Email this article On the Mutual Change of the Coefficients and Values of the Derivative in a Class of Regular Functions
- Authors: Goluzina E.G.1
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Affiliations:
- St.Petersburg Department of the Steklov Mathematical Institute
- Issue: Vol 232, No 6 (2018)
- Pages: 768-773
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241428
- DOI: https://doi.org/10.1007/s10958-018-3906-x
- ID: 241428
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Abstract
Let T be the class of functions \( f(z)=z+\sum \limits_{n=2}^{\infty }{c}_n{z}^n \) regular and typically real in the disk |z| < 1. Sharp estimates for the coefficients c4 and c5 in terms of f′(r) are obtained.
About the authors
E. G. Goluzina
St.Petersburg Department of the Steklov Mathematical Institute
Author for correspondence.
Email: goluzina@pdmi.ras.ru
Russian Federation, St.Petersburg
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