In this paper, we consider a subclass SQ of normalized analytic functions f satisfying ℜf′(z)>1/2. For the in class SQ, determine upper bounds for number coefficient estimates, among which are initial coefficients, second Hankel determinant, and Zalcman functional. Upper estimates higher-order Schwarzian derivatives also obtained.

Article history: Received 23 April 2013 Accepted after revision 21 May 2013 Available online 30 May 2013 Presented by the Editorial Board Applying the Faber polynomial coefficient expansions to a class of meromorphic biunivalent functions, we obtain the general coefficient estimates for such functions and also examine their early coefficient bounds. A function univalent in the open unit disk is...

Estimates on the initial coefficients are obtained for normalized analytic functions f in the open unit disk with f and 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 kn...

We give effectivized Hölder-logarithmic energy and regularity dependent stability estimates for the Gel’fand inverse boundary value problem in dimension d = 3. This effectivization includes explicit dependance of the estimates on coefficient norms and related parameters. Our new estimates are given in L and L∞ norms for the coefficient difference and related stability efficiently increases with...