Certain subclass of polylogarithm functions defined by a generalized differential operator

Authors

  • N. Rani PRIME College, India
  • P.T. Reddy Kakatiya University, India
  • B. Venkateswarlu GITAM University, Bengaluru North, India

DOI:

https://doi.org/10.31926/but.mif.2020.13.62.1.20

Keywords:

polylogarithm function, coefficient estimates, extreme points, radius of starlikeness

Abstract

In this paper, we define a new subclass of polylogarithm functions and obtained coefficient estimates, growth and distortion theorems, extreme points, radii of starlikeness, convexity and close to convexity for the class TSλm(γ; α; k; β): Furthermore, we obtained the Fekete-Szego problem for the class also.

Author Biographies

N. Rani, PRIME College, India

Department of Mathematics, Modavalasa - 534 002, Visakhapatnam, A. P.

P.T. Reddy, Kakatiya University, India

Department of Mathematics, Warangal- 506 009, Telangana

B. Venkateswarlu, GITAM University, Bengaluru North, India

Department of Mathematics, Doddaballapur-562163

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Published

2020-07-22

Issue

Vol. 13(62) No. 1 (2020)

Section

MATHEMATICS