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Comptes Rendus Mathématique
Volume 355, n° 8
pages 876-880 (août 2017)
Doi : 10.1016/j.crma.2017.07.014
Received : 6 June 2017 ;  accepted : 24 July 2017
A note on the coefficient estimates of bi-close-to-convex functions
Une note sur les estimations des coefficients des fonctions bi-presque convexes
 

Zhi-Gang Wang a , Serap Bulut b
a School of Mathematics and Computing Science, Hunan First Normal University, Changsha 410205, Hunan, PR China 
b Faculty of Aviation and Space Sciences, Kocaeli University, Arslanbey Campus, 41285 Kartepe-Kocaeli, Turkey 

Abstract

In a recent paper, Hamidi and Jahangiri [C. R. Acad. Sci. Paris, Ser. I 352 (2014) 17–20] introduced and investigated the class of bi-close-to-convex functions, and determined the estimates for the general Taylor–Maclaurin coefficients of the functions therein. This note mainly aims to point out and correct the errors of the main result in the above-mentioned paper.

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Résumé

Hamidi et Jahangiri [C. R. Acad. Sci. Paris, Ser. I 352 (2014) 17–20] ont introduit et étudié la classe des fonctions bi-presque convexes. Ils majorent les coefficients de Taylor–MacLaurin de ces fonctions bi-presque convexes. Toutefois, la note citée ci-dessus contient des erreurs, que nous mettons en évidence et corrigeons ici.

The full text of this article is available in PDF format.


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