A New Result for Hypergeometric Polynomials

碩士 === 淡江大學 === 數學學系 === 92 === The main object of this paper is to continous the study of Kung-Yu Chen and H.M.Srivastava.We use generating function and a few them of complex variables to obtain a new result for hypergeometric polynomials. In 1996, Bavinck made use of the differential op...

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Bibliographic Details
Main Authors: Yi-hung Lin, 林逸鴻
Other Authors: Kung-Yu Chen
Format: Others
Language:zh-TW
Published: 2004
Online Access:http://ndltd.ncl.edu.tw/handle/72940419760110133649
Description
Summary:碩士 === 淡江大學 === 數學學系 === 92 === The main object of this paper is to continous the study of Kung-Yu Chen and H.M.Srivastava.We use generating function and a few them of complex variables to obtain a new result for hypergeometric polynomials. In 1996, Bavinck made use of the differential operator to prove the relationship about Laguerre polynomials.Recently, Kung-Yu Chen and H.M.Srivastava prove a generalization of Hypergeometric Polynomials.By adapting the methods of Kung-Yu Chen and H.M.Srivastava, we obtain a new result for hypergeometric polynomials. The authors first introduce some definitions and properties. The classical hypergeometric polynomials , Laguerre polynomials and Stirling numbers of the second kind are also considered.At last,We use generating function and a few them of complex variables to obtain a new result for hypergeometric polynomials.