Now showing items 1-6 of 6

• #### Generalized Hankel determinant for a general subclass of univalent functions ﻿

(Işık University Press, 2018)
Making use of the generalized Hankel determinant, in this work, we consider a general subclass of univalent functions. Moreover, upper bounds are obtained for |a3 − µa2 2|, where µ ∈ R.
• #### New sufficient conditions for starlike and convex functions ﻿

(Işık University Press, 2014)
Let A be the class of analytic functions f(z) in the open unit disc. Applying the subordination, some sufficient conditions for starlikeness and convexity are discussed.
• #### Notes on certain harmonic starlike mappings ﻿

(Işık University Press, 2014)
Complex-valued harmonic functions that are univalent and sense-preserving in the unit disk D can be written in the form f = h + ¯g, where h and g are analytic in D. We give some inequalities for normalized harmonic functions ...
• #### Notes on starlike log-harmonic functions of order α ﻿

For log-harmonic functions f(z) = zh(z)g(z) in the open unit disk U, two subclasses H*LH(?) and G*LH(?) of S*LH(?) consisting of all starlike log-harmonic functions of order ? (0 ? ? &lt; 1) are considered. The object of ...
• #### Some properties concerning close-to-convexity of certain analytic functions ﻿

(Springer International Publishing AG, 2012)
Let f(z) be an analytic function in the open unit disk D normalized with f(0) = 0 and f'(0) = 1. With the help of subordinations, for convex functions f(z) in D, the order of close-to-convexity for f(z) is discussed with ...
• #### Some results on a subclass of harmonic mappings of order alpha ﻿

(Işık University Press, 2014)
Let SH be the class of harmonic mappings defined by SH = { f = h(z) + g(z)| h(z) = z + ∑∞ n=2 anzⁿ, g(z) = b1z + ∑∞ n=2 bnzⁿ, b1 < 1 } where h(z) and g(z) are analytic. Additionally f(z) ∈ SH(α) ⇔ | zh′ (z) − zg′(z) h(z) ...