On a subclass meromorphic functions with positive coefficients
Downloads
Abstract
In this paper we introduce and study a new subclass of meromorphically convex functions with positive coefficients defined by a differential operator and obtain coefficient estimates, growth and distortion theorem, radius of convexity, integral transforms, convex linear combinations, convolution properties and $\delta$-neighborhoods for the class $\sigma_p(\alpha)$
Keywords:
Meromorphic, convex, starlike, coefficient estimatesMathematics Subject Classification:
Mathematics- Pages: 850-854
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
O.P.Ahuja, G. Murugusundaramurthy and N. Magesh, Integral means for uniformly convex and starlike functions associated with generalized hypergeometric functions, J. Inequal. Pure Appl. Math., 8(4) (2008), 118 -127.
R. Bharathi, R. Parvatham and A. Swaminathan, On subclasses of uniformly convex functions and corresponding class of starlike functions, Tamkang J. Maths., 28(1) (1997), 17-32.
J. Clunie, On meromorphic schlicht functions, J. London Math. Soc., 34 (1959), 215-216.
A.W.Goodman, Univalent functions and non-analytic curves, Proc. Amer. Math. Soc., 8 (1957), 598-601.
A.W. Goodman, On uniformly convex functions, Ann. Pol. Math., 56 (1991), 87-92.
A. W. Goodman, On Uniformly starlike functions, J. of Math. Anal. And Appl., 155 (1991), 364-370 .
O.P.Juneja and T. R. Reddy, Meromorphic starlike univalent functions with positive coefficients, Ann. Univ. Maiiae Curie Sklodowska - Sect. A, 39 (1985), 65-76.
S.Kanas and A. Wisniowska, Conic regions and kuniform convexity, Comput. Appl. Math., 105 (1999), 327-336.
S.Kanas and A. Wisniowska, Conic domains and starlike functions, Rev. Roum. Math. Pures Appl., 45 (2000), 647-657.
G. Murugusundarmurthy and N. Magesh, Certain subclasses of starlike functions of complex order involving generalised hypergeometric functions, Int. J. Math. Math. Sci., Article ID 178605 (2010), 12 pages.
Ch.Pommerenke, On meromorphic starlike functions, Pacfic J. Math., 13 (1963), 221-235.
F.Ronning, On starlike functions associated with parabolic regions, Ann. Univ. Mariae Curie-SklodowskaSect. A, 45 (1991), 117-122.
F. Ronning, Uniformly convex functions and a corresponing class of starlike functions, Proc. Amer. Math. Soc., 118 (1993), 189-196.
F. Ronning, Integral representions of bounded starlike functions, Ann. Pol. Math, 60(3) (1995), 298-297.
W. C. Royster, Meromorphic starlike multivalent functions, Trans. Amer. Math. Soc., 107 (1963), 300-308.
St. Ruscheweyh, Neighbourhoods of univalent functions, Proc. Amer. Math. Soc., 81 (1981), 521-527.
$mathrm{H}$. Silverman, Univalent functions with negative coefficients, Proc. Amer. Math. Soc., 51 (1975), 109-116.
Similar Articles
- K. Lal Gipson, Arun Williams. S, 2-Edge dominating sets and 2-Edge domination polynomials of paths , Malaya Journal of Matematik: Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.
