Authors: S. Sunil Varma; Thomas Rosy
Addresses: Department of Mathematics, Madras Christian College, Tambaram, Chennai – 600059, Tamil Nadu, India ' Department of Mathematics, Madras Christian College, Tambaram, Chennai – 600059, Tamil Nadu, India
Abstract: In this paper, we consider normalised analytic functions defined on the unit disk in the complex plane with fixed second coefficient in its Taylor series. By giving different bounds on coefficients of higher powers in the series, we find the radius of the largest disk inside the unit disk for which these functions belong to Pascu type alpha-convex class and a more generalised class.
Keywords: fixed second coefficient; subordination.
International Journal of Computer Aided Engineering and Technology, 2018 Vol.10 No.5, pp.609 - 620
Received: 22 Apr 2016
Accepted: 25 Nov 2016
Published online: 11 Jun 2018 *