1 |
A. Wawrzynczyk, Group Representation and Special Functions, PWN-Polish Scientific Publ., Warszawa, 1984.
|
2 |
L. Weisner, Group-theoretic origin of certain generating functions, Pacific J. Math. 5 (1955), 1033-1039.
DOI
|
3 |
G. Dattoli, Hermite-Bessel and Laguerre-Bessel functions: a by-product of the monomiality principle, Advanced special functions and applications, (Melfi, 1999), 147-164, Proc. Melfi Sch. Adv. Top. Math. Phys. 1, Aracne, Rome 2000.
|
4 |
S. Khan, Harmonic oscillator group and Laguerre 2D polynomials, Rep. Math. Phys. 52 (2003), 227-233.
DOI
ScienceOn
|
5 |
N. Ja. Vilenkin, Special Functions and the Theory of Group Representations, Amer. Math. Soc. Trans. Providence, Rhode Island, 1968.
|
6 |
S. Khan and M. A. Pathan, Lie theoretic generating relations of Hermite 2D polynomials, J. Comput. Appl. Math. 160(2003), no. 1-2, 139-146.
DOI
ScienceOn
|
7 |
S. Khan, G. Yasmeen, and A. Mittal, Representation of Lie algebra and 2-variable 2-parameter Bessel functions, J. Math. Anal. Appl. 326 (2007), no. 1, 500-510.
DOI
ScienceOn
|
8 |
W. Jr. Miller, Lie Theory and Special Functions, Academic Press, New York and London, 1968.
|
9 |
E. D. Rainville, Special Functions, Macmillan, Reprinted by Chelsea Publ. Co., Bronx, New York, 1971.
|
10 |
H. M. Srivastava and H. L. Manocha, A Treatise on Generating Functions, Ellis Horwood Limited, Chichester, 1984.
|
11 |
G. Dattoli, A. Torre, S. Lorenzutta, G. Maino, and C. Chiccoli, Theory of generalized Bessel functions. II, Nuovo Cimento B (11) 106 (1991), no. 1, 21-51.
DOI
|
12 |
L. C. Andrews, Special Functions for Engineers and Applied Mathematician, Macmillan Company, New York, 1985.
|
13 |
G. Dattoli, M. Migliorati, and H. M. Srivastava, Some families of generating functions for the Bessel and related functions, Georgian Math. J. 11 (2004), no. 2, 219-228.
|
14 |
L. Weisner, Generating functions for Hermite functions, Canad. J. Math. 11 (1959), 141-147.
DOI
|
15 |
L. Weisner, Generating functions for Bessel functions, Canad. J. Math. 11 (1959), 148-155.
DOI
|
16 |
G. Dattoli and A. Torre, Theory and Applications of Generalized Bessel Functions, ARACNE, Rome, Italy, 1996.
|
17 |
S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, New York, 1962.
|