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Authors: BHARTI VISHANDAS NATHWANI.
DOI: 10.24193/subbmath.2020.3.07
Published Online: 2020-09-15
Published Print: 2020-09-15
pp. 379-401
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ABSTRACT: In the present work, we propose generalized structure of the $q$-Konhauser polynomial suggested by a generalized $q$-Mittag-Leffler function. For this polynomial, we obtain its difference equation and several other properties involving inequalities are also derived which yield as the particular cases, $q$-analogues of the generating function relations and finite summation formulas.
Key words: $q$-Mittag-Leffler function; $q$-Konhauser Polynomial ; Series inequalities; Difference equation; Generating function relation; Series inequality relations
