id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-3755	Ernst, Thomas	On Various Formulas with q-integralsand Their Applications to q-hypergeometric Functions	2020	19	.pdf	application/pdf	5703	480	92	LHS = Dλ−µ q,z zλ−1 ∞∑ m,n,p=0 〈α; q〉m〈β; q〉n〈γ; q〉p 〈1; q〉m〈1; q〉n〈1; q〉p ambncpzm+n+p  by[9,8.118] = zµ−1 ∑ 〈α; q〉m〈β; q〉n〈γ; q〉p(az)m(bz)n(cz)p 〈1; q〉m〈1; q〉n〈1; q〉p Γq [ λ+m+ n+ p µ+m+ n+ p ] by[9,1.45,1.46] = RHS. (78) The following operator formula is a generalization of (57). All proofs are made in a similar style by using q-integration.	cache/ejpam-3755.pdf	txt/ejpam-3755.txt