• T. JOTHI LATHA
• S. Cynthiya Margaret Indrani

In this chapter we estimates on the initial coefficients are obtained for normalized analytic functions f in the open unit disk with its inverse 𝑔 = f ⁻¹ satisfying the conditions that (zf^' (z))⁄(f(z)) and (zg^' (z))⁄(g(z)) are both subordinate to a starlike univalent function whose range is symmetric with respect to the real axis. Several related classes of functions are also considered, and connections to earlier known results are made.

𝕌 ={ z ∈ ℂ : |z| < 1 }, The open unit disc, 𝒜={ f : 𝕌 → ℂ ; f is analytic with f (0) = 0, f ′ (0) = 1 } , 𝒮={ f ∈ 𝒜 ; f is Univalent in 𝕌 },S^*= { f ∈ 𝒮 ; f is starlike with respect to origin },𝒞 ={ f ∈ 𝒮 ; f is convex in 𝕌 },K ={ f ∈ 𝒮 ; f is close-to-convex in 𝕌 }, P={φ : 𝕌 → ℂ ; 𝜑 is analytic with Re ( 𝜑(z)) > 0, 𝜑 (0) =1 }, 𝑓≺ 𝑔 =𝑓 is subordinate to 𝑔.

"COEFFICIENT ESTIMATES FOR BI-UNIVALENT MA-MINDA STARLIKE AND CONVEX FUNCTIONS ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.68-74, June-2019, Available :http://www.jetir.org/papers/JETIR1906B10.pdf

"COEFFICIENT ESTIMATES FOR BI-UNIVALENT MA-MINDA STARLIKE AND CONVEX FUNCTIONS ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp68-74, June-2019, Available at : http://www.jetir.org/papers/JETIR1906B10.pdf