SECOND HANKEL DETERMINANT FOR A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY HYPERGEOMETRIC FUNCTIONS

ORHAN H., ÇAĞLAR M., ARIKAN H.

Afrika Matematika, cilt.34, sa.18, 2023 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 18
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s13370-023-01063-7
  • Dergi Adı: Afrika Matematika
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Anahtar Kelimeler: Analytic functions, Univalent functions, Hypergeometric functions, Fekete-Szego problem, Hankel determinant, UNIVALENT, STARLIKE, INEQUALITY
  • Atatürk Üniversitesi Adresli: Evet

Özet

In the present paper, we obtain the upper bounds for the second Hankel determinant and Fekete-Szego inequalities for a new subclass of analytic functions in the open unit disk defined by the hypergeometric functions. Moreover, several interesting applications of the results presented here are also discussed.