On Miller–Ross-Type Poisson Distribution Series

Basem Aref Frasin and Luminiţa-Ioana Cotîrlă ()
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Basem Aref Frasin: Department of Mathematics, Faculty of Science, Al al-Bayt University, Mafraq 25113, Jordan
Luminiţa-Ioana Cotîrlă: Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

Mathematics, 2023, vol. 11, issue 18, 1-10

Abstract: The objective of the current paper is to find the necessary and sufficient conditions for Miller–Ross-type Poisson distribution series to be in the classes S T * ( γ , β ) and K T ( γ , β ) of analytic functions with negative coefficients. Furthermore, we investigate several inclusion properties of the class Y σ ( V , W ) associated of the operator I α , c ε defined by this distribution. We also take into consideration an integral operator connected to series of Miller–Ross-type Poisson distributions. Special cases of the main results are also considered.

Keywords: analytic functions; starlike functions; convex functions; Hadamard product; Miller–Ross-type Poisson distribution series (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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