Note on modified generalized Bessel function

Author:

Patel Farhatbanu H.,Jana R. K.,Shukla A. K.

Abstract

An attempt is made to define Modified Generalized Bessel Function, and Modified Generalized Bessel Matrix Function. Some properties have also been discussed.

Publisher

Universidad Catolica del Norte - Chile

Subject

General Mathematics

Reference11 articles.

1. [1] R. S. Batahan and M. S. Metwally, "Differential and Integral Operators on Appell's Matrix Function", Alandalus Journal of Social and Applied Sciences, vol. 2008, no. 2, pp. 7-25, 2023.

2. [2] L. Galue, "A Generalized Bessel Function", Integral Transforms and Special Functions, vol. 14, no. 5, pp. 395-401, 2003.

3. [3] R. Gorenflo, A. A. Kilbas, F. Mainardi and S. V. Rogosin, Mittage-Leffler Functions, Related Topics and Applications. Springer Monographs in Mathematics. New York: Springer, 2004.

4. [4] L. Jódar, R. Company and E. Navarro, "Bessel matrix functions, explicit solution of coupled Bessel type equations", Utilitas Mathematica, vol. 46, pp. 129-141, 1994.

5. [5] L. Jódar and J. C. Cortés, On the Hypergeometric Matrix Function", Journal of Computational and Applied Mathematics, vol 99, nos. 1-2, pp. 205-217, 1998. doi: 10.1016/S0377-0427(98)00158-7

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