On the connection coefficients and recurrence relations arising from expansions in series of hermite polynomials

2004 ◽  
Vol 15 (1) ◽  
pp. 13-29 ◽  
Author(s):  
E. H. Doha
Keyword(s):  
Recurrence Relations ◽  
Hermite Polynomials ◽  
Connection Coefficients ◽  
In Series

scholarly journals Recurrence relations for exceptional Hermite polynomials

2016 ◽  
Vol 204 ◽  
pp. 1-16 ◽  
Author(s):  
D. Gómez-Ullate ◽  
A. Kasman ◽  
A.B.J. Kuijlaars ◽  
R. Milson
Keyword(s):  
Recurrence Relations ◽  
Hermite Polynomials

scholarly journals Zeros of Gegenbauer and Hermite polynomials and connection coefficients

2004 ◽  
Vol 73 (248) ◽  
pp. 1937-1952 ◽  
Author(s):  
Iván Area ◽  
Dimitar K. Dimitrov ◽  
Eduardo Godoy ◽  
André Ronveaux
Keyword(s):  
Hermite Polynomials ◽  
Connection Coefficients

scholarly journals The Hermite polynomials and the Bessel functions from a general point of view

2003 ◽  
Vol 2003 (57) ◽  
pp. 3633-3642 ◽  
Author(s):  
G. Dattoli ◽  
H. M. Srivastava ◽  
D. Sacchetti
Keyword(s):  
Difference Equations ◽  
Generating Functions ◽  
Recurrence Relations ◽  
Bessel Functions ◽  
Hermite Polynomials ◽  
Point Of View ◽  
General Point ◽  
Ordinary Case

We introduce new families of Hermite polynomials and of Bessel functions from a point of view involving the use of nonexponential generating functions. We study their relevant recurrence relations and show that they satisfy differential-difference equations which are isospectral to those of the ordinary case. We also indicate the usefulness of some of these new families.

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