz^2 = 1\). (English) Zbl 07536313 AIMS Math. 6, No. 9, 9919-9938 (2021). MSC: 11D25 11B37 11B39 PDF BibTeX XML Cite \textit{C. Luo} and \textit{J. Luo}, AIMS Math. 6, No. 9, 9919--9938 (2021; Zbl 07536313) Full Text: DOI OpenURL
Khelifa, Amira; Halim, Yacine General solutions to systems of difference equations and some of their representations. (English) Zbl 07534966 J. Appl. Math. Comput. 67, No. 1-2, 439-453 (2021). MSC: 39A20 11B39 11B83 PDF BibTeX XML Cite \textit{A. Khelifa} and \textit{Y. Halim}, J. Appl. Math. Comput. 67, No. 1--2, 439--453 (2021; Zbl 07534966) Full Text: DOI OpenURL
Boughaba, Souhila; Boussayoud, Ali; Saba, Nabiha; Kanuri, Kasi Viswanadh V. A new family of generating functions of binary products of bivariate complex Fibonacci polynomials and Gaussian numbers. (English) Zbl 07534894 Tbil. Math. J. 14, No. 2, 221-237 (2021). MSC: 05E05 11B39 PDF BibTeX XML Cite \textit{S. Boughaba} et al., Tbil. Math. J. 14, No. 2, 221--237 (2021; Zbl 07534894) Full Text: DOI OpenURL
Erduvan, Fatih; Keskin, Refik Fibonacci numbers which are products of two Jacobsthal numbers. (English) Zbl 07534885 Tbil. Math. J. 14, No. 2, 105-116 (2021). MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{F. Erduvan} and \textit{R. Keskin}, Tbil. Math. J. 14, No. 2, 105--116 (2021; Zbl 07534885) Full Text: DOI OpenURL
Lee, Ho-Hyeong; Park, Jong-Do The limit of reciprocal sum of some subsequential Fibonacci numbers. (English) Zbl 07533432 AIMS Math. 6, No. 11, 12379-12394 (2021). MSC: 11B39 11Y55 40A05 PDF BibTeX XML Cite \textit{H.-H. Lee} and \textit{J.-D. Park}, AIMS Math. 6, No. 11, 12379--12394 (2021; Zbl 07533432) Full Text: DOI OpenURL
Onphaeng, Kritkhajohn; Pongsriiam, Prapanpong Exact divisibility by powers of the integers in the Lucas sequences of the first and second kinds. (English) Zbl 07533398 AIMS Math. 6, No. 11, 11733-11748 (2021). MSC: 11B39 11B37 11A05 PDF BibTeX XML Cite \textit{K. Onphaeng} and \textit{P. Pongsriiam}, AIMS Math. 6, No. 11, 11733--11748 (2021; Zbl 07533398) Full Text: DOI OpenURL