On Dual Sets and Neighborhood of New Subclasses of Analytic Functions Involving q-Derivative
| Autor: | Humayoun Shahid, Khalida Inayat Noor |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
General Mathematics 010102 general mathematics q-derivative General Physics and Astronomy 02 engineering and technology General Chemistry 01 natural sciences Convolution Dual (category theory) Operator (computer programming) Conic section Special functions 0202 electrical engineering electronic engineering information engineering General Earth and Planetary Sciences 020201 artificial intelligence & image processing 0101 mathematics Special case General Agricultural and Biological Sciences Mathematics Analytic function |
| Zdroj: | Iranian Journal of Science and Technology, Transactions A: Science. 42:1579-1585 |
| ISSN: | 2364-1819 1028-6276 |
| DOI: | 10.1007/s40995-018-0525-9 |
| Popis: | Quantum theory has wide applications in special functions and quantum physics. In this paper, we discuss the geometric properties of analytic functions using q-differential operator. We introduce some new subclasses of analytic functions which are obtained from the q-derivative and conic domains. We investigate interesting results involving dual sets and convolution properties of these new subclasses. We also study the inclusion properties of neighborhood of analytic functions. Our results continue to hold for the known and new subclasses of analytic functions which can be obtained as special case. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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