Search
Search Results
-
Analytic Functions
In this chapter and onwards, we study properties of complex-valued functions of a complex variable. It turns out that every complex-valued function...
-
Elementary Analytic Functions
Conformal map**s are of immense importance in various branches of mathematics and in many applications. To solve many problems, one needs to be...
-
Qualitative Properties of Analytic Functions
Inspired by the properties of analytic functions proved in the previous sections, in the last section we are ready to explore new, no less amazing...
-
Growth of log-analytic functions
We show that unary log-analytic functions are polynomially bounded. In the higher dimensional case, globally a log-analytic function can have...
-
Computation of Fractional Derivatives of Analytic Functions
It has recently been demonstrated that both regular derivatives and contour integrals of analytic functions can be numerically evaluated to very high...
-
Stratified reduction of singularities of generalized analytic functions
Generalized analytic functions are naturally defined in manifolds with boundary and are built from sums of convergent real power series with...
-
Some Sharp Bohr-Type Inequalities for Analytic Functions
This article focuses on the improvement of the classic Bohr’s inequality for bounded analytic functions on the unit disk. We give some sharp versions...
-
Hardy spaces of meta-analytic functions and the Schwarz boundary value problem
We extend representation formulas that generalize the similarity principle of solutions to the Vekua equation to certain classes of meta-analytic...
-
-
Upper bounds of the logarithmic coefficients for some subclasses of analytic functions
Due to the major importance of the study of the logarithmic coefficients for univalent functions, in this paper we find the sharp upper bounds for...
-
Hyper-power series and generalized real analytic functions
This article is a natural continuation of the paper Tiwari, D., Giordano, P., Hyperseries in the non-Archimedean ring of Colombeau generalized numbers ...
-
Second Hankel determinant for a certain subclass of analytic functions defined by hypergeometric functions
In the present paper, we obtain the upper bounds for the second Hankel determinant and Fekete-Szegö inequalities for a new subclass of analytic...
-
Gilbert’s Conjecture and a New Way to Octonionic Analytic Functions from the Clifford Analysis
In this article, we will give an affirmative answer to Gilbert’s conjecture on Hardy spaces of Clifford analytic functions in upper half-space of
... 
-
Laurent Series: Isolated Singularities of Analytic Functions
In this chapter, we continue the study of power series, but already their generalizations, namely power series containing terms...
-
A Class of Analytic Functions Defined by a Second Order Differential Inequality and Error Function
In this article, we introduce and investigate a novel class of analytic functions that are defined through a second-order differential inequality in...