Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 14 (2019), 49 -- 60

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ON NEW SUBCLASS OF MEROMORPHICALLY CONVEX FUNCTIONS WITH POSITIVE COEFFICIENTS

B. Venkateswarlu, P. Thirupathi Reddy and N. Rani

Abstract. In this paper we introduce and study a new subclass of meromorphically uniformly 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 δ-neighborhoods for the class σ p (α).

2010 Mathematics Subject Classification: 30C45.
Keywords: uniformly convex; uniformly starlike; coefficient estimates.

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Bolineni Venkateswarlu
Department of Mathematics, GST, GITAM University,
 Doddaballapur- 561 203, Bengaluru Rural, India.
 e-mail:bvlmaths@gmail.com

Pinninti Thirupathi Reddy
Department of Mathematics, Kakatiya University,
 Warangal- 506 009, Telangana, India.
 e-mail:reddypt2@gmail.com

Nekkanti Rani
 Department of of Sciences and Humanities, PRIME College,
 Modavalasa - 534 002, Visakhapatnam, A. P., India.
 e-mail:raninekkanti1111@gmail.com

http://www.utgjiu.ro/math/sma