Sums of finite products of Pell polynomials in terms of hypergeometric functions

被引：0
|
作者：
Asim Patra
Gopal Krishna Panda
机构：
[1] National Institute of Technology,Department of Mathematics
来源：
Journal of the Egyptian Mathematical Society | / 30卷 / 1期
关键词：
Pell polynomials; Chebyshev polynomials; Hypergeometric functions; Finite products;
D O I：
10.1186/s42787-022-00137-y
中图分类号：
学科分类号：
摘要：
In this work, we study sums of finite products of Pell polynomials and express them in terms of some special orthogonal polynomials. Furthermore, each of the obtained expression is represented as linear combinations of classical polynomials involving hypergeometric functions by means of explicit computations.
引用
收藏
相关论文
共 50 条
  • [1] On sums of finite products of balancing polynomials
    Kim, Dae San
    Kim, Taekyun
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 377 (377)
  • [2] POWER SUMS OF PELL AND PELL-LUCAS POLYNOMIALS
    Chu, Wenchang
    Li, Nadia N.
    FIBONACCI QUARTERLY, 2011, 49 (02): : 139 - 150
  • [3] Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions
    Qi, Feng
    Huang, Chuan-Jun
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (04)
  • [4] Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions
    Feng Qi
    Chuan-Jun Huang
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020, 114
  • [5] Binomial Sums with Pell and Lucas Polynomials
    Guo, Dongwei
    Chu, Wenchang
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2021, 28 (01) : 133 - 145
  • [6] Asymptotics of sums of hypergeometric terms
    A. A. Ryabenko
    S. L. Skorokhodov
    Programming and Computer Software, 2005, 31 : 65 - 72
  • [7] Asymptotics of sums of hypergeometric terms
    Ryabenko, AA
    Skorokbodov, SL
    PROGRAMMING AND COMPUTER SOFTWARE, 2005, 31 (02) : 65 - 72
  • [8] Sums of finite products of Legendre and Laguerre polynomials
    Taekyun Kim
    Dae San Kim
    Dmitry V. Dolgy
    Jin-Woo Park
    Advances in Difference Equations, 2018
  • [9] Sums of finite products of Legendre and Laguerre polynomials
    Kim, Taekyun
    Kim, Dae San
    Dolgy, Dmitry, V
    Park, Jin-Woo
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [10] Representation by Chebyshev Polynomials for Sums of Finite Products of Chebyshev Polynomials
    Kim, Taekyun
    Kim, Dae San
    Jang, Lee-Chae
    Dolgy, Dmitry V.
    SYMMETRY-BASEL, 2018, 10 (12):
12345