On a new linear operator formulated by Airy functions in the open unit disk [PDF]
Advances in Difference Equations, 2021 In this note, we formulate a new linear operator given by Airy functions of the first type in a complex domain. We aim to study the operator in view of geometric function theory based on the subordination and superordination concepts. The new operator is
Rabha W. Ibrahim, Dumitru Baleanu
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Classes and Boundary Properties of Functions in the Open Unit Disk
Proceedings of the Bulgarian Academy of Sciences, 2022 Let \(\psi\) be a Blaschke product and \(d\theta(\mathop{\rm supp}\psi)=0\). In this paper we prove that the functions of Bourgain algebra \( (\psi H^\infty (D), L^\infty (D))_b \) have essential non-tangential limit at almost every point of \(T=\{z:\mid
Miroslav Hristov
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Geometric Inequalities via a Symmetric Differential Operator Defined by Quantum Calculus in the Open Unit Disk [PDF]
Journal of Function Spaces, 2020 The present investigation covenants with the concept of quantum calculus besides the convolution operation to impose a comprehensive symmetric - differential operator defining new classes of analytic functions. We study the geometric representations with
Rabha W. Ibrahim +2 more
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Characterization of the asymptotic Teichmüller space of the open unit disk through shears [PDF]
Pure and Applied Mathematics Quarterly, 2014 We give a parametrization of the asymptotic Teichmuller space AT (D) of the open unit disk through a space of equivalent classes of the shear functions induced by quasisymmetric homeomorphisms on the Farey tesselation of the disk.
Jinhua Fan, Jun Hu
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Indefinite structure of the Bergman kernel on the open unit disk [PDF]
Journal of Mathematical Analysis and ApplicationsIn this paper, we focus on an indefinite structure lying behind the Bergman kernel on the open unit disk. In particular, an invariant distance, birational maps and an indefinite kernel are constructed from the Bergman kernel, and we deal with their interaction.
Kenta Kojin +2 more
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Analytic maps of the open unit disk onto a Gleason part [PDF]
Pacific Journal of Mathematics, 1976 Kazuo Kishi
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Homeomorphism between the open unit disk and a Gleason part [PDF]
Journal of the Mathematical Society of Japan, 1975 Kazuo Kishi
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Properties and Applications of Complex Fractal–Fractional Operators in the Open Unit Disk [PDF]
Fractal and FractionalA fractal–fractional calculus is presented in term of a generalized gamma function (ℓ−gamma function: Γℓ(.)). The suggested operators are given in the symmetric complex domain (the open unit disk).
Adel A. Attiya +3 more
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On the characterization properties of certain hypergeometric functions in the open unit disk [PDF]
Journal of Inequalities and Applications, 2022 AbstractOur purpose in the present investigation is to study certain geometric properties such as the close-to-convexity, convexity, and starlikeness of the hypergeometric function $z{}_{1}F_{2}(a;b,c;z)$ z 1 F
Deepak Bansal +3 more
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Thin sets in an open unit disk
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1973 Masayuki Osada
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