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, 2022 Bu çalışmada Fibonacci Sayıları, Pell Sayıları, Pell-Lucas Sayıları esas alınarak Genelleştirilmiş Lucas ve Genelleştirilmiş Pell-Lucas şeklindeki yeni sayı dizileri tanımlanmıştır.
Zişan KUŞAKSIZ TAŞ
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Generalizations of the Fibonacci and Lucas polynomials
Filomat, 2009 In this note we consider two sequences of polynomials, which are denoted by {Un(k),m} and {Vn(k),m}, where k, m, n are nonnegative integers, and m ? 2. These sequences represent generalizations of the well-known Fibonacci and Lucas polynomials. For example, if m = 2, then we obtain exactly the Fibonacci and Lucas polynomials. If m = 3, then polynomials
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Abstract Supplement HIV Glasgow 8–11 November 2026, Glasgow, UK/Virtual
Journal of the International AIDS Society, Volume 29, Issue S6, November 2026.
wiley +1 more source
DOI:10.2298/FIL0903291D GENERALIZATIONS OF THE FIBONACCI AND LUCAS POLYNOMIALS
, 2014 In this note we consider two sequences of polynomials, which are denoted by {U (k) n,m} and {V (k) n,m}, where k, m, n are nonnegative integers, and m ≥ 2. These sequences represent generalizations of the well-known Fibonacci and Lucas polynomials.
Gospava B. Djordjević
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Apostol Bernoulli-Lucas polynomials, Apostol Euler-Lucas polynomials and their properties
AIMS MathematicsChunyan Li, Zhizheng Zhang
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An Alternative Approach to Cigler’s q-Lucas Polynomials
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hacène Belbachir
exaly +4 more sources
The \(h(x)\)-Lucas quaternion polynomials
, 2017 Summary: In this paper, we study \(h(x)\)-Lucas quaternion polynomials considering several properties involving these polynomials and we present the exponential generating functions and the Poisson generating functions of the \(h(x)\)-Lucas quaternion polynomials.
Kilic, Nayil
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On h(x)-Lucas quaternion polynomials.
Ars Comb., 2015 In this paper, we introduce h(x)-Lucas quaternion polynomials that generalize k-Lucas quaternion numbers that generalize Lucas quaternion numbers. Also we derive the Binet formula and generating function of h(x)-Lucas quaternion polynomial sequence.
Arı, Kamil
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Some Novel Formulas of Lucas Polynomials via Different Approaches
Symmetry, 2023 Some new formulas related to the well-known symmetric Lucas polynomials are the primary focus of this article. Different approaches are used for establishing these formulas.
Anna Napoli +1 more
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ON SUMS OF BIVARIATE FIBONACCI POLYNOMIALS AND BIVARIATE LUCAS POLYNOMIALS
South East Asian J. of Mathematics and Mathematical Sciences, 2022In this paper, we present the sum of s+1 consecutive member of Bivariate Fibonacci Polynomials and Bivariate Lucas Polynomials and related identities consisting even and odd terms. We present its two cross two matrix and find interesting properties such as nth power of the matrix.
Panwar, Yashwant K. +2 more
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