Search Results for: 11B39

p-Analogue of biperiodic Pell and Pell–Lucas polynomials

Bahar Kuloğlu, Engin Özkan and Anthony G. Shannon Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 2, Pages 336–347 DOI: 10.7546/nntdm.2023.29.2.336-347 Full paper (PDF, 944 Kb) Details Authors and affiliations Bahar … Continue reading

Comments Off on p-Analogue of biperiodic Pell and Pell–Lucas polynomials

On the k-Fibonacci and k-Lucas spinors

Munesh Kumari, Kalika Prasad and Robert Frontczak Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 2, Pages 322–335 DOI: 10.7546/nntdm.2023.29.2.322-335 Full paper (PDF, 285 Kb) Details Authors and affiliations Munesh Kumari … Continue reading

Comments Off on On the k-Fibonacci and k-Lucas spinors

The quaternion-type cyclic-Fibonacci sequences in groups

Nazmiye Yilmaz, Esra Kırmızı Çetinalp and Ömür Deveci Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 2, Pages 226–240 DOI: 10.7546/nntdm.2023.29.2.226-240 Full paper (PDF, 267 Kb) Details Authors and affiliations Nazmiye … Continue reading

Comments Off on The quaternion-type cyclic-Fibonacci sequences in groups

Some identities involving Chebyshev polynomials, Fibonacci polynomials and their derivatives

Jugal Kishore and Vipin Verma Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 2, Pages 204–215 DOI: 10.7546/nntdm.2023.29.2.204-215 Full paper (PDF, 186 Kb) Details Authors and affiliations Jugal Kishore Department of … Continue reading

Comments Off on Some identities involving Chebyshev polynomials, Fibonacci polynomials and their derivatives

Hybrid hyper-Fibonacci and hyper-Lucas numbers

Yasemin Alp Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 1, Pages 154–170 DOI: 10.7546/nntdm.2023.29.1.154-170 Full paper (PDF, 311 Kb) Details Authors and affiliations Yasemin Alp Department of Education of Mathematics … Continue reading

Comments Off on Hybrid hyper-Fibonacci and hyper-Lucas numbers

Combinatorial proofs of identities for the generalized Leonardo numbers

Mark Shattuck Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 4, Pages 778–790 DOI: 10.7546/nntdm.2022.28.4.778-790 Full paper (PDF, 210 Kb) Details Authors and affiliations Mark Shattuck Department of Mathematics, University of … Continue reading

Comments Off on Combinatorial proofs of identities for the generalized Leonardo numbers

On generalized (kr)-Pell and (kr)-Pell–Lucas numbers

Bahar Kuloğlu and Engin Özkan Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 4, Pages 765–777 DOI: 10.7546/nntdm.2022.28.4.765-777 Full paper (PDF, 273 Kb) Details Authors and affiliations Bahar Kuloğlu Department of … Continue reading

Comments Off on On generalized (kr)-Pell and (kr)-Pell–Lucas numbers

On combined 3-Fibonacci sequences

Krassimir T. Atanassov, Lilija C. Atanassova and Anthony G. Shannon Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 4, Pages 758–764 DOI: 10.7546/nntdm.2022.28.4.758-764 Full paper (PDF, 145 Kb) Details Authors and … Continue reading

Comments Off on On combined 3-Fibonacci sequences

On a new class of the generalized Gauss k-Pell numbers and their polynomials

Ahmet Kaya and Hayrullah Özimamoğlu Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 4, Pages 593–602 DOI: 10.7546/nntdm.2022.28.4.593-602 Full paper (PDF, 174 Kb) Details Authors and affiliations Ahmet Kaya Departments of … Continue reading

Comments Off on On a new class of the generalized Gauss k-Pell numbers and their polynomials

On recurrence results from matrix transforms

Ömür Deveci and Anthony G. Shannon Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 4, Pages 589–592 DOI: 10.7546/nntdm.2022.28.4.589-592 Full paper (PDF, 693 Kb) Details Authors and affiliations Ömür Deveci Department … Continue reading

Comments Off on On recurrence results from matrix transforms