Harmonic univalent functions defined by post quantum calculus operators

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Ahuja O. P., Cetinkaya A., Ravichandran V.

ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, cilt.11, sa.1, ss.5-17, 2019 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.2478/ausm-2019-0001
  • Dergi Adı: ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.5-17
  • İstanbul Kültür Üniversitesi Adresli: Evet

Özet

We study a family of harmonic univalent functions in the open unit disc defined by using post quantum calculus operators. We first obtained a coefficient characterization of these functions. Using this, coefficients estimates, distortion and covering theorems were also obtained. The extreme points of the family and a radius result were also obtained. The results obtained include several known results as special cases.