Coefficients of Bi-Univalent Functions Involving Pseudo-Starlikeness Associated with Chebyshev Polynomials

Document Type : Original Article

Authors

Ibrahim Awolere ¹

Abiodun Tinuoye Oladipo ²

¹ Department of Mathematics, Emmanuel Alayande College of Education, P. M. B. 1010, Oyo, Oyo State, Nigeria.

² Department of Pure and Applied Mathematics, Ladoke Akintola University of Tecchnology, Ogbomoso, Oyo State, Nigeria.

10.22034/kjm.2019.81231

Abstract

In the present paper, a new subclass of analytic and bi-univalent functions by means of pseudo starlike function, activation function and Chebyshev polynomials are introduced. Coefficient bounds for functions belonging to the said subclass are obtained. Relevance connection of our class to second Hankel determinants is established.

Keywords

Univalent functions

Chebyshev polynomials

pseudo starlike function

Hankel determinant

Subjects

• 30 Functions of a complex variable

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