Specific Classes of Analytic Functions Communicated with a Q-Differential Operator Including a Generalized Hypergeometic Function

نویسندگان

چکیده

A special function is a that typically entitled after an early scientist who studied its features and has specific application in mathematical physics or another area of mathematics. There are few significant examples, including the hypergeometric unique species. These types functions generalized by fractional calculus, fractal, q-calculus, (q,p)-calculus k-calculus. By engaging notion q-fractional calculus (QFC), we investigate geometric properties Prabhakar differential operator open unit disk ∇:={ξ∈C:|ξ|<1}. Consequently, insert class analytic functions. Our methodology indicated usage subordination superordination theory. Accordingly, numerous inequalities organized. Additionally, as application, study solution kinds q–fractional equation.

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ژورنال

عنوان ژورنال: Fractal and fractional

سال: 2022

ISSN: ['2504-3110']

DOI: https://doi.org/10.3390/fractalfract6100545