Abstract

We introduce second Hankel determinant of biunivalent analytic functions associated with λ-pseudo-starlike function in the open unit disc Δ subordinate to a starlike univalent function whose range is symmetric with respect to the real axis.

Highlights

  • Let A be the class of all analytic functions f of the form ∞f (z) = z + ∑anzn, (1)n=2 in the open unit disc Δ = {z : |z| < 1}

  • We introduce second Hankel determinant of biunivalent analytic functions associated with λ-pseudo-starlike function in the open unit disc Δ subordinate to a starlike univalent function whose range is symmetric with respect to the real axis

  • Let P be the family of analytic functions p(z) in Δ such that p(0) = 1 and Rp(z) > 0 (z ∈ Δ) of the form

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Summary

Introduction

We introduce second Hankel determinant of biunivalent analytic functions associated with λ-pseudo-starlike function in the open unit disc Δ subordinate to a starlike univalent function whose range is symmetric with respect to the real axis. Let A be the class of all analytic functions f of the form Let S be the subclass of A consisting of univalent functions.

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