Bilateral generating functions for the Chan-Chyan-Srivastava polynomials and the generalized Lauricella functions

作者：Liu Shuoh Jung; Chyan Chuan Jen; Lu Han Chun; Srivastava H M^*

来源：Integral Transforms and Special Functions, 2012, 23(7): 539-549.

DOI：10.1080/10652469.2011.610152

• Lagrange polynomials
• Chan-Chyan-Srivastava polynomials
• Lauricella functions
• (Srivastava-Daoust) generalized Lauricella functions
• Kampe de Feriet function
• Appell%26apos
• s functions
• Erkus-Srivastava polynomials
• Srivastava%26apos
• s theorem
• Riemann-Liouville fractional derivative
• Bilinear, bilateral and mixed multilateral generating functions

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

• 出版日期2012