Comptes Rendus
no. 5
Complex analysis
Coefficient estimates and integral mean estimates for certain classes of analytic functions

Presented by: the Editorial Board

Md Firoz Ali1; Allu Vasudevarao2
1 Department of Mathematics, National Institute of Technology Calicut, Calicut-673601, Kerala, India
2 School of Basic Sciences, Indian Institute of Technology Bhubaneswar, Argul, Bhubaneswar, PIN-752050, Odisha, India
Comptes Rendus. Mathématique, Volume 357 (2019) no. 5, pp. 436-442.

In this article, we consider a class of functions that are subordinate to certain convex functions in one direction and determine the closed convex hull and its extreme points for functions in this class. Using these results, we solve two extremal problems, namely, coefficient estimates and Lp mean estimates for functions in this class.

Nous considérons dans cette Note une classe de fonctions subordonnées à certaines fonctions convexes dans une direction, dont nous déterminons l'enveloppe convexe fermée et les points extrêmes. À l'aide de ces résultats, nous résolvons deux problèmes extrémaux, à savoir des estimations de coefficients et des estimations de moyenne Lp pour les fonctions de cette classe.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2019.04.013

Md Firoz Ali 1; Allu Vasudevarao 2

1 Department of Mathematics, National Institute of Technology Calicut, Calicut-673601, Kerala, India
2 School of Basic Sciences, Indian Institute of Technology Bhubaneswar, Argul, Bhubaneswar, PIN-752050, Odisha, India 
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Md Firoz Ali; Allu Vasudevarao. Coefficient estimates and integral mean estimates for certain classes of analytic functions. Comptes Rendus. Mathématique, Volume 357 (2019) no. 5, pp. 436-442. doi : 10.1016/j.crma.2019.04.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2019.04.013/

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