On subclasses of analytic functions based on a quantum symmetric conformable differential operator with application
| Autor: | Rabha W. Ibrahim, Suzan Jabbar Obaiys, Rafida M. Elobaid |
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| Rok vydání: | 2020 |
| Předmět: |
Subordination and superordination
Pure mathematics Algebra and Number Theory Partial differential equation Geometric function theory Differential equation lcsh:Mathematics Applied Mathematics Univalent function Conformable fractional derivative Quantum calculus lcsh:QA1-939 Differential operator Analytic function Operator (computer programming) Open unit disk Ordinary differential equation Analysis Mathematics |
| Zdroj: | Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-14 (2020) |
| ISSN: | 1687-1847 |
| DOI: | 10.1186/s13662-020-02788-6 |
| Popis: | Quantum calculus (the calculus without limit) appeared for the first time in fluid mechanics, noncommutative geometry and combinatorics studies. Recently, it has been included into the field of geometric function theory to extend differential operators, integral operators, and classes of analytic functions, especially the classes that are generated by convolution product (Hadamard product). In this effort, we aim to introduce a quantum symmetric conformable differential operator (Q-SCDO). This operator generalized some well-know differential operators such as Sàlàgean differential operator. By employing the Q-SCDO, we present subclasses of analytic functions to study some of its geometric solutions of q-Painlevé differential equation (type III). |
| Databáze: | OpenAIRE |
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