On Certain Subclass of Meromorphic Close-to-Convex Functions

Goyal, S.P.; Singh, Onkar; Kumar, Rakesh

doi:10.2478/jamsi-2013-0003

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On Certain Subclass of Meromorphic Close-to-Convex Functions

Journal of Applied Mathematics, Statistics and Informatics

Volume 9 (2013): Issue 1 (May 2013)

By: S.P. Goyal, Onkar Singh and Rakesh Kumar

Open Access

|Aug 2013

Abstract

In this paper we introduce and investigate a certain subclass of functions which are analytic in the punctured unit disk and meromorphically close-to-convex. The sub-ordination property, inclusion relationship, coefficient inequalities, distortion theorem and a sufficient condition for our subclass of functions are derived. The results presented here would provide extensions of those given in earlier works.

References

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DOI: https://doi.org/10.2478/jamsi-2013-0003 | Journal eISSN: 1339-0015 | Journal ISSN: 1336-9180

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Language: English

Page range: 27 - 36

Published on: Aug 24, 2013

Published by: University of Ss. Cyril and Methodius in Trnava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Analytic functions,

Meromorphic starlike function,

Meromorphic close-to-convex functions,

Coefficient estimates,

Subordinations,

Distortion theorem

Related subjects:

Computer sciences,

Information technology,

Mathematics,

Logic and set theory,

Probability and statistics,

Applied mathematics

© 2013 S.P. Goyal, Onkar Singh, Rakesh Kumar, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons License.

Volume 9 (2013): Issue 1 (May 2013)