Geodesic
New classes of generating functions for generalized Bessel functions with satisfy the ordinary differential equation of the $m$-order
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 9 (2012), pp. 561-567

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For generalized Bessel functions which satisfy the ordinary differential equation of the $m$-order of special type new classes of generating functions (associated with Stirling numbers of the second kind) are derived. Relevant connections of this new formulas with those given in earlier works on the subject are also indicated.
Keywords: generalized Bessel functions, generating functions, Stirling numbers. 
@article{SEMR_2012_9_a35,
     author = {M. D. Khriptun},
     title = {New classes of generating functions for generalized {Bessel} functions with satisfy the ordinary differential equation of the $m$-order},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {561--567},
     publisher = {mathdoc},
     volume = {9},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2012_9_a35/}
}
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M. D. Khriptun. New classes of generating functions for generalized Bessel functions with satisfy the ordinary differential equation of the $m$-order. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 9 (2012), pp. 561-567. http://geodesic.mathdoc.fr/item/SEMR_2012_9_a35/