Pascal distribution series for subclasses of analytic functions associated with conic domains

Frasin B. A., Aydoğan S. M.

AFRIKA MATEMATIKA, cilt.32, sa.1-2, ss.105-113, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 1-2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s13370-020-00813-1
  • Dergi Adı: AFRIKA MATEMATIKA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.105-113
  • Anahtar Kelimeler: Analytic functions, Hadamard product, Pascal distribution series, HYPERGEOMETRIC-FUNCTIONS, UNIVALENT-FUNCTIONS, STARLIKE
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In the present paper, we determine sufficient conditions for the Pascal distribution series P( X = r) = ((r+m-1)(m-1)) q(r) (1 - q)(m), to be in the subclasses of k-parabolic functions and k-uniformly convex functions associated with conic domains. Further, we consider an integral operator related to Pascal distribution series. Some interesting special cases of our main results are also considered.