On a Unification of Generalized Mittag-Leffler Function and Family of Bessel Functions

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References

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[2] G. Mittag-Leffler, “Sur la Nouvelle Fonction Eα(x),” Comptes Rendus de l’Academie des Sciences Paris, Vol. 137, 1903, pp. 554-558.

[3] A. Wiman, “über die Nullstellen der Funktionen Eα(x),” Acta Mathematica, Vol. 29, No. 1, 1905, pp. 217-234.
doi:10.1007/BF02403204

[4] T. R. Prabhakar, “A Singular Equation with a Generalized Mittag-Leffler Function in the Kernel,” Yokohama Mathematical Journal, Vol. 19, 1971, pp. 7-15.

[5] R. Gorenflo, A. A. Kilbas and S. V. Rogosin, “On the Generalized Mittag-Leffler Type Function,” Integral Transforms and Special Functions, Vol. 7, No. 3-4, 1998, pp. 215-224. doi:10.1080/10652469808819200

[6] M. Saigo and A. A. Kilbas, “On Mittag Leffler Type Function and Applications,” Integral Transforms and Special Functions, Vol. 7, No. 1-2, 1998, pp. 97-112.
doi:10.1080/10652469808819189

[7] T. O. Salim, “Some Properties Relating to the Generalized Mittag-Leffler Function,” Advances in Applied Mathematical Analysis, Vol. 4, No. 1, 2009, pp. 21-30.

[8] H. J. Haubold, A. M. Mathai and R. K. Saxena, “The H-Function: Theory and Applications,” Publication No. 37 of Centre for Mathematical Sciences, Pala Campus, 2008.

[9] Y. L. Luke, “The Special Functions and their approximations,” Academic Press, New York, London, 1969.

[10] I. N. Sneddon, “The Use of Integral Transforms,” McGraw-Hill Book Company, New York, 1972.

[11] E. D. Rainville, “Special Functions,” Macmillan Co., New York, 1960.

[12] H. M. Srivastava and H. L. Manocha, “A Treatise on Generating Functions,” Ellis Horwood Ltd., Chichester, 1984.