Third Hankel determinant and Zalcman functional for a class of starlike functions with respect to symmetric points related with sine function

Muhammad G. K., Ahmad B., Murugusundaramoorthy G., Mashwani W. K., Yalçın Tokgöz S., Shaba T. G., ...Daha Fazla

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, cilt.25, sa.1, ss.29-36, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.22436/jmcs.025.01.04
  • Dergi Adı: JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.29-36
  • Anahtar Kelimeler: Analytic functions, subordinations, sine function, Hankel determinant, Zalcman functional, COEFFICIENT, CONJECTURE, BOUNDS
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this article we define a class of starlike functions with respect to symmetric points in the domain of sine function. Also, we investigate coefficients bounds and upper bounds for the third order Hankel determinant for this defined class. We also evaluate the Zalcman functiona vertical bar a2/3 - a(5)vertical bar. Specializing the parameters, we improve Zalcman functional for the class of starlike functions.