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A Numerical Computation of Zeros of q -Generalized Tangent-Appell Polynomials

Ghazala Yasmin, Cheon Seoung Ryoo and Hibah Islahi
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Ghazala Yasmin: Department of Applied Mathematics, Aligarh Muslim University, Aligarh 202002, India
Cheon Seoung Ryoo: Department of Mathematics, Hannam University, Daejeon 306-791, Korea
Hibah Islahi: Department of Applied Mathematics, Aligarh Muslim University, Aligarh 202002, India

Mathematics, 2020, vol. 8, issue 3, 1-20

Abstract: The intended objective of this study is to define and investigate a new class of q -generalized tangent-based Appell polynomials by combining the families of 2-variable q -generalized tangent polynomials and q -Appell polynomials. The investigation includes derivations of generating functions, series definitions, and several important properties and identities of the hybrid q -special polynomials. Further, the analogous study for the members of this q -hybrid family are illustrated. The graphical representation of its members is shown, and the distributions of zeros are displayed.

Keywords: q -calculus; q -generalized tangent polynomials and numbers; q -Appell polynomials and numbers; generating function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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