Advances in Pure Mathematics

Volume 2, Issue 1 (January 2012)

ISSN Print: 2160-0368   ISSN Online: 2160-0384

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Decomposition of Generalized Mittag-Leffler Function and Its Properties

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DOI: 10.4236/apm.2012.21003    9,788 Downloads   29,240 Views  Citations

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ABSTRACT

The principal aim of the paper is devoted to the study of some special properties of the Eα,βγ,q(Z) function for α =1/n . Authors defined the decomposition of the function Eα,βγ,q(Z) in the form of truncated power series as Equations (1.7), (1.8) and their various properties including Integral representation, Derivative, Inequalities and their several special cases are obtained. Some new results are also established for the function Eα,βγ,q(Z).

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J. Prajapati and A. Shukla, "Decomposition of Generalized Mittag-Leffler Function and Its Properties," Advances in Pure Mathematics, Vol. 2 No. 1, 2012, pp. 8-14. doi: 10.4236/apm.2012.21003.

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