Identities involving 3-variable Hermite polynomials arising from umbral method

被引：7

作者：

Raza, Nusrat ^{[1
]}

Zainab, Umme ^{[2
]}

Araci, Serkan ^{[3
]}

Esi, Ayhan ^{[4
]}

机构：

[1] Aligarh Muslim Univ, Math Sect, Womens Coll, Aligarh 202002, Uttar Pradesh, India

[2] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

[3] Hasan Kalyoncu Univ, Fac Econ Adm & Social Sci, Dept Econ, TR-27410 Gaziantep, Turkey

[4] Malatya Turgut Ozal Univ, Engn Fac, Dept Basic Engn Sci, TR-44040 Malatya, Turkey

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

关键词：

Umbral method (umbra); 3-variable generalised Hermite polynomials; 4-parameter 3-variable Hermite polynomials; Generating function;

D O I：

10.1186/s13662-020-03102-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we employ an umbral method to reformulate the 3-variable Hermite polynomials and introduce the 4-parameter 3-variable Hermite polynomials. We also obtain some new properties for these polynomials. Moreover, some special cases are discussed and some concluding remarks are also given.

引用

页数：16

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