On Certain Subclass of Meromorphic Close-to-Convex Functions

S.P. Goyal; Onkar Singh; Rakesh Kumar

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

[1] V.Anh, k-fold symmetric starlike univalent functions, Bull. Austral. Math. Soc., 32 (1985), 419-436.10.1017/S0004972700002537
Search in Google Scholar
[2] J.Clunie, On meromorphic schlicht functions, J. Lond. Math. Soc., 34 (1959), 215-216.10.1112/jlms/s1-34.2.215
Search in Google Scholar
[3] C.Y.Gao and S.Q.Zhou, On a class of analytic functions related to the starlike functions, Kyungpook Math. J., 45 (2005), 123-130.
Search in Google Scholar
[4] W.Janowski, Some extremal problem for certain families of analytic functions I, Ann. Polon. Math., 28 (1973), 298-326.10.4064/ap-28-3-297-326
Search in Google Scholar
[5] J.Kowalczyk and E.Les Bomba, On a subclass of close-to-convex functions, Appl. Math. Lett., 23 (2010), 1147-1151.10.1016/j.aml.2010.03.004
Search in Google Scholar
[6] M.S.Liu, On a subclass of p-valent close-to-convex functions of order β and type α, J. Math. Study, 30 (1997), 102-104.
Search in Google Scholar
[7] Ch.Pommerenke, On meromorphic starlike functions, Pacific J. Math., 13 (1963), 221-235.10.2140/pjm.1963.13.221
Search in Google Scholar
[8] B.Seker, On certain new subclass of close-to-convex function, Appl. Math. Comput., 218 (2011), 1041-1045.
Search in Google Scholar
[9] Y.J.Sim and O.S.Kwon, A subclass of meromorphic close-to-convex functions of Janowski’s type Int. Jour. Math. Math. Sci. Vol. (2012), Article ID 682162, 12 pages.10.1155/2012/682162
Search in Google Scholar
[10] H.M.Srivastava, D.G.Yang and N.Xu, Some subclasses of meromorphically multivalent functions associated with a linear operator, Appl. Math. Comput., 195 (2008), 11-23.
Search in Google Scholar
[11] Z.G.Wang, Y.Sun and N.Xu, Some properties of certain meromorphic close-toconvex functions, Applied Mathematics Letters, 25 (2012), 454-460.10.1016/j.aml.2011.09.035
Search in Google Scholar

Articles in this issue

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)