Some identities for the generalized Laguerre polynomials

Volume 9, Issue 5, pp 3388--3396 http://dx.doi.org/10.22436/jnsa.009.05.124

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Authors

Wen-Kai Shao - Department of Mathematical Teaching and Research, Yibin Vocational & Technical College, 644003 Yibin, Sichuan, P. R. China. Yuan He - Faculty of Science, Kunming University of Science and Technology, 650500 Kunming, Yunnan, P. R. China. Jing Pan - Faculty of Science, Kunming University of Science and Technology, 650500 Kunming, Yunnan, P. R. China.

Abstract

In this paper, we perform a further investigation for the generalized Laguerre polynomials. By applying the generating function methods and Padé approximation techniques, we establish some new identities for the generalized Laguerre polynomials, and give some illustrative special cases as well as immediate consequences of the main results.

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Keywords

• Generalized Laguerre polynomials
• Padé approximation
• combinatorial identities.

MSC

•  11B83
•  42C05
•  41A21
•  05A19.

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