On boundary homeomorphisms of trans-quasiconformal maps of the disk.
On bounded boundary and bounded radius rotations.
On bounded univalent functions that omit two given values
Let a,b ∈ z: 0<|z|<1 and let S(a,b) be the class of all univalent functions f that map the unit disk into {a,bwith f(0)=0. We study the problem of maximizing |f’(0)| among all f ∈ S(a,b). Using the method of extremal metric we show that there exists a unique extremal function which maps onto a simply connnected domain bounded by the union of the closures of the critical trajectories of a certain quadratic differential. If a<0
On certain analytic univalent functions.
On certain Bazilević functions of order .
On certain classes of analytic functions.
On certain classes of analytic functions
On certain classes of analytic functions
On certain classes of analytic functions defined by means of a linear operator.
On certain classes of close-to-convex functions.
On certain classes of meromorphic functions involving integral operators.
On certain classes of meromorphically starlike functions.
On certain classes of multivalent analytic functions.
On certain classes of -valent analytic functions.
On certain classes of -valent functions
On certain classes of -valent functions by using complex-order and differential subordination.
On certain classes of p-valent functions.
On certain coefficient bounds for multivalent functions
In the present paper, the authors obtain sharp upper bounds for certain coefficient inequalities for linear combination of Mocanu α-convex p-valent functions. Sharp bounds for [...] and [...] are derived for multivalent functions.
On certain general integral operators of analytic functions
In this paper, we obtain new sufficient conditions for the operators Fα1,α2,…,αn,β(z) and Gα1,α2,…,αn,β(z) to be univalent in the open unit disc U, where the functions f1, f2, …, fn belong to the classes S*(a, b) and K(a, b). The order of convexity for the operators Fα1,α2,…,αn,β(z) and Gα1,α2,…,αn,β(z) is also determined. Furthermore, and for β = 1, we obtain sufficient conditions for the operators Fn(z) and Gn(z) to be in the class K(a, b). Several corollaries and consequences of the main results...
On certain generalized class of non-Bazilevich functions.