id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-6961	Chammam, Wathek; Khlifi, Mongia ; Gulistan, Muhammad 	A Chaundy-Bullard Type Identity and its $q$-analogue	2025	9	.pdf	application/pdf	2946	189	83	For n and m nonnegative integers and X = Y = p ∈ N∗ in (12), we have m∑ k=0 n+ 1 (n+ k + 2)(n+ k + 1) + n∑ k=0 m+ 1 (m+ k + 2)(m+ k + 1) the Chaundy–Bullard identity [7–9] defined by (1−X)n+1 m∑ k=0 ( n+ k k ) Xk +Xm+1 n∑ k=0 ( m+ k k ) (1−X)k = 1. (10) The q-analogue of Chaundy–Bullard identity (10) defined in [10] by the equality: m∑ k=0	cache/ejpam-6961.pdf	txt/ejpam-6961.txt