Results 61 to 70 of about 98 (97)
On Diophantine equations involving Lucas sequences
Open Mathematics, 2019 In this paper, we shall study the Diophantine equation un = R(m)P(m)Q(m), where un is a Lucas sequence and R, P and Q are polynomials (under weak assumptions).
Trojovský Pavel
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On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers
Annales Mathematicae Silesianae, 2019 The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we consider special kinds of hybrid numbers, namely the Jacobsthal and the Jacobsthal-Lucas hybrid numbers and we give some their properties.
Szynal-Liana Anetta, Włoch Iwona
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How Long Can k-Göbel Sequences Remain Integers? [PDF]
Inspired by Episode 3 of the Japanese manga “Seisu-tan” by Doom Kobayashi and Shin-ichiro Seki, we investigate the k-G¨obel sequence (g_)_n named after Fritz G¨obel. Although the sequence is generally defined as rational, quite a few initial terms behave
松比良, 凜ノ介 +8 more
core
On a New One Parameter Generalization of Pell Numbers
Annales Mathematicae Silesianae, 2019 In this paper we present a new one parameter generalization of the classical Pell numbers. We investigate the generalized Binet’s formula, the generating function and some identities for r-Pell numbers.
Bród Dorota
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Two types of hypergeometric degenerate Cauchy numbers
Open Mathematics, 2020 In 1985, Howard introduced degenerate Cauchy polynomials together with degenerate Bernoulli polynomials. His degenerate Bernoulli polynomials have been studied by many authors, but his degenerate Cauchy polynomials have been forgotten.
Komatsu Takao
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On the growth of multi-recurrences. [PDF]
Arch Math, 2022 Fuchs C, Heintze S.
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On a New Generalization of Pell Hybrid Numbers
Annales Mathematicae SilesianaeIn this paper, we define and study a new one-parameter generalization of the Pell hybrid numbers. Based on the definition of r-Pell numbers, we define the r-Pell hybrid numbers.
Bród Dorota +2 more
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Diophantine equations in separated variables and polynomial power sums. [PDF]
Mon Hefte Math, 2021 Fuchs C, Heintze S.
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On prime powers in linear recurrence sequences. [PDF]
Ann Math Quebec, 2023 Odjoumani J, Ziegler V.
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On Matrices with Bidimensional Fibonacci Numbers
Annales Mathematicae SilesianaeIn this paper, the bidimensional extensions of the Fibonacci numbers are explored, along with a detailed examination of their properties, characteristics, and some identities.
Costa Eudes Antonio +1 more
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