Orthogonality relations and generating functions for the generalized Bessel polynomials

1994 ◽  
Vol 61 (2-3) ◽  
pp. 99-134 ◽  
Author(s):  
H.M. Srivastava
Keyword(s):  
Generating Functions ◽  
Bessel Polynomials ◽  
Orthogonality Relations

Some Generating Functions for the Generalized Bessel Polynomials

1992 ◽  
Vol 87 (4) ◽  
pp. 351-366 ◽  
Author(s):  
Ming-Po Chen ◽  
Chia-Chin Feng ◽  
H. M. Srivastava
Keyword(s):  
Generating Functions ◽  
Bessel Polynomials

scholarly journals Some generating functions of modified Bessel polynomials from the view point of Lie group

1984 ◽  
Vol 7 (4) ◽  
pp. 823-825 ◽  
Author(s):  
Asit Kumar Chongdar
Keyword(s):  
Lie Group ◽  
Generating Functions ◽  
View Point ◽  
Bessel Polynomials

In this paper we have derived a class of bilateral generating relation for modified Bessel polynomials from the view point of Lie group. An application of our theorem is also pointed out.

scholarly journals q-Hermite Polynomials and Classical Orthogonal Polynomials

1996 ◽  
Vol 48 (1) ◽  
pp. 43-63 ◽  
Author(s):  
Christian Berg ◽  
Mourad E. H. Ismail
Keyword(s):  
Weight Function ◽  
Generating Functions ◽  
Jacobi Polynomials ◽  
Hermite Polynomials ◽  
Rational Functions ◽  
Classical Orthogonal Polynomials ◽  
Beta Integral ◽  
Orthogonality Relations ◽  
Beta Integrals ◽  
Wilson Polynomials

AbstractWe use generating functions to express orthogonality relations in the form of q-beta. integrals. The integrand of such a q-beta. integral is then used as a weight function for a new set of orthogonal or biorthogonal functions. This method is applied to the continuous q-Hermite polynomials, the Al-Salam-Carlitz polynomials, and the polynomials of Szegö and leads naturally to the Al-Salam-Chihara polynomials then to the Askey-Wilson polynomials, the big q-Jacobi polynomials and the biorthogonal rational functions of Al-Salam and Verma, and some recent biorthogonal functions of Al-Salam and Ismail.

Generating Functions for Bessel and Related Polynomials

1953 ◽  
Vol 5 ◽  
pp. 104-106 ◽  
Author(s):  
E. D. Rainville
Keyword(s):  
Generating Functions ◽  
Bessel Polynomials ◽  
Image Position

Krall and Frink [4] aroused interest in what they term Bessel polynomials. They studied in some detail what may, in hypergeometric form, be written as

Sign in / Sign up

Export Citation Format

Share Document