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On a recurrence relation of generalized Mittag-Leffler function. (English) Zbl 1197.33021

Summary: The principal aim of this paper is to investigate a recurrence relation and an integral representation of generalized Mittag-Leffler function \(E_{\alpha ,\beta }^{\gamma ,q}(z)\). At the end several special cases are also discussed.

MSC:

33E12 Mittag-Leffler functions and generalizations
33B15 Gamma, beta and polygamma functions
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