2020/10/28 by Hari Mohan Srivastava, Jian Cao, Sama Arjika · 1 citation
Mathematics · #math.CO #math.FA #math.NT #msc:05A30 #msc:11B65 #msc:33D15 #msc:33D45 #msc:33D60 #msc:39A13 #msc:39B32
paper · pdf · doi:10.3390/sym12111816
published as Symmetry 2020, 12, 1816 (2020) · 17 pages
arxiv created 2020/10/28 · arxiv updated 2020/11/03
In this paper, we use two q-operators \mathbbT(a,b,c,d,e,yDx) and 𝔼(a,b,c,d,e,yθx) to derive two potentially useful generalizations of the q-binomial theorem, a set of two extensions of the q-Chu-Vandermonde summation formula and two new generalizations of the Andrews-Askey integral by means of the q-difference equations. We also briefly describe relevant connections of various special cases and consequences of our main results with a number of known results.