New Properties of Analytic Functions

Hatun Özlem Güney and Shigeyoshi Owa ()
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Hatun Özlem Güney: Department of Mathematics, Faculty of Science, Dicle University, Diyarbakır 21280, Türkiye
Shigeyoshi Owa: “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, Romania

Mathematics, 2024, vol. 12, issue 10, 1-12

Abstract: In the present paper, we consider the class A ¯ of functions f ( z ) of the form f ( z ) = z + ∑ k = 1 ∞ a 1 + k 3 z 1 + k 3 that are analytic in the open unit disc U . If a 1 + k 3 = 0 for k ≠ 3 n ( n = 1 , 2 , 3 , ⋯ ) , then f ( z ) is given by f ( z ) = z + ∑ k = 2 ∞ a k z k . For such functions f ( z ) ∈ A ¯ , some interesting properties for subordinations and strongly starlike functions are given. Also, some interesting examples for the results are shown.

Keywords: analytic function; subordination; strongly starlike function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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