On Some Interesting Classes of Analytic Functions Related to Univalent Functions

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

Mathematics, 2024, vol. 12, issue 4, 1-12

Abstract: Let A ¯ be the new general class of functions f ( z ) of the form f ( z ) = z + ∑ k = 1 ∞ a 1 + k 2 z 1 + k 2 that are analytic in the open unit disc U . In the present paper, for f ( z ) ∈ A ¯ , we consider classes S ∗ ¯ ( α ) , C ¯ ( α ) and R ¯ ( α ) and obtain some interesting properties of f ( z ) ∈ A ¯ concerning S ∗ ¯ ( α ) , C ¯ ( α ) and R ¯ ( α ) , applying subordinations of f ( z ) .

Keywords: analytic function; starlike of order ?; convex of order ?; univalent; subordination (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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