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Second Hankel Determinant for certain class of bi-univalent functions defined by Chebyshev polynomials

Autor: Orhan, H., Magesh, N., Balaji, V. K.

Making use of Chebyshev polynomials, we obtain upper bound estimate for the second Hankel determinant of a subclass $\mathcal{N}_{\sigma }^{\mu}\left( \lambda ,t\right) $ of bi-univalent function class $\sigma.$
Comment: 13 pages

Externí odkaz: http://arxiv.org/abs/1705.03313

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Akademický článek

Some Applications of Generalized Alexander Integral Operator.

Autor: Çăglar, M.¹ murat.caglar@erzurum.edu.tr, Orhan, H.² horhan@atauni.edu.tr

Publikováno v: Southeast Asian Bulletin of Mathematics. 2023, Vol. 47 Issue 4, p439-453. 15p.

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Univalence and quasiconformal extension of an integral operator

Autor: Kanas, S., Deniz, E., Orhan, H.

In this paper we give some sufficient conditions of analyticity and univalence for functions defined by an integral operator. Next, we refine the result to a quasiconformal extension criterion with the help of the Becker's method. Further, new unival

Externí odkaz: http://arxiv.org/abs/1607.02098

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Bounds for the second Hankel determinant of certain bi-univalent functions

Autor: Orhan, H., Magesh, N., Yamini, J.

In the present work, we propose to investigate the second Hankel determinant inequalities for certain class of analytic and bi-univalent functions. Some interesting applications of the results presented here are also discussed.
Comment: 8 pages

Externí odkaz: http://arxiv.org/abs/1502.06407

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Initial coefficient bounds for a general class of bi-univalent functions

Autor: Orhan, H., Magesh, N., Balaji, V. K.

Inspired by the recent works of Srivastava et al. (HMS-AKM-PG), Frasin and Aouf (BAF-MKA) and others (Ali-Ravi-Ma-Mina-class,Caglar-Orhan,Goyal-Goswami,Xu-HMS-AML,Xu-HMS-AMC), we propose to investigate the coefficient estimates for a general class of

Externí odkaz: http://arxiv.org/abs/1303.2527

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Initial coefficient bounds for certain classes of Meromorphic bi-univalent functions

Autor: Orhan, H., Magesh, N., Balaji, V. K.

In this paper we extend the concept of bi-univalent to the class of meromorphic functions. We propose to investigate the coefficient estimates for two classes of meromorphic bi-univalent functions. Also, we find estimates on the coefficients |b0| and

Externí odkaz: http://arxiv.org/abs/1303.2504

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