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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...
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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...
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Bohr-Type Inequalities for Unimodular Bounded Analytic Functions
In this paper, we establish several new versions of Bohr-type inequalities for bounded analytic functions in the unit disk by allowing
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On a Class of Analytic Functions Closely Related to a Class Defined by Silverman and Silvia
We define and study a class of analytic functions in the unit disc by using a modification of the well-known Silverman and Silvia analytic formula...
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Inclusion relations for some classes of analytic functions involving Pascal distribution series
In this article, we introduce and discuss some new subclasses of functions that are analytic in the open unit disc and involve the Pascal...
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Univalence Criteria for Locally Univalent Analytic Functions
Suppose that p ( z ) = 1 + zϕ″ ( z ) /ϕ′ ( z ), where ϕ ( z ) is a locally univalent analytic function in the unit disk D with ϕ (0) = ϕ′ (1) − 1 = 0 . We establish...
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Bruce–Roberts numbers and quasihomogeneous functions on analytic varieties
Given a germ of an analytic variety X and a germ of a holomorphic function f with a stratified isolated singularity with respect to the logarithmic...
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The Riemann Problem with a Condition on the Real Axis for Generalized Analytic Functions with a Singular Curve
We study the inhomogeneous Riemann boundary value problem with a finite index and a boundary condition on the real axis for one generalized...
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The Riemann Problem in a Half-Plane for Generalized Analytic Functions with a Singular Line
AbstractIn this paper we have studied an inhomogeneous Riemann boundary value problem with a finite index and a boundary condition on the real axis...
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Functions and Their Analytic Properties
In this chapter we introduce the most important concept in the branch of analysis, and probably in all mathematics, which is a function. We will...
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Bohr–Rogosinski-Type Inequalities for Certain Classes of Functions: Analytic, Univalent, and Convex
In this article, we prove the sharp improvement of the classical Rogosinski inequality for the class of analytic self maps on the unit disk....
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Analytic Continuations
Analytic functions have surprised us in previous chapters with their properties. In this chapter we will learn about another interesting property of...
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The Schwartz Inequality and the Schwartz Formula for A-Analytic Functions
In this paper, we study A -analytic functions. We provide main fundamental theorems of the theory of A -analytic functions and prove analogs of the...
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The sharp bound of the third Hankel determinant of kth-root transformation for analytic functions
In this paper, we delve into the fascinating realm of analytic map**s within the open unit disc, focusing on functions that are standardly...
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Generalized Krätzel functions: an analytic study
The paper is devoted to the study of generalized Krätzel functions, which are the kernel functions of type-1 and type-2 pathway transforms. Various...
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On certain subclasses of analytic functions associated with Pascal operator
In this paper, we introduce several new subclasses of the analytic functions defined in the open unit disc U that are associated with the Pascal...