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Upper Bound of Second Hankel Determinant for Bi-Bazilevic̆ Functions

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Abstract

A function is said to be bi-Bazilevic̆ in the open unit disk U if both the function and its inverse are Bazilevic̆ there. Making use of the Hankel determinant, in this work, we obtain coefficient expansions for Bi-Bazilevic̆ functions.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Arts and Science, Uludag University, 16059, Bursa, Turkey

    Şahsene Altınkaya & Sibel Yalçın

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  1. Şahsene Altınkaya
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  2. Sibel Yalçın
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Correspondence to Şahsene Altınkaya.

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Altınkaya, Ş., Yalçın, S. Upper Bound of Second Hankel Determinant for Bi-Bazilevic̆ Functions. Mediterr. J. Math. 13, 4081–4090 (2016). https://doi.org/10.1007/s00009-016-0733-5

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  • DOI: https://doi.org/10.1007/s00009-016-0733-5

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