FINDING RESULTS FOR CERTAIN RELATIVES OF THE APPELL POLYNOMIALS

被引：3

作者：

Ali, Mahvish ^{[1
]}

Khan, Subuhi ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh, Uttar Pradesh, India

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2019年 / 56卷 / 01期

关键词：

Appell polynomials; Boas-Buck polynomials; operational techniques; monomiality principle; Carlitz's theorem; DETERMINANTAL APPROACH; COEFFICIENTS; BASES;

D O I：

10.4134/BKMS.b180152

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, a hybrid family of polynomials related to the Appell polynomials is introduced. Certain properties including quasi-monomiality, differential equation and determinant definition of these polynomials are established. Further, applications of Carlitz's theorem to these polynomials and to certain other related polynomials are considered. Examples providing the corresponding results for some members belonging to this family are also considered.

引用

页码：151 / 167

页数：17

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