Results 31 to 40 of about 254,888 (94)

A Determinant Expression for the Generalized Bessel Polynomials

Journal of Applied Mathematics, Volume 2013, Issue 1, 2013., 2013
Using the exponential Riordan arrays, we show that a variation of the generalized Bessel polynomial sequence is of Sheffer type, and we obtain a determinant formula for the generalized Bessel polynomials. As a result, the Bessel polynomial is represented as determinant the entries of which involve Catalan numbers.
Sheng-liang Yang, Sai-nan Zheng, Carla Roque   +2 more
wiley   +1 more source

On some properties on bivariate Fibonacci and Lucas polynomials

, 2007
In this paper we generalize to bivariate polynomials of Fibonacci and Lucas, properties obtained for Chebyshev polynomials. We prove that the coordinates of the bivariate polynomials over appropriate basis are families of integers satisfying remarkable recurrence relations.
Belbachir, Hacène, Bencherif, Farid
openaire   +3 more sources

On the ψ− Sheffer F− Polynomials and Their Degenerate Matrices

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, we systematically construct a novel framework within umbral calculus by integrating the structures of generalized F‐calculus and degenerate sequences. Utilizing Roman’s foundational approach to umbral calculus, we first introduce a new family of ψ − F− linear functionals and their corresponding ψ − F− differential operators on the ...
Semra Kuş, Smritijit Sen
wiley   +1 more source

A Note on Incomplete Fibonacci–Lucas Relations

, 2023
We define the incomplete generalized bivariate Fibonacci p-polynomials and the incomplete generalized bivariate Lucas p-polynomials. We study their recursive relations and derive an interesting relationship through their generating functions ...
Jingyang Zhong, Jialing Yao, Chan-Liang Chung   +2 more
core   +1 more source

Tridiagonal matrices representations of generalized bivariate complex polynomials

Journal of Innovative Applied Mathematics and Computational Sciences
This paper introduces a closed-form expression for generalized bivariate complex polynomials using a tridiagonal determinant in symbolic form. Subsequences with even and odd indices are also represented as tridiagonal determinants.
K. L. Verma
doaj   +1 more source

Bivariate Vieta-Fibonacci and Bivariate Vieta-Lucas Polynomials

IOSR Journal of Mathematics, 2016
In this paper, we consider the bivariate Vieta-Fibonacci and bivariate Vieta-Lucas polynomials which are generalized of Vieta-Fibonacci, Vieta-Lucas, Vieta-Pell, Vieta-Pell-Lucas polynomials. Also, we give the some properties. Afterwards, we obtain the some identities for the bivariate Vieta-Fibonacci and bivariate Vieta-Lucas polynomials by using the ...
openaire   +1 more source

Abstract Book: 25th Congress of the European Hematology Association Virtual Edition, 2020

, 2020
HemaSphere, Volume 4, Issue S1, Page 1-1168, June 2020.
wiley   +1 more source

Some elementary aspects of q-Fibonacci and q-Lucas polynomials [PDF]

, 2022
Based on well-known properties of Fibonacci and Lucas numbers and polynomials we give a self-contained approach to some bivariate analogs.Comment: 21 ...
Cigler, Johann
core  

(2, k)-Distance Fibonacci Polynomials

, 2021
In this paper we introduce and study (2,k)-distance Fibonacci polynomials which are natural extensions of (2,k)-Fibonacci numbers. We give some properties of these polynomials—among others, a graph interpretation and matrix generators.
Dorota Bród, Andrzej Włoch
core   +1 more source

On Bivariate Fubini-Fibonacci Polynomials and Numbers

Pan-American Journal of Mathematics
In this paper, we introduce a new type of Fubini polynomials called bivariate Fubini-Fibonacci polynomials, denoted by \(F_{n}^{f}(x, y)\) using golden exponential function, via generating function\[\frac{e_{f}^{xt}}{1-y(e_{f}^{t}-1)}=\sum_{n=0}^{\infty} F_{n}^{f}(x,y) \frac{t^{n}}{f_{n}!}. \nonumber\]We then derive some fundamental properties of these
Normia C. Ampaso, Nestor G. Acala
openaire   +1 more source