SUBCLASS OF MEROMORPHIC FUNCTIONS WITH POSITIVE COEFFICIENTS INVOLVING POLYLOGARITHM FUNCTION By Santosh M. Popade Department of Mathematics, Sant Tukaram College of Arts & Science, Parbhani - 431 401, Maharastra, India. smpopade2007@gmail.com Rajkumar N. Ingle Department of Mathematics, Bahirji Smarak Mahavidyalay, Bashmathnagar - 431 512, Hingoli Dist., Maharastra, India. Email:ingleraju11@gmail.com P. Thirupathi Reddy Department of Mathematics, Kakatiya University, Warangal- 506 009, Telangana, India. Email:reddypt2@gmail.com (Received : March 19, 2019 ; Revised: April 13, 2020) Abstract In this paper, we introduce and study a new subclass of meromorphic functions with positive coefficients involving the polylogaritham function and obtain coefficient estimates, growth and distortion theorem, radius of convexity, integral transforms, convex linear combinations and convolution properties for the class σ c,p (α, β, λ). 2010 Mathematics Subject Classifications: 30C45 . Keywords and phrases: Meromorphic, Polylogarithm, Coefficient estimates. |
Jñānābha > Volume 50 (No 1-2020) >