Radii of uniform convexity of some special functions

Aktas I., Toklu E., ORHAN H.

TURKISH JOURNAL OF MATHEMATICS, cilt.42, sa.6, ss.3010-3024, 2018 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 6
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3906/mat-1806-43
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.3010-3024
  • Anahtar Kelimeler: Radius of uniform convexity, Mittag-Leffler expansions, q-Bessel functions, Wright function, NORMALIZED BESSEL-FUNCTIONS, STARLIKENESS, BOUNDS, LOMMEL, ZEROS
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this investigation our main aim is to determine the radii of uniform convexity of selected normalized q-Bessel and Wright functions. Here we consider six different normalized forms of q-Bessel functions and we apply three different kinds of the normalization of the Wright function. We also show that the obtained radii are the smallest positive roots of some functional equations.