On new subclasses of meromorphically convex functions with positive coefficients

  • Akanksha S. Shinde VPM's BN Bandodkar College of Science, Thane West - 422 601, Maharashtra, India.
  • Rajkumar N. Ingle Bahirji Smarak Mahavidyalay, Bashmathnagar - 431 512, Hingoli Dist., Maharashtra, India.
  • P. Thirupathi Reddy Kakatiya University, Warangal- 506 009, Telangana, India

Abstract

In this paper we introduce and study a new subclass of meromorphically uniformly convex functions with positive coefficients defined by a bessel 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 $\sigma _{p} (\alpha , \tau ,c).$

Published
2021-08-24