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Applications of Certain p-Valently Analytic Functions

Georgia Oros, Gheorghe Oros, Shigeyoshi Owa

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Source: Crossref

Published: Mar 12, 2022

DOI: 10.3390/math10060910

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Source abstract

In this paper, a new operator Dsf, with s a real number, is defined considering functions that belong to the known class of p-valent analytic functions in the open unit disk U. Applying this operator, a new subclass of p-valently analytic functions is introduced and some interesting subordination- and coefficient-related properties of the functions in this class are discussed. It is also shown that for certain values given to the parameters involved in the definition of the class, p-valently starlike and p-valently convex functions of certain orders can be obtained, respectively. Examples are also given as applications of the newly proven results.

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