The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

On the Radius of Univalence and Starlikeness for Certain Analytic Functions


Affiliations
1 Department of Mathematics, Andhra University, Waltair, India
     

   Subscribe/Renew Journal


Throughout this paper we assume that

(1) f(z) = z + a2z2 + is analytic for ¦z¦ < 1 and

(2) g(z) = z + b2z2 + is analytic and univalent for ¦z¦ < 1. Recently T. H. MacGregor [4] determined the radius of univalence of functionsf(z) satisfying ¦f(z)¦g(z) - 1 ] < 1, for ¦ z ¦ < 1.


Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 200

PDF Views: 0




  • On the Radius of Univalence and Starlikeness for Certain Analytic Functions

Abstract Views: 200  |  PDF Views: 0

Authors

K. S. Padmanabhan
Department of Mathematics, Andhra University, Waltair, India

Abstract


Throughout this paper we assume that

(1) f(z) = z + a2z2 + is analytic for ¦z¦ < 1 and

(2) g(z) = z + b2z2 + is analytic and univalent for ¦z¦ < 1. Recently T. H. MacGregor [4] determined the radius of univalence of functionsf(z) satisfying ¦f(z)¦g(z) - 1 ] < 1, for ¦ z ¦ < 1.