Известия Иркутского государственного университета: Серия "Математика" (Sep 2020)

Notes on Meromorphic Functions with Positive Coefficients Involving Polylogarithm Function

  • G. Swapna,
  • B. Venkateswarlu,
  • P. Thirupathi Reddy

DOI
https://doi.org/10.26516/1997-7670.2020.33.51
Journal volume & issue
Vol. 33, no. 1
pp. 51 – 63

Abstract

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In this paper, we introduce and study a new subclass of meromorphic functions with positive coefficients involving the polylogarithm function and obtain coefficient estimates, growth and distortion theorem, radius of convexity, integral transforms, convex linear combinations and convolution properties for the class~ $\sigma_{c,p}(\alpha, \lambda ).$

Keywords