Certain properties of the Laguerre–Sheffer polynomials

被引：0
|
作者：
Subuhi Khan
Tabinda Nahid
机构：
[1] Aligarh Muslim University,Department of Mathematics
来源：
The Journal of Analysis | 2022年 / 30卷
关键词：
Laguerre–Sheffer polynomials; Generalized Pascal functional matrix; Wronskian matrix; Recursive formulas; Differential equation; Primary 65QXX; Secondary 15A24; 33C45;
D O I：
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中图分类号：
学科分类号：
摘要：
The present paper intends to study certain properties of the Laguerre–Sheffer polynomials utilizing matrix algebra. Some indispensable properties such as the recursive formulas, differential equations and identities for the Laguerre–Sheffer, Laguerre-associated Sheffer and Laguerre–Appell polynomials are established. This approach is mainly based upon the properties and relationships between the Pascal functional and Wronskian matrices. Examples providing the corresponding results for some hybrid special polynomials are derived which serve as a focal theme of the study.
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页码：245 / 269
页数：24
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