Determinant Forms, Difference Equations and Zeros of the q -Hermite-Appell Polynomials

Subuhi Khan and Tabinda Nahid
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Subuhi Khan: Department of Mathematics, Aligarh Muslim University, Aligarh 202001, India
Tabinda Nahid: Department of Mathematics, Aligarh Muslim University, Aligarh 202001, India

Mathematics, 2018, vol. 6, issue 11, 1-16

Abstract: The present paper intends to introduce the hybrid form of q -special polynomials, namely q -Hermite-Appell polynomials by means of generating function and series definition. Some significant properties of q -Hermite-Appell polynomials such as determinant definitions, q -recurrence relations and q -difference equations are established. Examples providing the corresponding results for certain members belonging to this q -Hermite-Appell family are considered. In addition, graphs of certain q -special polynomials are demonstrated using computer experiment. Thereafter, distribution of zeros of these q -special polynomials is displayed.

Keywords: q -Appell polynomials; q -Hermite polynomials; q -Hermite-Appell polynomials; q -recurrence relations; q -difference equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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