Results 1 to 10 of about 50,259 (246)
Properties and Applications of Complex Fractal–Fractional Operators in the Open Unit Disk
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 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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On the characterization properties of certain hypergeometric functions in the open unit disk
Journal of Inequalities and Applications, 2022 Our 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 ) $z{}_{1}F_{2}(a;b,c;z)$ in the open unit disk.
Deepak Bansal +3 more
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Applied Mathematics Letters, 2011 AbstractWe present a general and efficient numerical method with low computational complexity for computing the number of zeros of a real polynomial in the unit disk.
Bernard Gleyse, A. Larabi
exaly +2 more sources
Using conformal radii of the open unit disk sectors in distortion theorems for univalent functions
Complex Analysis and Its SynergieszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Iryna Denega
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Analytic maps of the open unit disk onto a Gleason part [PDF]
Pacific Journal of Mathematics, 1976 exaly +3 more sources
Coefficients Inequalities for the Bi-Univalent Functions Related to q-Babalola Convolution Operator
Fractal and Fractional, 2023 This article defines a new operator called the q-Babalola convolution operator by using quantum calculus and the convolution of normalized analytic functions in the open unit disk.
Isra Al-shbeil +2 more
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MethodsX, 2023 Analytic functions are very helpful in many mathematical and scientific uses, such as complex integration, potential theory, and fluid dynamics, due to their geometric features.
Ibtisam Aldawish, Rabha W. Ibrahim
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Mathematics, 2023 Subclasses of analytic and bi-univalent functions have been extensively improved and utilized for estimating the Taylor–Maclaurin coefficients and the Fekete–Szegö functional.
Abdulmtalb Hussen, Abdelbaset Zeyani
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New Class of Close-to-Convex Harmonic Functions Defined by a Fourth-Order Differential Inequality
Journal of Mathematics, 2022 In the recent past, various new subclasses of normalized harmonic functions have been defined in open unit disk U which satisfy second-order and third-order differential inequalities.
Mohammad Faisal Khan +4 more
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