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Estimate for initial MacLaurin coefficients of certain subclasses of bi-univalent functions of complex order associated with the Hohlov operator

Gangadharan Murugusundaramoorthy

Murugusundaramoorthy, Gangadharan

et

Teodor Bulboacă

Bulboacă, Teodor

23 févr. 2019

Estimate for initial MacLaurin coefficients of certain subclasses of bi-univalent functions of complex order associated with the Hohlov operator's Cover Image

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

Édition 17 (2018): Edition 1 (Décembre 2018)

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Publié en ligne: 23 févr. 2019

Pages: 27 - 36

Reçu: 30 oct. 2017

Accepté: 14 févr. 2018

DOI: https://doi.org/10.2478/aupcsm-2018-0003

Mots clés
and phrases: analytic functions, univalent functions, bi-univalent functions, bistarlike and bi-convex functions, Hohlov operator, Gaussian hypergeometric function, Dziok-Srivastava operator

© 2018 Gangadharan Murugusundaramoorthy et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper, we define a new subclass of bi-univalent functions involving a Hohlov operator in the open unit disk. For functions belonging to this class, we obtain estimates on the first two Taylor-Maclaurin coefficients |a₂| and |a₃|.

Langue:: Anglais

Périodicité:: 1 fois par an
Sujets de la revue:: Mathématiques, Mathématiques générales

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