NEW CLASS OF GENERALIZED APOSTOL-TYPE FROBENIUS-EULER-HERMITE POLYNOMIALS

被引：3
|
作者：
Pathan, M. A. [1 ]
Khan, Waseem A. [2 ]
机构：
[1] Ctr Math & Stat Sci CMSS, Peechi PO, Trichur 680653, Kerala, India
[2] Prince Mohammad Bin Fahd Univ, Dept Math & Nat Sci, POB 1664, Al Khobar 31952, Saudi Arabia
来源：
HONAM MATHEMATICAL JOURNAL | 2020年 / 42卷 / 03期
关键词：
Hermite polynomials; Frobenius-Euler polynomials; Apostol type Frobenius Euler-Hermite polynomials; Identities;
D O I：
10.5831/HMJ.2020.42.3.477
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce a new class of generalized Apostol-type Frobenius-Euler-Hermite polynomials and derive some explicit and implicit summation formulae and symmetric identities by using different analytical means and applying generating functions. These results extend some known summations and identities of generalized Frobenius-Euler type polynomials and Hermite-based Apostol-Euler and Apostol-Genocchi polynomials studied by Pathan and Khan, Kurt and Simsek.
引用
收藏
页码：477 / 499
页数：23
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