SOME IDENTITIES ON SUM OF FINITE PRODUCTS OF GEGENBAUER POLYNOMIALS

被引:0
|
作者
Wang, Xuan [1 ]
机构
[1] Northwest Univ, Res Ctr Number Theory & Its Applicat, Xian 710127, Shaanxi, Peoples R China
来源
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2024年 / 63卷 / 05期
关键词
Gegenbauer polynomial; new identity; convolution sums; CHEBYSHEV POLYNOMIALS;
D O I
10.17654/0972555524024
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study the sum of finite products of Gegenbauer polynomials and derive some new and interesting identities by means of algebraic manipulations, combinatorial methods and power series properties.
引用
收藏
页码:397 / 412
页数:16
相关论文
共 50 条
  • [31] Some Identities Involving the Fubini Polynomials and Euler Polynomials
    Chen, Guohui
    Chen, Li
    MATHEMATICS, 2018, 6 (12):
  • [32] SOME IDENTITIES FOR BERNOULLI POLYNOMIALS INVOLVING CHEBYSHEV POLYNOMIALS
    Kim, Dae San
    Kim, Taekyun
    Lee, Sang-Hun
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 16 (01) : 172 - 180
  • [33] Appendix: Gegenbauer Polynomials
    Kobayashi, Toshiyuki
    Kubo, Toshihisa
    Pevzner, Michael
    CONFORMAL SYMMETRY BREAKING OPERATORS FOR DIFFERENTIAL FORMS ON SPHERES, 2016, 2170 : 173 - 184
  • [34] SOME PRODUCT-SUM IDENTITIES
    CARLITZ, L
    AMERICAN MATHEMATICAL MONTHLY, 1978, 85 (07): : 570 - 572
  • [35] On some sum-to-product identities
    Cooper, S
    Hirschhorn, M
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2001, 63 (03) : 353 - 365
  • [36] Some identities involving Appell polynomials
    Mihoubi, Miloud
    Taharbouchet, Said
    QUAESTIONES MATHEMATICAE, 2020, 43 (02) : 203 - 212
  • [37] Some identities of degenerate special polynomials
    Kim, Dae San
    Kim, Taekyun
    OPEN MATHEMATICS, 2015, 13 : 380 - 389
  • [38] Some Identities Involving Chebyshev Polynomials
    Li, Xiaoxue
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [39] On the Lucas polynomials and some of their new identities
    Jin, Zhang
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [40] Some identities of Lah–Bell polynomials
    Yuankui Ma
    Dae San Kim
    Taekyun Kim
    Hanyoung Kim
    Hyunseok Lee
    Advances in Difference Equations, 2020