id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4441	Kim, Dae San; Kim, Hye Kyung; Kim, Taekyun	Some Identities on λ-analogues of r-Stirling Numbers of the Second Kind	2022	13	.pdf	application/pdf	4476	262	85	= n ∑ k=0 { n+ r k+ r } r,λ (x)k+1,λ + n ∑ k=0 { n+ r k+ r } r,λ (x)k,λ (λk+ r) = n+1 ∑ k=1 { n+ r k−1+ r } r,λ (x)k,λ + n ∑ k=0 (λk+ r) { n+ r k+ r } r,λ (x)k,λ = n+1 ∑ k=0 ({ n+ r k−1+ r } r,λ +(λk+ r) { n+ r k+ r } r,λ ) (x)k,λ . In Section 2, we introduce the λ -analogues of r-Stirling numbers of the second as the coefficients appearing when powers of x+ r are expressed in terms of the degen- erate falling factorial sequence.	cache/ejpam-4441.pdf	txt/ejpam-4441.txt