A New Result for Hypergeometric Polynomials

• 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

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.