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A criterion for univalence extension
This paper presents a study on the univalence extension of a specific class of functions defined by an integral operator. The research provides...
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Geometric properties of the meromorphic functions class through special functions associated with a linear operator
According to the theory of regular geometric functions, the relevance of geometry to analysis is a critical feature. One of the significant tools to...
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Radius of convexity of classes associated with the ratio of derivative functions
The sharp radius of convexity of the classes consisting of normalized analytic functions f defined in the open unit disk is determined such that the...
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Initial Estimates of Seven Coefficients for a Subclass of Bi-Starlike Functions
We study a subclass of bi-starlike functions and obtain, for the first time, the initial seven Taylor– Maclaurin coefficient estimates |a 2 |, |a 3 |, ....
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Monogenic Functions in Vector Spaces with Commutative Multiplication
This chapter discusses the concepts of differentiable function Φ: Ω → 𝔸 taking values in a vector space 𝔸 in which a commutative multiplication is...
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Explicit Numerically Implementable Formulas for Poincaré–Steklov Operators
AbstractThe paper presents explicit numerically implementable formulas for the Poincaré–Steklov operators, such as the Dirichlet–Neumann,...
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On subclasses of analytic functions based on a quantum symmetric conformable differential operator with application
Quantum calculus (the calculus without limit) appeared for the first time in fluid mechanics, noncommutative geometry and combinatorics studies....
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Coefficient Problems for Certain Close-to-Convex Functions
In this paper, bounds are established for the second Hankel determinant of logarithmic coefficients for normalised analytic functions satisfying...
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Certain Subclasses of Meromorphically q-Starlike Functions Associated with the q-Derivative Operators
We establish several general results concerning the partial sums of meromorphically starlike functions defined by means of a certain class of q -deriva...
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The Problem of V. N. Dubinin for Symmetric Multiconnected Domains
We consider a quite general problem from the geometric theory of functions, namely, the problem of finding the maximal value of the product of inner...
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On a New Subclass of Sakaguchi Type Functions Using \((\mathfrak {p},\mathfrak {q})\) -Derivative Operator
The authors have introduced a new subclass of bi-univalent functions consisting of Sakaguchi type functions involving...
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