An elementary counterexample to a coefficient conjecture

2022/07/28 by Liulan Li, Li, Liulan, Saminathan Ponnusamy +3
Mathematics · #Meromorphic and Entire Functions #Analytic and geometric function theory #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2207.14148

Abstract

In this article, we consider the family of functions f meromorphic in the unit disk \ID=\z : |z| < 1\ with a pole at the point z=p, a Taylor expansion \[f(z)= z+∑_k=2^∞ a_kz^k, |z|

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