Determinantal approach to certain mixed special polynomials related to Gould–Hopper polynomials

Subuhi Khan and Mumtaz Riyasat

Applied Mathematics and Computation, 2015, vol. 251, issue C, 599-614

Abstract: In this article, the Gould–Hopper–Sheffer polynomials are introduced by means of generating function and determinantal definition. Certain properties of these polynomials are established and operational relations between the Sheffer and Gould–Hopper–Sheffer polynomials are derived. Examples of some members belonging to the Gould–Hopper–Sheffer and Gould–Hopper–Appell polynomials families are considered and the corresponding numbers for certain polynomials are also obtained.

Keywords: Operational methods; Gould–Hopper–Sheffer polynomials; Gould–Hopper–Hermite polynomials; Gould–Hopper–Laguerre polynomials (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:251:y:2015:i:c:p:599-614

DOI: 10.1016/j.amc.2014.11.081

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