Über den Zusammenhang von schlichten Funktionen im Banachraum B.
Über die ...-Entropie und ...-Kapazität der Familie der schlichten Funktionen.
Über die Faltung schlichter Funktionen.
Über die Faltung schlichter Funktionen. II.
Über die Koeffizienten spezieller schlichter Polynome
Über die untere Grenze der Rundungsschranken der beschränkten Funktionen f (2), deren f (0) I vorgegeben ist.
Über Funktionen, die den Einheitskreis schlicht abbilden.
Über Funktionen mit der Eigenschaft Re(e...(f(z)/z-ß))...0.
Uniformly convex functions
Recently, A. W. Goodman introduced the geometrically defined class UCV of uniformly convex functions on the unit disk; he established some theorems and raised a number of interesting open problems for this class. We give a number of new results for this class. Our main theorem is a new characterization for the class UCV which enables us to obtain subordination results for the family. These subordination results immediately yield sharp growth, distortion, rotation and covering theorems plus sharp...
Uniformly convex functions II
Recently, A. W. Goodman introduced the class UCV of normalized uniformly convex functions. We present some sharp coefficient bounds for functions f(z) = z + a₂z² + a₃z³ + ... ∈ UCV and their inverses . The series expansion for converges when , where depends on f. The sharp bounds on and all extremal functions were known for n = 2 and 3; the extremal functions consist of a certain function k ∈ UCV and its rotations. We obtain the sharp bounds on and all extremal functions for n = 4, 5,...
Uniformly convex spiral functions and uniformly spirallike functions associated with Pascal distribution series
The aim of this paper is to find the necessary and sufficient conditions and inclusion relations for Pascal distribution series to be in the classes and of uniformly spirallike functions. Further, we consider an integral operator related to Pascal distribution series. Several corollaries and consequences of the main results are also considered.
Uniformly starlike and convex univalent functions by using certain integral operators.
Uniformly starlike and uniformly convex functions pertaining to special functions.
Uniformly starlike functions and uniformly convex functions related to the Pascal distribution
In this article, we aim to find sufficient conditions for a convolution of analytic univalent functions and the Pascal distribution series to belong to the families of uniformly starlike functions and uniformly convex functions in the open unit disk . We also state corollaries of our main results.
Univalence condition for a new generalization on the family of integral operators.
Univalence conditions for certain integral operators.
Univalence conditions for some general integral operators.
Univalence conditions of general integral operator
Univalence criteria.
Univalence criterion for an integral operator.