On the derivation of new families of generating functions involving ordinary Bessel functions and Bessel-Hermite functions

It is shown that new families of generating functions involving standard and non-standard forms of Bessel functions can be obtained by means of a fairly simple formalism employing operational methods.

[1]  A. W. Kemp,et al.  A treatise on generating functions , 1984 .

[2]  Giuseppe Dattoli,et al.  A note on truncated polynomials , 2003, Appl. Math. Comput..

[3]  P. Appell,et al.  Fonctions hypergéométriques et hypersphériques : polynomes d'Hermite , 1926 .

[4]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.