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BELL-BASED PARTIALLY DEGENERATE GENOCCHI POLYNOMIALS AND THEIR APPLICATIONS

Author name : NAEEM AHMAD MOHAMMAD ATAULLAH
Publication Date : 2024-11-12
Journal Name : Bulletin of Mathematical Analysis and Applications

Abstract

In this paper, rstly we introduce not only partially degenerate
Bell-Genocchi polynomials, but also a new generalization of degenerate Bell-
Genocchi polynomials. Secondly, we investigate some behaviors of these polynomials.
Furthermore, we establish some implicit summation formulae and
symmetry identities by making use of the generating function of partially degenerate
Bell-Genocchi polynomials. Finally, some results obtained here extend
well-known summations and identities which we stated in the paper.

Keywords

Bell polynomials, partially degenerate Genocchi polynomials, partially degenerate Bell-Genocchi polynomials, summation formulae, symmetric identities

Publication Link

https://www.emis.de/journals/BMAA/repository/docs/BMAA16-4-4.pdf

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