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On Some Interesting Classes of Analytic Functions Related to Univalent Functions

Author

Listed:
  • 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)

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 ) .

Suggested Citation

  • Hatun Özlem Güney & Daniel Breaz & Shigeyoshi Owa, 2024. "On Some Interesting Classes of Analytic Functions Related to Univalent Functions," Mathematics, MDPI, vol. 12(4), pages 1-12, February.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:4:p:513-:d:1334900
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