p-Deformation of a General Class of Polynomials and its Properties

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Authors

  • ,IN
  • ,IN

DOI:

https://doi.org/10.18311/jims/2018/17945

Keywords:

General Class of p-deformed Polynomials, p-Deformed Inverse Series Relation, p-Deformed combinatorial identities

Abstract

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.

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Published

2018-01-04

How to Cite

Savalia, R. V., & Dave, B. I. (2018). p-Deformation of a General Class of Polynomials and its Properties. The Journal of the Indian Mathematical Society, 85(1-2), 226–240. https://doi.org/10.18311/jims/2018/17945
Received 2017-09-07
Accepted 2023-01-30
Published 2018-01-04

 

References

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