Communications in Advanced Mathematical Sciences (Sep 2020)

Certain Subclass of Meromorphic Functions with Positive Coefficients Defined by Bessel Function

  • P. Thırupathı Reddy,
  • Rajkumar N. Ingle,
  • Santosh M. Popade,
  • B Venkateswarlu

DOI
https://doi.org/10.33434/cams.725158
Journal volume & issue
Vol. 3, no. 3
pp. 124 – 129

Abstract

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The aim of the present paper is to introduce a class $\Sigma _{p}^{ *}(G,H,\tau, c )$ of meromorphic univalent functions in $E=\{0<|z|<1\}$ and investigate coefficient estimates, distortion properties and radius of convexity estimates for this class. Furthermore, it is shown that this class is closed under convex linear combinations, convolutions and integral transforms.

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