On a New Linear Operator Formulated by Airy Functions in the Open Unit Disk
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Abstract
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 suggested to define a class of normalized functions (the class of univalent functions) calling the Airy difference formula. As a result, the suggested difference formula joining the linear operator is modified to different classes of analytic functions in the open unit disk.
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Ibrahim, Rabha W./0000-0001-9341-025X
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Analytic Function, Univalent Function, Subordination, Open Unit Disk, Semi-elliptic operator, Artificial intelligence, Class (philosophy), Linear map, Subordination (linguistics), Subordination, Univalent Functions, Operator (biology), Mathematical analysis, Biochemistry, Gene, Differential equation, QA1-939, FOS: Mathematics, Complex Analysis and Operator Theory, Operator Theory, Hypoelliptic operator, Applied Mathematics, Geometric Function Theory and Complex Analysis, Pure mathematics, Univalent function, Linguistics, Airy function, Computer science, Nonlocal Partial Differential Equations and Boundary Value Problems, FOS: Philosophy, ethics and religion, Unit disk, Chemistry, Philosophy, Analytic function, Open unit disk, Physical Sciences, FOS: Languages and literature, Repressor, Differential operator, Geometry and Topology, Transcription factor, Mathematics, Ordinary differential equation, subordination, univalent function, analytic function, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Extremal problems for conformal and quasiconformal mappings, other methods, open unit disk, Coefficient problems for univalent and multivalent functions of one complex variable
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01 natural sciences, 0101 mathematics
Citation
Ibrahim, Rabha W.; Baleanu, Dumitru (2021). "On a new linear operator formulated by Airy functions in the open unit disk", Advances in Difference Equations, Vol. 2021, No. 1.
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2
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2021
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1
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Scopus : 4
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