Search Results for: 05A15

q-Fibonacci bicomplex and q-Lucas bicomplex numbers

Fügen Torunbalcı Aydın Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 2, Pages 261–275 DOI: 10.7546/nntdm.2022.28.2.261-275 Full paper (PDF, 252 Kb) Details Authors and affiliations Fügen Torunbalcı Aydın  Yildiz Technical University, … Continue reading →

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Linear recurrence sequence associated to rays of negatively extended Pascal triangle

Hacène Belbachir, Abdelkader Bouyakoub and Fariza Krim Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 1, Pages 129–142 DOI: 10.7546/nntdm.2022.28.1.129-142 Full paper (PDF, 247 Kb) Details Authors and affiliations Hacène Belbachir … Continue reading →

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Sums involving generalized harmonic and Daehee numbers

Neşe Ömür and Sibel Koparal Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 1, Pages 92–99 DOI: 10.7546/nntdm.2022.28.1.92-99 Full paper (PDF, 193 Kb) Details Authors and affiliations Neşe Ömür Department of … Continue reading →

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Set partitions with isolated successions

Toufik Mansour and Augustine O. Munagi Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 1, Pages 81–91 DOI: 10.7546/nntdm.2022.28.1.81-91 Full paper (PDF, 232 Kb) Details Authors and affiliations Toufik Mansour Department … Continue reading →

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The amplitude of Motzkin paths

Helmut Prodinger Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 1, Pages 41–47 DOI: 10.7546/nntdm.2022.28.1.41-47 Full paper (PDF, 191 Kb) Details Authors and affiliations Helmut Prodinger Department of Mathematics, University of … Continue reading →

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A formula for the number of non-negative integer solutions of a1x1 + a2x2 + ··· + amxm = n in terms of the partial Bell polynomials

Sumit Kumar Jha Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 2, Pages 64–69 DOI: 10.7546/nntdm.2021.27.2.64-69 Full paper (PDF, 187 Kb) Details Authors and affiliations Sumit Kumar Jha International Institute of … Continue reading →

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How to sum powers of balancing numbers efficiently

Helmut Prodinger Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 1, Pages 134–137 DOI: 10.7546/nntdm.2021.27.1.134-137 Full paper (PDF, 145 Kb) Details Authors and affiliations Helmut Prodinger Department of Mathematical Sciences, Stellenbosch … Continue reading →

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On the generalized Fibonacci and Lucas 2k−ions

Sure Köme and Hafize Kirik Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367-8275 Volume 26, 2020, Number 4, Pages 173–186 DOI: 10.7546/nntdm.2020.26.4.173-186 Full paper (PDF, 156 Kb) Details Authors and affiliations Sure Köme Department of … Continue reading →

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Dual bicomplex Horadam quaternions

Kübra Gül Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367-8275 Volume 26, 2020, Number 4, Pages 187–205 DOI: 10.7546/nntdm.2020.26.4.187-205 Full paper (PDF, 156 Kb) Details Authors and affiliations Kübra Gül Department of Computer Engineering, University … Continue reading →

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Explicit formula of a new class of q-Hermite-based Apostol-type polynomials and generalization

Mouloud Goubi Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 26, 2020, Number 4, Pages 93–102 DOI: 10.7546/nntdm.2020.26.4.93-102 Full paper (PDF, 215 Kb) Details Authors and affiliations Mouloud Goubi Department of Mathematics, University of … Continue reading →

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