Applications of Certain p -Valently Analytic Functions

Georgia Irina Oros, Gheorghe Oros and Shigeyoshi Owa
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Georgia Irina Oros: Department of Mathematics and Computer Science, Faculty of Informatics and Sciences, University of Oradea, 410087 Oradea, Romania
Gheorghe Oros: Department of Mathematics and Computer Science, Faculty of Informatics and Sciences, University of Oradea, 410087 Oradea, Romania
Shigeyoshi Owa: 1 Decembrie 1918 University, 510009 Alba Iulia, Romania

Mathematics, 2022, vol. 10, issue 6, 1-17

Abstract: In this paper, a new operator D s f , 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.

Keywords: p -valently analytic function; p -valently starlike function; p -valently convex function; subordination; coefficient problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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