Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2017; 54(6): 1641-1665

Online first article September 8, 2017      Printed November 1, 2017

https://doi.org/10.4134/JKMS.j160282

Copyright © The Korean Mathematical Society.

Integral means and maximum area integral problems for certain family of $p$-valent functions

Navneet Lal Sharma

Indian Institute of Technology Indore

Abstract

The paper considers $p$-valent functions in the open unit disk. We study the integral means along with the area integral problems for functions belonging to a family of $p$-valent functions.

Keywords: $p$-valent analytic function, $p$-valent starlike and $p$-valent spirallike functions, subordination, integral means, Dirichlet-finite, area integral, and Gaussian hypergeometric functions

MSC numbers: 30C45, 33C05, 30C55