A common generalization of convolved (u, v)-Lucas first and second kinds p-polynomials

Adikanda Behera; Prasanta Kumar Ray

doi:10.2478/ausm-2021-0019

.blurhash-client-img { display: none !important; }

A common generalization of convolved (u, v)-Lucas first and second kinds p-polynomials

Acta Universitatis Sapientiae, Mathematica

Volume 13 (2021): Issue 2 (December 2021)

By: Adikanda Behera and Prasanta Kumar Ray

Open Access

|Dec 2021

Abstract

In this note the convolved (u, v)-Lucas first kind and the convolved (u, v)-Lucas second kind p-polynomials are introduced and study some of their properties. Several identities related to the common generalization of convolved (u, v)-Lucas first and second kinds p-polynomials are also presented.

References

[1] M. Anđelić, Z. Du, C. M. da Fonseca and E. Kiliç, A matrix approach to some second-order difference equations with sign-alternating coefficients, J. Differ. Equ. Appl., 26 (2020), 149–162.10.1080/10236198.2019.1709180
Search in Google Scholar Back to article
[2] R. G. Buschman, Fibonacci numbers, Chebyshev polynomials, Generalizations and differential equations, Fibonacci Quart., 1 (1963), 1–8, 19.
Search in Google Scholar Back to article
[3] W. M. Abd-Elhameed, Y.H. Youssri, N. El-Sissi and M. Sadek, New hypergeometric connection formulae between Fibonacci and chebyshev polynomials, Ramanujan J., 42 (2017), 347–361.10.1007/s11139-015-9712-x
Search in Google Scholar Back to article
[4] C. M. da Fonseca, Unifying some Pell and Fibonacci identities, Appl. Math. Comput., 236 (2014), 41–42.10.1016/j.amc.2014.03.064
Search in Google Scholar Back to article
[5] A. F. Horadam, Basic properties of a certain generalized sequence of numbers, Fibonacci Quart., 3 (1965), 161–176.
Search in Google Scholar Back to article
[6] A. Şahin and J. L. Ramírez, Determinantal and permanental representations of convolved Lucas polynomials, Appl. Math. Comput., 281 (2016), 314–322.10.1016/j.amc.2016.01.064
Search in Google Scholar Back to article
[7] X. Ye and Z. Zhang, A common generalization of convolved generalized Fibonacci and Lucas polynomials and its applications, Appl. Math. Comput., 306 (2017), 31–37.10.1016/j.amc.2017.02.016
Search in Google Scholar Back to article

DOI: https://doi.org/10.2478/ausm-2021-0019 | Journal eISSN: 2066-7752

Journal RSS Feed

Language: English

Page range: 305 - 320

Published on: Dec 30, 2021

Published by: Sapientia Hungarian University of Transylvania

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

(u, v)-Lucas first kind p-polynomials,

(u, v)-Lucas second kind p-polynomials,

convolved (u,v)-Lucas first kind p-polynomials,

convolved (u, v)-Lucas second kind p-polynomials

Related subjects:

Mathematics,

General mathematics

© 2021 Adikanda Behera, Prasanta Kumar Ray, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Previous article Volume 13 (2021): Issue 2 (December 2021)Next article