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Commun. Korean Math. Soc. 2011; 26(4): 611-622
Printed December 1, 2011
https://doi.org/10.4134/CKMS.2011.26.4.611
Copyright © The Korean Mathematical Society.
Bilinear and bilateral generating functions of heat type polynomials suggested by Jacobi polynomials
Mumtaz Ahmad Khan, Abdul Hakim Khan, and Manoj Singh
Aligarh Muslim University, Aligarh Muslim University, Aligarh Muslim University
The present paper deals with generalization of several families of bilinear and bilateral generating functions for the heat type polynomials suggested by Jacobi polynomials with different argument.
Keywords: Laguerre polynomials, Rice polynomials, Gauss hypergeometric function, Appell's functions, Kamp${\rm \acute{e}}$ de F${\rm \acute{e}}$riet's double hypergeometric function, Lauricella's functions, Saran's functions
MSC numbers: Primary 42C05; Secondary 33C45
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