id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-3424	Corcino, Roberto Bagsarsa; Corcino, Cristina Bordaje; Rama, Gladys Jane	Some Theorems on Tauber's Generalized Stirling, Lah and Bell Numbers	2019	13	.pdf	application/pdf	3432	198	81	Tauber’s generalized Stirling numbers of the first and second kind satisfy the following orthogonality relation for a given sequence of polynomials Qk(x, n), n∑ m=s C m k,nD s k,m = n∑ m=s D m k,nC s k,m = δsn = { 0, if n 6= s 1, if n = s where k = 1, 2. R. Corcino, C. Corcino, G. Rama / Eur. (28) Substitute (28) into (4), then Qk(x, n) = n∑ m=0 C m k,nx m = n∑ m=0 C m k,n m∑ s=0 D s k,mQk(x, s) = n∑ m=0 m∑ s=0 C m k,nD s k,mQk(x, s) = n∑ s=0 { n∑ m=s C m k,nD s k,m } Qk(x, s).	cache/ejpam-3424.pdf	txt/ejpam-3424.txt