Journal of the Ramanujan Mathematical Society

K. Ramachandra ¹

Affiliations
1 School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay-400 005, IN

Abstract

The theorem in the title (see p.174 of [7]) is the following one.

Theorem 1: if f(z') is analytic in |z| ≤ 1 and f(0) = 0 ,

Then

|f(z)| ≤ 2(2A(f)) |z|/1-|z|.........(1)

Keywords

Borel - Caratheodory Theorem, Maximum Modulus Principle.

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K. Ramachandra

Abstract

This valuable book embodies the Proceedings of The Ramanujan Centenary Conference held in the University of Illinois at Urbana-Champaign during June 1st to 5th, 1987. As many as one hundred and twenty-five distinguished mathematicians from all over the world participated in the conference.

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