Abstract

In studying the behaviour of series defined by means of the Le Roy type functions, we prove Cauchy–Hadamard type theorems. Asymptotic formulae for these new special functions in the cases of `large' values of indices are also provided, as necessary in the proofs of the convergence theorems for the considered series in the complex plane.

Citation details of the article

Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 33
Issue: 6
Year: 2020

DOI: 10.12732/ijam.v33i6.3

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