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

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 d...

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Bibliographic Details
Published in:Mathematics (Basel) 2020-03, Vol.8 (3), p.383
Main Authors: Yasmin, Ghazala, Ryoo, Cheon Seoung, Islahi, Hibah
Format: Article
Language:English
Subjects:
generating function
q-appell polynomials and numbers
q-calculus
q-generalized tangent polynomials and numbers
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Summary: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math8030383