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Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering

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A New Class of Truncated Exponential-Gould-Hopper-based Genocchi Polynomials

Author(s): Ghazala Yasmin and Hibah Islahi *

Pp: 121-135 (15)

DOI: 10.2174/9789815079333123010010

* (Excluding Mailing and Handling)

Abstract

The present paper introduces a hybrid family of truncated exponential-Gould-Hopper-based Genocchi polynomials by means of generating function and series definition. Some significant properties of these polynomials are established. In addition, graphs of truncated exponential-Gould-Hopper-based Genocchi polynomials are drawn using Matlab. Thereafter, the distribution of zeros of these polynomials is shown.

Keywords: Truncated exponential-Gould-Hopper polynomials, Genocchi poly-nomials, Monomiality principle, Operational techniques.

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