ON PARTIAL SUMS OF NORMALIZED q-BESSEL FUNCTIONS


Artas I., ORHAN H.

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, cilt.33, sa.2, ss.535-547, 2018 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.4134/ckms.c170204
  • Dergi Adı: COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.535-547
  • Anahtar Kelimeler: analytic function, q-Bessel functions, univalent functions, partial sums, CONVEX-FUNCTIONS, STARLIKENESS, RADII
  • Atatürk Üniversitesi Adresli: Evet

Özet

In the present investigation our main aim is to give lower bounds for the ratio of some normalized q-Bessel functions and their sequences of partial sums. Especially, we consider Jackson's second and third q-Bessel functions and we apply one normalization for each of them.