Search Results for: 11B39

Generalized Fibonacci numbers and Bernoulli polynomials

Anthony G. Shannon, Ömür Deveci and Özgűr Erdağ Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 25, 2019, Number 1, Pages 193—198 DOI: 10.7546/nntdm.2019.25.1.193-198 Download full paper: PDF, 82 Kb Details Authors and affiliations Anthony … Continue reading

Comments Off on Generalized Fibonacci numbers and Bernoulli polynomials

The identities for generalized Fibonacci numbers via orthogonal projection

Yasemin Alp and E. Gökçen Koçer Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 25, 2019, Number 1, Pages 167—177 DOI: 10.7546/nntdm.2019.25.1.167-177 Download full paper: PDF, 171 Kb Details Authors and affiliations Yasemin Alp … Continue reading

Comments Off on The identities for generalized Fibonacci numbers via orthogonal projection

Relations for generalized Fibonacci and Tribonacci sequences

Robert Frontczak Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 25, 2019, Number 1, Pages 178—192 DOI: 10.7546/nntdm.2019.25.1.178-192 Download full paper: PDF, 184 Kb Details Authors and affiliations Robert Frontczak Landesbank Baden-Württemberg Am Hauptbahnhof … Continue reading

Comments Off on Relations for generalized Fibonacci and Tribonacci sequences

On dual Horadam octonions

Nayil Kılıç Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 25, 2019, Number 1, Pages 137—149 DOI: 10.7546/nntdm.2019.25.1.137-149 Download full paper: PDF, 294 Kb Details Authors and affiliations Nayil Kılıç Department of Mathematical Education … Continue reading

Comments Off on On dual Horadam octonions

Almost balancing, triangular and square triangular numbers

Ahmet Tekcan Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 25, 2019, Number 1, Pages 108—121 DOI: 10.7546/nntdm.2019.25.1.108-121 Download full paper: PDF, 247 Kb Details Authors and affiliations Ahmet Tekcan Bursa Uludag University, Faculty … Continue reading

Comments Off on Almost balancing, triangular and square triangular numbers

Larger families of solutions to some Diophantine equations

Lyes Ait-Amrane Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 25, 2019, Number 1, Pages 25—31 DOI: 10.7546/nntdm.2019.25.1.25-31 Download full paper: PDF, 138 Kb Details Authors and affiliations Lyes Ait-Amrane USTHB, Faculty of Mathematics, … Continue reading

Comments Off on Larger families of solutions to some Diophantine equations

On the convergence of second-order recurrence series

Bijan Kumar Patel and Prasanta Kumar Ray Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 4, Pages 120—127 DOI: 10.7546/nntdm.2018.24.4.120-127 Download full paper: PDF, 150 Kb Details Authors and affiliations Bijan … Continue reading

Comments Off on On the convergence of second-order recurrence series

On the Diophantine equation LnLm = 3 • 2a

Zafer Şiar and Refik Keskin Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 4, Pages 112—119 DOI: 10.7546/nntdm.2018.24.4.112-119 Download full paper: PDF, 191 Kb Details Authors and affiliations Zafer Şiar Department … Continue reading

Comments Off on On the Diophantine equation LnLm = 3 • 2a

Generalized dual Fibonacci quaternions with dual coefficient

Fügen Torunbalcı Aydın Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 4, Pages 59—69 DOI: 10.7546/nntdm.2018.24.4.70-85 Download full paper: PDF, 226 Kb Details Authors and affiliations Fügen Torunbalcı Aydın Yildiz Technical … Continue reading

Comments Off on Generalized dual Fibonacci quaternions with dual coefficient

A new symmetric endomorphism operator for some generalizations of certain generating functions

Ali Boussayoud, Abdelhamid Abderrezzak and Serkan Araci Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 4, Pages 45—58 DOI: 10.7546/nntdm.2018.24.4.45-58 Download full paper: PDF, 207 Kb Details Authors and affiliations Ali … Continue reading

Comments Off on A new symmetric endomorphism operator for some generalizations of certain generating functions