Decomposition of Generalized Mittag-Leffler Function and Its Properties

Jyotindra C. Prajapati, Ajay Kumar Shukla

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DOI: 10.4236/apm.2012.21003                

Abstract

The principal aim of the paper is devoted to the study of some special properties of the E_α,β^γ,q(Z) function for α =1/n . Authors defined the decomposition of the function E_α,β^γ,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 E_α,β^γ,q(Z).

Keywords

Generalized Mittag-Leffler Function; Beta Function; Gamma Function; Integral Representation

Conflicts of Interest

The authors declare no conflicts of interest.

References

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