Upper Bound of H3(1) for Universally Prestarlike Functions Chinthamani S.*, Gangadharan A.**, Muthucumaraswamy R.*** *Research Scholar, Department of Mathematics, Anna University, Chennai, India. chinvicky@rediffmail.com **Professor, Department of Mathematics, Easwari Engineering College, Ramapuram, Chennai, India. ganga.megalai@gmail.com ***Head, Professor, Department of Applied Mathematics, Sri Venkateswara College of Engineering, Sriperumbudur, India. msamy@svce.ac.in Online published on 23 March, 2017. Abstract Universally prestarlike functions of order α ≤ 1 in the slit domain Λ = C \ [1, ∞) have been recently introduced by S. Ruscheweyh. This notion generalizes the corresponding one for functions in the unit disk Δ and other circular domains in C. In this paper, we discuss the upper bound of third Hankel determinant for universally prestarlike functions. Top Keywords Prestarlike functions, universally prestarlike functions, coefficients, second Hankel determinant, third Hankel determinant. Top |