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Coefficient bounds for new subclasses of bi-univalent functions

Cağlar Murat (Department of Mathematics, Faculty of Science, Ataturk University, Erzurum, Turkey)
Orhan Halit (Department of Mathematics, Faculty of Science, Ataturk University, Erzurum, Turkey)
Yağmur Nihat (Department of Mathematics, Faculty of Science and Arts, Erzincan University, Erzincan, Turkey)

In the present investigation, we consider two new subclasses NΣμ (α, λ) and NΣμ (β, λ) of bi­univalent functions defined in the open unit disk u = {z : |z| < 1}. Besides, we find upper bounds for the second and third coefficients for functions in these new subclasses.

Keywords: Analytic and univalent function, bi-univalent function, coefficient bounds