Abstract
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).
Original language | English |
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Article number | 325 |
Journal | Advances in Difference Equations |
Volume | 2020 |
DOIs | |
Publication status | Published - 1 Jul 2020 |
Keywords
- Analytic function
- Conformable fractional derivative
- Open unit disk
- Subordination and superordination
- Univalent function
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Applied Mathematics