Coefficient bounds for a subclass of $m$ - fold symmetric bi-univalent functions with Chebyshev polynomial -by G.Thirupathi

# Coefficient bounds for a subclass of $m$ - fold symmetric bi-univalent functions with Chebyshev polynomial-by G.Thirupathi

Abstract: In this paper, we introduce two new subclasses of $\Sigma _{m}$ consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disk $\mathbb{U}$. Furthermore, we establish bounds for the coefficients for these subclasses.

Keywords: Starlike and convex functions, Chebyshev polynomials, $m$-fold symmetric functions, coefficient bounds.

G.Thirupathi, Coefficient bounds for a subclass of $m$ - fold symmetric bi-univalent functions with Chebyshev polynomial, International Journal of Advances in Mathematics, Volume 2018, Number 6, Pages 27-34, 2018.