p-Deformation of a General Class of Polynomials and its Properties
DOI:
https://doi.org/10.18311/jims/2018/17945Keywords:
General Class of p-deformed Polynomials, p-Deformed Inverse Series Relation, p-Deformed combinatorial identitiesAbstract
The work incorporates the extension of the Srivastava-Pathan's generalized polynomial by means of p-generalized gamma function: Γ<sub>p</sub> and Pochhammer p-symbol (x)<sub>n,p</sub> due to Rafael Dıaz and Eddy Pariguan [Divulgaciones Mathematicas Vol.15, No. 2(2007), pp. 179-192]. We establish the inverse series relation of this extended polynomial with the aid of general inversion theorem. We also obtain the generating function relations and the differential equation. Certain p-deformed combinatorial identities are illustrated in the last section.Downloads
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Copyright (c) 2018 Rajesh V. Savalia, B. I. Dave
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This work is licensed under a Creative Commons Attribution 4.0 International License.
Accepted 2023-01-30
Published 2018-01-04
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