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Coefficient Estimates of Some Classes of Analytic Functions

Published online by Cambridge University Press:  20 November 2018

Nicolas Samaris
Nicolas Samaris*
Affiliation:
Department of Mathematics A Chair of Mathematics, University of Patras, Patras-Greece
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Abstract

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We are concerned with coefficient estimates, and other similar problems, of the typically real functions and of the functions with positive real part. Following the stream of ideas in [1], new results and generalizations of others given in [1], [2] and [3] are obtained.

Keywords

30C45
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 26 , Issue 2 , 01 June 1983 , pp. 202 - 208
Copyright
Copyright © Canadian Mathematical Society 1983

References

1. Artémiadis, N., Sur les transformées de Fourier et leurs applications aux séries, Ann. Ecole Normale Supérieure (3) LXXTV-Fasc. 4, 1957.Google Scholar
2. Mandelbrojt, S., Quelques remarques sur les fonctions Univalentes, Bull. Sci. Math. 58 (1934), 185–200.Google Scholar
3. Rogosinski, W. W., Über positive harmonische Entwicklungen und typisch reele Potenzreihen, Math. Z. 35 (1932), 93–121.Google Scholar
4. Schober, G., Univalent Functions, Selected Topics, Lecutre Notes in Math. 478, Springer- Verlag New York 1975.Google Scholar