Frontczak, Robert Three new classes of binomial Fibonacci sums. (English) Zbl 07975417 Trans. Comb. 14, No. 4, 251-259 (2025). MSC: 11B39 05A19 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Siricharuanun, Pimchana; Leerawat, Utsanee Some identities for Gibonacci sequence. (English) Zbl 07968956 Int. J. Math. Comput. Sci. 20, No. 2, 489-493 (2025). MSC: 11B37 11B39 11B50 × Cite Format Result Cite Review PDF Full Text: DOI
Nilsrakoo, Achariya; Nilsrakoo, Weerayuth Integral aspects of the generalized Pell and Pell-Lucas numbers. (English) Zbl 07968953 Int. J. Math. Comput. Sci. 20, No. 2, 469-473 (2025). MSC: 11B39 11B37 × Cite Format Result Cite Review PDF Full Text: DOI
Deane, Jonathan H. B.; Gentile, Guido A diluted version of the problem of the existence of the Hofstadter sequence. (English) Zbl 07965409 J. Difference Equ. Appl. 31, No. 1, 48-65 (2025). MSC: 11B37 11B39 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zriaa, Said; Mouçouf, Mohammed Some results on linear recurrence sequences and applications to matrices. (English) Zbl 07965339 Rend. Circ. Mat. Palermo (2) 74, No. 1, Paper No. 12, 19 p. (2025). MSC: 11B39 11C20 15B05 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Rishi Kepler sets of second-order linear recurrence sequences over \(Q_p\). (English) Zbl 07963372 Int. J. Number Theory 21, No. 1, 75-112 (2025). MSC: 11B39 11K41 11E95 22D40 37P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alp, Yasemin; Kocer, E. Gokcen Characterization of almost-Riordan arrays with row sums. (English) Zbl 07960778 Linear Algebra Appl. 706, 101-123 (2025). Reviewer: Juanjo Rué Perna (Barcelona) MSC: 05A15 11B39 15B36 15B99 × Cite Format Result Cite Review PDF Full Text: DOI
Yahea, Abdalgabar K.; Ajeena, Ruma Kareem K. Integer Fibonacci matrix of size \(2\times 2\) for key exchanging scheme. (English) Zbl 07959554 Int. J. Math. Comput. Sci. 20, No. 1, 313-316 (2025). MSC: 94A60 15-XX 15Bxx 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Elder, Jennifer; Harris, Pamela E.; Kretschmann, Jan; Martínez Mori, J. Carlos Parking functions, Fubini rankings, and Boolean intervals in the weak order of \(\mathfrak{S}_n\). (English) Zbl 07959430 J. Comb. 16, No. 1, 65-89 (2025). MSC: 05A05 06A07 05A15 05A19 11B39 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Tian-Xiao The double almost-Riordan group. (English) Zbl 07955791 Linear Algebra Appl. 705, 50-88 (2025). MSC: 05A15 05A05 11B39 11B73 15B36 15A06 05A19 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Baril, Jean-Luc; Ramírez, José L. Fibonacci and Catalan paths in a wall. (English) Zbl 07952084 Discrete Math. 348, No. 2, Article ID 114268, 14 p. (2025). MSC: 05A15 05A16 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Pethő, Attila; Tengely, Szabolcs Common values of linear recurrences related to Shank’s simplest cubics. (English) Zbl 07939409 J. Number Theory 267, 34-79 (2025). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B37 11D25 11J86 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Masáková, Zuzana; Pelantová, Edita Midy’s theorem in non-integer bases and divisibility of Fibonacci numbers. (English) Zbl 07923337 Commun. Math. 33, No. 2, Paper No. 1, 17 p. (2025). MSC: 11A63 11K16 11B39 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sharma, Divyum; Singhal, L. Perfect powers as sums of convergent denominators of quadratic irrationals. arXiv:2502.00296 Preprint, arXiv:2502.00296 [math.NT] (2025). MSC: 11D61 11J86 11A63 11B39 × Cite Format Result Cite Full Text: arXiv OA License
Nilsrakoo, Achariya; Nilsrakoo, Weerayuth On the Integral Representations of the \(k\)-Pell and \(k\)-Pell-Lucas Numbers. arXiv:2501.12577 Preprint, arXiv:2501.12577 [math.NT] (2025). MSC: 11B39 11B37 × Cite Format Result Cite Full Text: arXiv
López, Ronald Orozco Simplicial \(d\)-Polytopic Numbers Defined on Generalized Fibonacci Polynomials. arXiv:2501.11490 Preprint, arXiv:2501.11490 [math.CO] (2025). MSC: 11B39 05A15 11B65 × Cite Format Result Cite Full Text: arXiv
Dargad, Ankita; Larsson, Urban; Balachandran, Niranjan Temperatures of Robin Hood. arXiv:2501.07239 Preprint, arXiv:2501.07239 [math.CO] (2025). MSC: 91A46 91A05 11B39 × Cite Format Result Cite Full Text: arXiv
Chua, Hongshen A Study of Second-Order Linear Recurrence Sequences via Continuants. arXiv:2501.06512 Preprint, arXiv:2501.06512 [math.NT] (2025). MSC: 11A55 11B39 × Cite Format Result Cite Full Text: arXiv
Chua, Hongshen On an Identity by Bruckman and Good. arXiv:2501.06509 Preprint, arXiv:2501.06509 [math.NT] (2025). MSC: 11B39 97I30 × Cite Format Result Cite Full Text: arXiv
Prasad, Bandhu Generalized commutative Fibonacci \(p\)-number quaternions. (English) Zbl 07978876 Math. Appl. (Warsaw) 52, No. 1, 119-136 (2024). MSC: 94B25 94B35 11B39 11T71 × Cite Format Result Cite Review PDF Full Text: DOI Link
Yilmaz, Çiğdem Zeynep; Saçli, Gülsüm Yeliz Investigating the dual quaternion extension of the \(\mathcal{DGC}\) Leonardo sequence. (English) Zbl 07978849 Honam Math. J. 46, No. 4, 677-696 (2024). MSC: 11B37 11B39 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Ömür, Neşe; Koparal, Sibel; Elkhiri, Laid Some sums via Euler’s transform. (English) Zbl 07978828 Honam Math. J. 46, No. 3, 365-377 (2024). MSC: 11B39 05A15 × Cite Format Result Cite Review PDF Full Text: DOI
Soykan, Yüksel; Taşdemir, Erkan A note on \(\mathrm{k}\)-circulant matrices with the generalized third-order Jacobsthal numbers. (English) Zbl 07978441 Adv. Stud.: Euro-Tbil. Math. J. 17, No. 4, 81-101 (2024). MSC: 11B39 11B83 15A18 11C20 15A60 15B36 11C20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chimpanzo, José António Lelo; Catarino, Paula; Otero-Espinar, María On generating matrices of the bidimensional balancing, Lucas-balancing, Lucas-cobalancing and cobalancing numbers. (English) Zbl 07975920 J. Math. Ext. 18, No. 4, Article 2, 20 p. (2024). MSC: 11B39 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Hong Jian; He, Yu Qing The reciprocal sums of the cubes of odd and even terms in the Fibonacci sequence. (Chinese. English summary) Zbl 07974343 Acta Math. Sin., Chin. Ser. 67, No. 5, 926-938 (2024). MSC: 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Özimamoğlu, Hayrullah A new generalization of Lucas quaternions with finite operators. (English) Zbl 07973551 Acta Comment. Univ. Tartu. Math. 28, No. 2, 257-270 (2024). MSC: 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Morales, Gamaliel A note on modified third-order Jacobsthal quaternions and their properties. (English) Zbl 07973545 Acta Comment. Univ. Tartu. Math. 28, No. 2, 187-196 (2024). MSC: 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Craveiro, I. M.; Spreafico, E. V. Pereira; Rachidi, M. Generalized Cassini identities via the generalized Fibonacci fundamental system. Applications. (English) Zbl 07973052 Indian J. Pure Appl. Math. 55, No. 4, 1234-1250 (2024). MSC: 11B39 39A06 39A60 65Q10 65Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Bachabi, Mohamadou; Togbe, Alain On \(k\)-Pell numbers close to power of 2. (English) Zbl 07971526 Rev. Colomb. Mat. 58, No. 1, 67-80 (2024). MSC: 11D45 11B39 11D61 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Hasanalizade, Elchin On the Diophantine equation \((P^{(k)}_n)^2+(P^{(k)}_{n+1})^2=P^{(k)}_m\). (English) Zbl 07970500 Bull. Aust. Math. Soc. 110, No. 2, 211-215 (2024). MSC: 11D61 11B37 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Patra, Asim; Panda, Gopal Krishna Random balancing-like sequences. (English) Zbl 07969980 Arab. J. Math. 13, No. 3, 633-649 (2024). MSC: 11B37 11B39 60E05 × Cite Format Result Cite Review PDF Full Text: DOI
Adédji, Kouéssi Norbert; Adjakidjé, Roméo Jésugnon; Togbé, Alain Mulatu numbers as products of three generalized Lucas numbers. (English) Zbl 07966732 Math. Pannonica (N.S.) 30, No. 2, 142-161 (2024). MSC: 11B39 11J68 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Lai, A. C.; Loreti, P. Optimal expansions of Kakeya sequences. (English) Zbl 07966614 Acta Math. Hung. 174, No. 1, 1-19 (2024). MSC: 11A63 11K31 11B39 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nair, Prabha Sivaraman Convolution identities of \(p\)-numbers. (English) Zbl 07963285 Math. Montisnigri 61, 26-43 (2024). MSC: 11B37 11B39 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Akkuş, Hakan; Özkan, Engin A new approach to Olivier sequences. (English) Zbl 07963284 Math. Montisnigri 61, 14-25 (2024). MSC: 05A15 11B39 11B83 05A15 × Cite Format Result Cite Review PDF Full Text: DOI
De la Sen, Manuel Some boundedness, convergence, and oscillatory results of generalized Fibonacci-type and Fibonacci ratio recurrences. (English) Zbl 07962558 Int. J. Math. Math. Sci. 2024, Article ID 6439971, 21 p. (2024). MSC: 11B39 11B37 × Cite Format Result Cite Review PDF Full Text: DOI
Ayadi, Khalil; Komatsu, Takao Continued fraction expansions towards Zaremba’s conjecture. (English) Zbl 07962380 Exp. Math. 33, No. 4, 755-767 (2024). MSC: 11A55 11J70 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Urieles, Alejandro; Berdugo, Snaider; Ortega, María José; Clemente, Cesarano; Agarwal, Praveen Fourier expansion of periodic \(U\)-Bernoulli, \(U\)-Euler and \(U\)-Genocchi functions and their relation with the Riemann zeta function. (English) Zbl 07959745 J. Contemp. Appl. Math. 14, No. 2, 72-92 (2024). MSC: 11B68 11B83 11B39 05A19 × Cite Format Result Cite Review PDF Full Text: Link
Szynal-Liana, Anetta; Włoch, Iwona Oresme hybrid numbers and hybrationals. (English) Zbl 07959526 Kragujevac J. Math. 48, No. 5, 747-753 (2024). MSC: 11B37 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Öztürk, Rumeysa; Aktaş, İbrahim Coefficient estimate and Fekete-Szegö problems for certain new subclasses of bi-univalent functions defined by generalized bivariate Fibonacci polynomial. (English) Zbl 07959015 Sahand Commun. Math. Anal. 21, No. 3, 35-53 (2024). MSC: 30C45 05A15 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Gaitanas, Konstantinos New primality criterion based on Lucas sequences. (English) Zbl 07957643 Am. Math. Mon. 131, No. 10, 842-854 (2024). MSC: 11B39 11A51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mekkaoui, Mohammed; Taane, Abdelhak; Badidja, Salim Some new identities involving \(p\)-Fibonacci and \(p\)-Lucas numbers with applications. (English) Zbl 07956090 Asian-Eur. J. Math. 17, No. 2, Article ID 2450001, 14 p. (2024). MSC: 11B39 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
Kızılateş, Can; Kibar, İsmail Yusuf On 3-parameter quaternions with higher order generalized Fibonacci numbers components. (English) Zbl 07954809 J. Anal. 32, No. 3, 1819-1832 (2024). MSC: 11B39 11R52 05A15 × Cite Format Result Cite Review PDF Full Text: DOI
Prasad, Kalika; Kumari, Munesh; Tanti, Jagmohan Octonions and hyperbolic octonions with the \(k\)-balancing and \(k\)-Lucas balancing numbers. (English) Zbl 07954779 J. Anal. 32, No. 3, 1281-1296 (2024). MSC: 11B39 11B37 11R52 05A15 × Cite Format Result Cite Review PDF Full Text: DOI
Antony, Deepa; Barman, Rupam On the \(p\)-adic valuation of third order linear recurrence sequences. (English) Zbl 07951538 Result. Math. 79, No. 8, Paper No. 276, 17 p. (2024). MSC: 11B39 11B50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kumari, Munesh; Prasad, Kalika; Tanti, Jagmohan On the generalization of Mersenne and Gaussian Mersenne polynomials. (English) Zbl 07950998 J. Anal. 32, No. 2, 931-947 (2024). MSC: 11B37 11B39 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Bravo, Eric; Irmak, Nurettin The 2-adic valuation of shifted Padovan and Perrin numbers and applications. (English) Zbl 07950861 Turk. J. Math. 48, No. 6, 1183-1196 (2024). MSC: 11A07 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Luca, Florian; Manape, Makoko Campbell On the Euler function of linearly recurrence sequences. (English) Zbl 07950828 Fibonacci Q. 62, No. 4, 316-328 (2024). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11A25 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Liptai, Kálmán; Németh, László; Szakács, Tamás; Szalay, László On certain Fibonacci representations. (English) Zbl 07950825 Fibonacci Q. 62, No. 4, 282-289 (2024). Reviewer: Shigeru Kanemitsu (Kitakyūshū) MSC: 11B39 11B37 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Odjoumani, Japhet Narayana numbers that are products of two generalized Lucas numbers. (English) Zbl 07948433 Indian J. Discrete Math. 10, No. 1, 27-41 (2024). MSC: 11D61 11D72 11B39 11B83 × Cite Format Result Cite Review PDF
Aküzüm, Yeşim; Shannon, Anthony G.; Deveci, Ömür A study on capstone units with Riordan’s factorial powers. (English) Zbl 07946418 Adv. Stud. Contemp. Math., Kyungshang 34, No. 4, 267-271 (2024). MSC: 05A10 11B39 97A99 × Cite Format Result Cite Review PDF Full Text: DOI
Accossato, Federico; Sanna, Carlo On the number of residues of certain second-order linear recurrences. (Sur le nombre de résidus de certaines récurrences linéaires du second ordre.) (English. French summary) Zbl 07945480 C. R., Math., Acad. Sci. Paris 362, 1365-1377 (2024). Reviewer: Artūras Dubickas (Vilnius) MSC: 11B37 11B39 11B50 11K16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adegoke, Kunle; Frontczak, Robert; Goy, Taras Some notes on a Fibonacci-Lucas identity. (English) Zbl 07945335 Proc. Jangjeon Math. Soc. 27, No. 4, 859-869 (2024). MSC: 11B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Malik, Shabir Ahmad On the Lacunary-type univariate complex polynomials. (English) Zbl 07945272 J. Class. Anal. 23, No. 1, 37-49 (2024). MSC: 30A10 30C10 30C15 30C99 × Cite Format Result Cite Review PDF Full Text: DOI
Prasad, Bandhu On \(h(x)\) Lucas \(p\)-polynomials. (English) Zbl 07944629 Appl. Math. E-Notes 24, 477-485 (2024). MSC: 11B39 × Cite Format Result Cite Review PDF Full Text: Link
Zriaa, Said; Mouçouf, Mohammed A common generalization of Dickson polynomials, Fibonacci polynomials, and Lucas polynomials and applications. (English) Zbl 07943367 J. Prime Res. Math. 20, No. 2, 30-47 (2024). MSC: 11B39 11B83 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Nair, Prabha Sivaraman A note on alternating weighted sums of Fibonacci numbers. (English) Zbl 07943300 Math. Montisnigri 60, 32-49 (2024). MSC: 11B37 11B39 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Akkuş, Hakan; Özkan, Engin Generalization of the \(k\)-Leonardo sequence and their hyperbolic quaternions. (English) Zbl 07943299 Math. Montisnigri 60, 14-31 (2024). MSC: 05A15 11B39 11B83 05A15 20G20 × Cite Format Result Cite Review PDF Full Text: DOI
Çelemoğlu, Çağla; Nallı, Ayşe The power-generalized \(k\)-Horadam sequences in different modules and a new cryptographic method with these sequences. (English) Zbl 07942959 Discrete Math. Algorithms Appl. 16, No. 5, Article ID 2350055, 14 p. (2024). MSC: 11B39 11B50 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Jones, Lenny The monogenicity of power-compositional characteristic polynomials. (English) Zbl 1548.11135 Albanian J. Math. 18, No. 1, 21-30 (2024). MSC: 11R04 11B39 11R09 12F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Fox, Nathan The behavior of a three-term Hofstadter-like recurrence with linear initial conditions. (English) Zbl 07941333 J. Integer Seq. 27, No. 7, Article 24.7.4, 1 p. (2024). MSC: 11B37 11B39 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Wang, Xuan Some identities on sum of finite products of Gegenbauer polynomials. (English) Zbl 07940136 JP J. Algebra Number Theory Appl. 63, No. 5, 397-412 (2024). MSC: 11B39 11B37 × Cite Format Result Cite Review PDF Full Text: DOI
Uygun, Sukran The exponential representations of Pell and its generalized matrix sequences. (English) Zbl 07939274 Kyungpook Math. J. 64, No. 3, 395-405 (2024). MSC: 11B39 11B83 15A24 15B36 × Cite Format Result Cite Review PDF Full Text: DOI
Caldarola, Fabio; Carini, Manuela; Maiolo, Mario; Papaleo, Maria Anastasia Iterative mathematical models based on curves and applications to coastal profiles. (English) Zbl 07938390 Mediterr. J. Math. 21, No. 6, Paper No. 178, 29 p. (2024). MSC: 28A80 11B39 86A05 03H05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yong Gao; Wang, Rui Jing The sum of a prime and a term of exponential sequences. (Chinese. English summary) Zbl 07938027 Acta Math. Sin., Chin. Ser. 67, No. 2, 259-272 (2024). MSC: 11P32 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Tiebekabe, Pagdame; Kakanou, Kossi Richmond; Diouf, Ismaïla The Diophantine equation \(T_l = \mathcal{U}_n - \mathcal{U}_m\). (English) Zbl 07935978 Afr. Mat. 35, No. 4, Paper No. 73, 12 p. (2024). MSC: 11B39 11J86 11Y50 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Jianxin Lucas-run graphs. (English) Zbl 07935939 Bull. Malays. Math. Sci. Soc. (2) 47, No. 6, Paper No. 178, 30 p. (2024). MSC: 05C12 05C38 05C51 05C75 05C30 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Khadir, Omar; Németh, László; Szalay, László Tiling of dominoes with ranked colors. (English) Zbl 07933545 Result. Math. 79, No. 7, Paper No. 253, 13 p. (2024). MSC: 05B45 52C20 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Han; Sun, Zhi-Wei Evaluations of three symmetric Toeplitz determinants. (English) Zbl 07929370 Linear Multilinear Algebra 72, No. 15, 2504-2515 (2024). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A15 15B05 11B39 11C20 × Cite Format Result Cite Review PDF Full Text: DOI
Chu, Wenchang; Kiliç, Emrah Partial Fibonomial and Lucanomial sums through the extended \(q\)-Kummer formula. (English) Zbl 07929237 Math. Commun. 29, No. 2, 253-263 (2024). MSC: 11B39 05A30 33D15 × Cite Format Result Cite Review PDF Full Text: Link
Irmak, Nurettin On \(k\)-generalized Fibonacci Diophantine triples. (English) Zbl 07929234 Math. Commun. 29, No. 2, 203-216 (2024). MSC: 11D72 11J86 11B39 × Cite Format Result Cite Review PDF Full Text: Link
Özdemir, Halim; Karakaya, Sinan On some properties of \(k\)-generalized Fibonacci numbers. (English) Zbl 07929233 Math. Commun. 29, No. 2, 193-202 (2024). MSC: 11B39 11C20 × Cite Format Result Cite Review PDF Full Text: Link
Ipek, Ahmet Integral representations of the Pell and Pell-Lucas numbers. (English) Zbl 1547.11022 J. Int. Math. Virtual Inst. 14, No. 1, 109-124 (2024). MSC: 11B39 11R33 × Cite Format Result Cite Review PDF Full Text: DOI
Emin, Ahmet Mersenne numbers that are expressible as the summation of two Fibonacci numbers. (English) Zbl 07928026 Aligarh Bull. Math. 43, No. 1, 65-76 (2024). MSC: 11B39 11D61 11J86 × Cite Format Result Cite Review PDF Full Text: Link
Köme, Sure On the generalized dual Fibonacci and Lucas octonions. (English) Zbl 07927989 Facta Univ., Ser. Math. Inf. 39, No. 3, 391-409 (2024). MSC: 11B39 05A15 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, M. S. Relations between two matrices: Fibonacci-Pascal matrix and inverse FFS polynomials matrix. (English) Zbl 07927784 J. Algebra Appl. Math. 22, No. 2, 97-109 (2024). MSC: 15A16 11C08 11B39 11C20 × Cite Format Result Cite Review PDF Full Text: Link
Allen, Michael A.; Edwards, Kenneth Connections between two classes of generalized Fibonacci numbers squared and permanents of \((0, 1)\) Toeplitz matrices. (English) Zbl 07925358 Linear Multilinear Algebra 72, No. 13, 2091-2103 (2024). Reviewer: Carlos M. da Fonseca (Safat) MSC: 11B39 05A19 05A05 05B45 15A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Belaggoun, N.; Belbachir, H. Recurrence sequences associated to rays in bi-periodic Pascal’s triangle. (English) Zbl 07925084 Acta Math. Univ. Comen., New Ser. 93, No. 3, 137-156 (2024). MSC: 11B39 11B65 05A10 05A15 × Cite Format Result Cite Review PDF Full Text: Link
Cigler, J.; Krattenthaler, C. Hankel determinants of linear combinations of moments of orthogonal polynomials. (English) Zbl 07924567 Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 129-157 (2024). MSC: 11C20 05A10 05A15 05A19 15A15 33C45 42C05 × Cite Format Result Cite Review PDF Full Text: DOI
Bartz, Jeremiah; Dearden, Bruce; Iiams, Joel; Peterson, Julia Powers of two as sums of two balancing numbers. (English) Zbl 07924292 Hoffman, Frederick (ed.) et al., Combinatorics, graph theory and computing. Proceedings of the 52nd Southeastern international conference, SEICCGTC 2021, virtual, Boca Raton, FL, USA, March 8–12, 2021. Singapore: Springer. Springer Proc. Math. Stat. 448, 383-392 (2024). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D61 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, M. S. Family of matrices for polynomials used in artificial neural networks. (English) Zbl 07923769 J. Anal. Appl. 22, No. 2, 107-121 (2024). MSC: 15A16 15A09 11B39 68T07 × Cite Format Result Cite Review PDF Full Text: Link
Prasad, Bandhu On the \((m, t)\)-extension dual complex Fibonacci \(p\)-numbers. (English) Zbl 07923297 Appl. Math. 51, No. 1, 95-108 (2024). MSC: 11B39 94B35 94B25 × Cite Format Result Cite Review PDF Full Text: DOI
Bednarz, P.; Szynal-Liana, A. Bihyperbolic numbers of the Fibonacci type and triangular matrices (tables). (English) Zbl 1548.15025 Azerb. J. Math. 14, No. 2, 79-87 (2024). MSC: 15B36 15A15 11C20 11B39 47B36 × Cite Format Result Cite Review PDF Full Text: Link
Eğecioğlu, Ömer Commentary to: “An Euler-like product with Fibonacci exponents”. (English) Zbl 07919693 Matematica 3, No. 3, 1255-1256 (2024). MSC: 11B39 11P81 × Cite Format Result Cite Review PDF Full Text: DOI
Merca, Mircea The Euler-Riemann zeta function with even arguments in terms of binomial coefficients. (English) Zbl 1546.11118 Guàrdia, Jordi (ed.) et al., New frontiers in number theory and applications. Cham: Birkhäuser. Trends Math., 313-331 (2024). Reviewer: Kamel Mazhouda (Monastir) MSC: 11M06 05E05 11B39 11B68 × Cite Format Result Cite Review PDF Full Text: DOI
Gürses, Nurten; Saçli, Gülsüm Yeliz; Yüce, Salim On extended \(k\)-order Fibonacci and Lucas numbers via \(\mathcal{DGC}\) numbers. (English) Zbl 07918578 Guàrdia, Jordi (ed.) et al., New frontiers in number theory and applications. Cham: Birkhäuser. Trends Math., 155-189 (2024). Reviewer: Jitender Singh (Amritsar) MSC: 11B39 11B37 × Cite Format Result Cite Review PDF Full Text: DOI
Alaa Altassan, Alaa; Alan, Alan Mersenne numbers in generalized Lucas sequences. (English) Zbl 07918196 C. R. Acad. Bulg. Sci. 77, No. 1, 3-10 (2024). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 11B37 11B39 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Alp, Yasemin; Kocer, E. Gokcen Leonardo and hyper-Leonardo numbers via Riordan arrays. (English) Zbl 07916734 Ukr. Math. J. 76, No. 3, 361-378 (2024) and Ukr. Mat. Zh. 76, No. 3, 326-340 (2024). MSC: 11B39 05A19 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
Taia, Abdallah; Taher, Rajae Ben; El Wahbi, Bouazza On the linear recurrence of (generalized) hybrid numbers sequences and moment problems. (English) Zbl 07913029 Complex Anal. Oper. Theory 18, No. 6, Paper No. 146, 16 p. (2024). MSC: 44A60 47A57 30E05 11B39 11R52 × Cite Format Result Cite Review PDF Full Text: DOI
Earp-Lynch, Benjamin; Earp-Lynch, Simon; Kihel, Omar; Pongsumpun, Puntani Extension of the equation \(\sum^k_{j=1} j F_j^p = F_n^p\) to a family of Lucas sequences. (English) Zbl 07912378 Fibonacci Q. 62, No. 3, 241-257 (2024). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D61 × Cite Format Result Cite Review PDF Full Text: Link
Bacon, Michael R.; Cook, Charles K. Some properties of Oresme numbers and convolutions with various second order sequences. (English) Zbl 07912377 Fibonacci Q. 62, No. 3, 233-240 (2024). MSC: 11B39 11A07 × Cite Format Result Cite Review PDF Full Text: Link
Kuhapatanakul, Kantaphon Note on the generalized Leonardo numbers. (English) Zbl 07912374 Fibonacci Q. 62, No. 3, 201-207 (2024). MSC: 11B39 × Cite Format Result Cite Review PDF Full Text: Link
Luca, Florian On the discriminant of the \(k\)-generalized Fibonacci polynomial. II. (English) Zbl 07912373 Fibonacci Q. 62, No. 3, 193-200 (2024). MSC: 11B39 11C08 × Cite Format Result Cite Review PDF Full Text: Link
Adédji, Kouèssi Norbert; Kandhil, Neelam; Togbé, Alain On \(b\)-concatenations of Padovan and Perrin numbers. (English) Zbl 07910993 Bol. Soc. Mat. Mex., III. Ser. 30, No. 2, Paper No. 71, 23 p. (2024). MSC: 11B39 11D61 11J68 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Dragović, Vladimir; Stošić, Marko Billiard partitions, Fibonacci sequences, SIP classes, and quivers. (English) Zbl 1547.05024 Proc. Am. Math. Soc. 152, No. 10, 4141-4154 (2024). MSC: 05A15 05A17 14H70 37J35 16G20 26C05 11B68 11B39 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Youssri, Youssri Hassan; Atta, Ahmed Gamal Modal spectral Tchebyshev Petrov-Galerkin stratagem for the time-fractional nonlinear Burgers’ equation. (English) Zbl 07908524 Iran. J. Numer. Anal. Optim. 14, No. 1, 172-199 (2024). MSC: 65M60 11B39 40A05 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Dişkaya, Orhan; Menken, Hamza On the pseudo-Fibonacci and pseudo-Lucas quaternions. (English) Zbl 07906597 Electron. J. Math. Anal. Appl. 12, No. 1, Paper No. 6, 9 p. (2024). MSC: 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Bensaci, Fatima Zohra; Boumahdi, Rachid; Khaldi, Laala Finite sums involving Fibonacci and Lucas numbers. (English) Zbl 07905777 J. Integer Seq. 27, No. 7, Article 24.7.2, 13 p. (2024). Reviewer: László A. Székely (Columbia) MSC: 11B39 11B68 11B73 × Cite Format Result Cite Review PDF Full Text: Link
Nair, Prabha Sivaraman; Karunakaran, Rejikumar On \(k\)-Fibonacci Brousseau sums. (English) Zbl 07905771 J. Integer Seq. 27, No. 6, Article 24.6.4, 20 p. (2024). MSC: 11B39 11B65 11B83 × Cite Format Result Cite Review PDF Full Text: Link
Yilmaz, Nur Şeyma; Włoch, Andrzej; Özkan, Engin; Strzałka, Dominik On doubled and quadrupled Fibonacci type sequences. (English) Zbl 1548.11046 Ann. Math. Sil. 38, No. 2, 336-350 (2024). MSC: 11B39 11C20 × Cite Format Result Cite Review PDF Full Text: DOI