Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function
, e
04 feb 2017
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Categoria dell'articolo: Research Article
Pubblicato online: 04 feb 2017
Pagine: 38 - 50
Ricevuto: 15 apr 2015
Accettato: 25 giu 2015
DOI: https://doi.org/10.7603/s40956-015-0003-8
Parole chiave
© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
In the present paper, we give sufficient conditions for a function f to be in the subclasses ΣS*a,s (A. B, α, β) and ΣKa,s (A, B, α, β) of the class Σ of meromorphic functions which are analytic in the punctured unit disk U*. We further investigate the ratio of a function related to the Hurwitz-Lerch zeta function and its sequence of partial sums.