Ordinary generating function for a class of Appell polynomials and Stirling symmetric polynomials

被引：0

作者：

Hacène Belbachir

机构：

[1] USTHB,

[2] Faculty of Mathematics,undefined

[3] RECITS Laboratory,undefined

[4] BP 32,undefined

来源：

Indian Journal of Pure and Applied Mathematics | 2022年 / 53卷

关键词：

Generating functions; Appell polynomials; Euler polynomials; Genocchi polynomials; Stirling symmetric polynomials; Weighted generalized hyperharmonic numbers; -Stirling numbers; 11B68; 05A15; 11B83; 11C08; 05A19; 40G99;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We give an explicit form for the ordinary generating function of a class of Appell polynomials. This class contains the Euler and Genocchi polynomials. The technic used also works for Bernoulli polynomials. In the sequel, we introduce the weighted generalized hyperharmonic numbers. We establish for this family of Appell polynomials an expression in terms of Stirling symmetric polynomials introduced in this paper.

引用

页码：138 / 143

页数：5

共 50 条

[1] Ordinary generating function for a class of Appell polynomials and Stirling symmetric polynomials
Belbachir, Hacene
[J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2022, 53 (01): : 138 - 143
[2] Wronskian Appell polynomials and symmetric functions
Bonneux, Niels
Hamaker, Zachary
Stembridge, John
Stevens, Marco
[J]. ADVANCES IN APPLIED MATHEMATICS, 2019, 111
[3] APPELL POLYNOMIALS WHOSE GENERATING FUNCTION IS MEROMORPHIC ON ITS CIRCLE OF CONVERGENCE
BUCKHOLTZ, JD
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 79 (02) : 469 - 472
[4] The L-Appell Symmetric Orthogonal Polynomials
Mohamed Gaied
[J]. Mediterranean Journal of Mathematics, 2017, 14
[5] A generating function for a class of generalized Bernoulli polynomials
Eugenio P. Balanzario
Jorge Sánchez-Ortiz
[J]. The Ramanujan Journal, 2009, 19 : 9 - 18
[6] A generating function for a class of generalized Bernoulli polynomials
Balanzario, Eugenio P.
Sanchez-Ortiz, Jorge
[J]. RAMANUJAN JOURNAL, 2009, 19 (01): : 9 - 18
[7] The L-Appell Symmetric Orthogonal Polynomials
Gaied, Mohamed
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (05)
[8] On generating symmetric orthogonal polynomials
Masjed-Jamei, Mohammad
Koepf, Wolfram
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2013, 58 (10) : 1373 - 1385
[9] ON APPELL POLYNOMIALS
VARMA, RS
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1951, 2 (04) : 593 - 596
[10] A CLASS OF POLYNOMIALS AND A GENERALIZATION OF STIRLING NUMBERS
CHAK, AM
[J]. DUKE MATHEMATICAL JOURNAL, 1956, 23 (01) : 45 - 55

← 1 2 3 4 5 →