Geodesic
Generalization of the Modified Bessel Function and Its Generating Function
Fractional calculus and applied analysis, Tome 8 (2005) no. 3, pp. 267-276

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This paper presents new generalizations of the modified Bessel function and its generating function. This function has important application in the transient solution of a queueing system.
Keywords: Modified Bessel Function, Generating Function, Wright Function, 33C10, 60K25 
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     author = {Griffiths, J. and Leonenko, G. and Williams, J.},
     title = {Generalization of the {Modified} {Bessel} {Function} and {Its} {Generating} {Function}},
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Griffiths, J.; Leonenko, G.; Williams, J. Generalization of the Modified Bessel Function and Its Generating Function. Fractional calculus and applied analysis, Tome 8 (2005) no. 3, pp. 267-276. http://geodesic.mathdoc.fr/item/FCAA_2005_8_3_a2/