[PDF][PDF] On generalized Fibonacci polynomials: Horadam polynomials

Y Soykan - Earthline Journal of Mathematical Sciences, 2023 - researchgate.net
In this paper, we investigate the generalized Fibonacci (Horadam) polynomials and we deal
with, in detail, two special cases which we call them (r, s)-Fibonacci and (r, s)-Lucas …

Generalized tribonacci polynomials

Y Soykan - Earthline Journal of Mathematical Sciences, 2023 - earthlinepublishers.com
In this paper, we investigate the generalized Tribonacci polynomials and we deal with, in
detail, two special cases which we call them (r, s, t)-Tribonacci and (r, s, t)-Tribonacci-Lucas …

[PDF][PDF] A study on generalized fibonacci polynomials: Sum formulas

Y Soykan - International Journal of Advances in Applied …, 2022 - ijaamm.com
A Study on Generalized Fibonacci Polynomials: Sum Formulas Page 1 IJAAMM Int. J. Adv.
Appl. Math. and Mech. 10(1) (2022) 39 – 118 (ISSN: 2347-2529) Journal homepage: www.ijaamm.com …

[PDF][PDF] Simple integral representations for the Fibonacci and Lucas numbers

SM Stewart - 2022 - repository.kaust.edu.sa
SIMPLE INTEGRAL REPRESENTATIONS FOR THE FIBONACCI AND LUCAS NUMBERS Page
1 SIMPLE INTEGRAL REPRESENTATIONS FOR THE FIBONACCI AND LUCAS NUMBERS …

107.01 A simple integral representation of the Fibonacci numbers

SM Stewart - The Mathematical Gazette, 2023 - cambridge.org
The sequence where each number is the sum of the two preceding ones corresponds to the
famous Fibonacci sequence. As is well known, if is a non-negative integer, the Fibonacci …

[PDF][PDF] Sums and generating functions of generalized Fibonacci polynomials via matrix methods

Y Soykan - Int. J. Adv. Appl. Math. Mech, 2023 - researchgate.net
In this paper, we study on the generalized Fibonacci polynomials and we deal with two
special cases namely,(r, s)− Fibonacci and (r, s)− Fibonacci-Lucas polynomials. We present …

[PDF][PDF] Generalized Horadam-Leonardo numbers and polynomials

Y Soykan - Asian Journal of Advanced Research and Reports, 2023 - researchgate.net
In this study, we define and investigate some linear third order polynomials called the
generalized Horadam-Leonardo polynomials (with its two special cases, namely),(r, s) …

On the Integral Representations of the -Pell and -Pell-Lucas Numbers

A Nilsrakoo, W Nilsrakoo - arxiv preprint arxiv:2501.12577, 2025 - arxiv.org
In this paper, the integral representations of the $ k $-Pell and $ k $-Pell-Lucas numbers are
presented. Using Binet's formulas for these numbers, we obtain a number of identities and …

DYNAMIC GEOMETRY OF KASNER TRIANGLES WITH A FIXED WEIGHT.

D Andrica, O Bagdasar… - International Journal of …, 2022 - search.ebscohost.com
In this article we consider the geometrical iterative process defined by the Kasner triangles
with a fixed real weight. The main results about the convergence of this process are given in …

On k-partitions of multisets with equal sums

D Andrica, O Bagdasar - The Ramanujan Journal, 2021 - Springer
We study the number of ordered k-partitions of a multiset with equal sums, having elements
α 1,…, α n and multiplicities m 1,…, mn. Denoting this number by S k (α 1,…, α n; m 1 …