On an approach to complex analysis via differintegrations
On an approximation processes in the space of analytical functions
In this paper we obtain various approximation theorems by means of k-positive linear operators defined on the space of all analytic functions on a bounded domain of the complex plane.
On an asymptotically sharp variant of Heinz's inequality.
On an entire function represented by multiple Dirichlet series
Consider the space of entire functions represented by multiple Dirichlet series that becomes a non uniformly convex Banach space which is also proved to be dense, countable and separable. Continuing further, for the given space the characterization of bounded linear transformations in terms of matrix and characterization of linear functional has been obtained.
On an estimate of a functional in the class of holomorphic univalent functions
Let denote the class of functions univalent and holomorphic in the unit disc . In the paper we obtain an estimate of the functional in the class for arbitrarily fixed and . Hence, for some special values of the parameters, we obtain estimates of several interesting functionals and numerous applications. A few open problems of a similar type are also formulated.
On an Estimate of Axler and Shapiro.
On an extension of a result due to Pólya.
On an extension of the definition of transfinite diameter and some applications.
On an extremal problem
Let denote the class of functions univalent and holomorphic in the unit disc . In the paper we obtain a sharp estimate of the functional in the class for an arbitrary .
On an extremum problem in the class of mappings, quasiconformal in the mean.
On an integral inequality for certain analytic functions.
On an integral operator of meromorphic functions
On an integral operator which preserve the univalence.
On analytic and meromorphic functions satisfying nth order algebraic differential equations in regions of the plane.
On analytic continuation and functional equation of certain Dirichlet series.
On analytic continuation of summability transforms.
On analytic functions related to certain family of integral operators.
On analytic functions with positive real part.
On Analytic Self -Mappings of Riemann Surfaces II.
On Analytic Self-Mappings of Riemann Surfaces.