An extension of bilateral generating functions of modified Laguerre polynomials

1991 ◽  
Vol 101 (1) ◽  
pp. 43-47 ◽  
Author(s):  
R Sharma ◽  
A K Chongdar
Keyword(s):  
Generating Functions ◽  
Laguerre Polynomials ◽  
Bilateral Generating Functions ◽  
Modified Laguerre Polynomials

Some generating functions of the Laguerre and modified Laguerre polynomials

2000 ◽  
Vol 113 (2-3) ◽  
pp. 141-160 ◽  
Author(s):  
Giovanna Pittaluga ◽  
Laura Sacripante ◽  
H.M. Srivastava
Keyword(s):  
Generating Functions ◽  
Laguerre Polynomials ◽  
Modified Laguerre Polynomials

scholarly journals Some bilateral generating functions involving the Erkus-Srivastava polynomials and some general classes of multivariable polynomials

2014 ◽  
Vol 45 (4) ◽  
pp. 341-356 ◽  
Author(s):  
Sébastien Gaboury ◽  
Richard Tremblay ◽  
Mehmet Ali Özarslan
Keyword(s):  
Generating Function ◽  
Generating Functions ◽  
Computer Modelling ◽  
Laguerre Polynomials ◽  
Contour Integral ◽  
Special Cases ◽  
Biorthogonal Polynomials ◽  
Lauricella Function ◽  
Bilateral Generating Functions ◽  
Fox’S H Function

Recently, Liu et al. [Bilateral generating functions for the Erkucs-Srivastava polynomials and the generalized Lauricella function, Appl.Math.Comput.218 (2012),pp.7685-7693 investigated some various families of bilateral generating functions involving the Erkucs Srivastava polynomials. The aim of this present paper is to obtain some bilateral generating functions involving the Erkucs-Srivastava polynomials and three general classes of multivariable polynomials introduced earlier by Srivastava in A contour integral involving Fox's H-function, Indian J.Math.14 (1972), pp.1-6, A multilinear generating function for the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials, Pacific J.Math.117 (1985), pp.183-191] and by Kaanouglu and Ozarslan in Two-sided generating functions for certain class of r-variable polynomials, Mathematical and Computer Modelling 54 (2011), pp.625-631. Special cases involving the (Srivastava-Daoust) generalized Lauricella functions are also given.

scholarly journals Bilateral Generating Functions Involving Generalized Hypergeometric Polynomials of Two Variables

2017 ◽  
Vol 10 (12) ◽  
pp. 1-5
Author(s):  
P. L. Rama Kameswari ◽  
P. L. Rama Kameswari ◽  
V. S. Bhagavan ◽  
◽  
◽  
...  
Keyword(s):  
Generating Functions ◽  
Hypergeometric Polynomials ◽  
Bilateral Generating Functions

Bilateral generating functions involving Jacobi polynomials

1969 ◽  
Vol 66 (1) ◽  
pp. 105-107 ◽  
Author(s):  
H. L. Manocha
Keyword(s):  
Generating Functions ◽  
Jacobi Polynomial ◽  
Jacobi Polynomials ◽  
Image Position ◽  
Bilateral Generating Functions

In paper(1) it has been proved thatwhere the Jacobi polynomial is denned as ((3), p. 255)

Sign in / Sign up

Export Citation Format

Share Document