RADII OF k-STARLIKENESS OF ORDER alpha OF STRUVE AND LOMMEL FUNCTIONS

Aktas I., Toklu E., Orhan H.

MISKOLC MATHEMATICAL NOTES, cilt.22, sa.1, ss.5-15, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.18514/mmn.2021.3400
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.5-15
  • Anahtar Kelimeler: k-starlike functions, radius of k-starlikeness of order alpha, Mittag-Leffler expansions, Lommel and Struve functions, HYPERGEOMETRIC-FUNCTIONS, CONVEXITY, BOUNDS
  • Atatürk Üniversitesi Adresli: Evet

Özet

In the present work our main objective is to determine the radii of k - starlikeness of order alpha of the some normalized Struve and Lommel functions of the first kind. Furthermore it has been shown that the obtained radii satisfy some functional equations. The main key tool of our proofs are the Mittag-Leffler expansions of the Struve and Lommel functions of the first kind and minimum principle for harmonic functions. Also we take advantage of some basic inequalities in the complex analysis.