Bilateral generating functions for the Erku艧-Srivastava polynomials and the generalized Lauricella functions

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• 作者：Shuoh-Jung Liu^a ; ^{liusolong@gmail.com} ; Shy-Der Lin^a ; ^{shyder@cycu.edu.tw} ; H.M. Srivastava^b ; ^{harimsri@math.uvic.ca} ; Mu-Ming Wong^a ; ^{mmwong@cycu.edu.tw}
• 关键词：Lagrange polynomials ; Erku艧&ndash ; Srivastava polynomials ; Chan&ndash ; Chyan&ndash ; Srivastava polynomials ; Lauricella functions ; Srivastava&ndash ; Daoust (or generalized Lauricella) functions ; Kampé ; de Fé ; riet function ; Appell&rsquo ; s functions
• 刊名：Applied Mathematics and Computation
• 出版年：2012
• 期刊代码：7_00963003
• 类别：cp
• 出版时间：1 April, 2012
• 卷：218
• 期：15
• 页码：7685-7693
• 文件大小：227 K

摘要

In some recent investigations involving differential operators for the generalized Lagrange polynomials, Chan et al. [W.-C.C. Chan, C.-J. Chyan, H.M. Srivastava, The Lagrange polynomials in several variables, Integral Transforms Spec. Funct. 12 (2001) 139-148] encountered and proved a certain summation identity for the Lagrange polynomials in several variables, which are popularly known in the literature as the Chan-Chyan-Srivastava polynomials. In the present paper, we investigate several families of bilateral generating functions for the Erku艧-Srivastava polynomials (which are more general than the Chan-Chyan-Srivastava polynomials) and the Srivastava-Daoust (or generalized Lauricella) functions.