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Open AccessUpper bound for the second and third Hankel determinants of analytic functions associated with the error function and q-convolution combination
Recently, El-Deeb and Cotîrlă (Mathematics 11:11234834, 2023) used the error function together with a q-convolution to introduce a new operator. By means of this operator the following class
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Open AccessThe study of coefficient estimates and Fekete–Szegö inequalities for the new classes of m-fold symmetric bi-univalent functions defined using an operator
The objective of this paper is to introduce new classes of m-fold symmetric bi-univalent functions. We discuss estimates on the Taylor–Maclaurin coefficients ...
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Article
Applications of fractional derivatives for Alexander integral operator
Let \(T_n\) T n
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Bernstein and Turán-type inequalities for a polynomial with constraints on its zeros
This paper considers the well known Bernstein and Turán-type inequalities that relate the uniform norm of a polynomial to that of its derivative on the unit circle in the plane. Here, we establish some new ine...
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Univalence Conditions and Properties for Some New Integral Operators
In this paper we introduce three new integral operators. For these operators we prove the univalence conditions, the convexity order and some other properties for some special classes of functions. In view of ...
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Some univalence conditions for a general integral operator
The authors consider the classes of the univalent functions denoted by SH(β), SP and SP(α, β). On these classes, the univalence conditions for a general integral operator are studied.
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Open AccessSufficient Conditions for Univalence of an Integral Operator
In this paper we have introduced an integral general operator. For this general operator which is a generalization of more known integral operators we have demonstrated some univalence properties.
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Open AccessOn the Univalence Criterion of a General Integral Operator
In this paper we considered an general integral operator and three classes of univalent functions for which the second order derivative is equal to zero. By imposing supplimentary conditions for these function...
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Open AccessSufficient Univalence Conditions for Analytic Functions
We consider a general integral operator and the class of analytic functions. We extend some univalent conditions of Becker's type for analytic functions using a general integral transform.
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Open AccessCertain Integral Operators on the Classes and
We consider the classes and of the analytic functions and ...
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Open AccessA Convexity Property for an Integral Operator on the Class
We consider an integral operator, , for analytic functions,