Results for self-Inversive rational functions

Author:

Qasim Idrees

Abstract

In this paper, we find some relations between maximum modulus of a rational function r(z) satisfying r(z) = B(z)r(1/z) and the maximum modulus of its derivative. We also find analogue of Chon’s Theorem for rational functions.

Publisher

Sociedade Paranaense de Matemática

Reference8 articles.

1. A. Aziz, Inequalities for the polar derivative of polynomial, J. Approx. Theory, 55 (1988), 183-193.

2. A. Aziz and W. M. Shah, Inequalities for the polar derivative of a polynomial, Indian J. Pure Appl. Math., 29(2) (1998), 163-173.

3. S. N. Bernstein, Sur e'ordre de la meilleure approximation des functions continues par des polynomes de degre' donne', Mem. Acad. R. Belg., 4 (1912), 1-103.

4. A. Cohn, Uber die Anzahl der wurzeln einer algebraischen Gleichung in einem Kreise, Math. Z. 14(1922): 110-148

5. M. A. Malik, On the derivative of a polynomial, J. Lond. Math. Soc. 1 (1969), 57-60.

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