Journal of the Ramanujan Mathematical Society

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

A Note on The Location of Critical Points of Quintic Polynomials


Affiliations
1 Department of Mathematics, Mangalore University, Mangalagangotri, 574199, India
     

   Subscribe/Renew Journal


Let P (z) = (z— α) Π (z -zi) be a polynomial having all its zeros in the disk |z| < 1. In this note a new proof is given to the fact that P(z) has at least one critical point in the disk |z-α/2| < 1- |α |/2.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 208

PDF Views: 0




  • A Note on The Location of Critical Points of Quintic Polynomials

Abstract Views: 208  |  PDF Views: 0

Authors

Sampath Kumar
Department of Mathematics, Mangalore University, Mangalagangotri, 574199, India
B. G. Shenoy
Department of Mathematics, Mangalore University, Mangalagangotri, 574199, India

Abstract


Let P (z) = (z— α) Π (z -zi) be a polynomial having all its zeros in the disk |z| < 1. In this note a new proof is given to the fact that P(z) has at least one critical point in the disk |z-α/2| < 1- |α |/2.