RADII OF STARLIKENESS OF SOME SPECIAL FUNCTIONS

BARİCZ A., Dimitrov D. K., ORHAN H., Yagmur N.

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, cilt.144, sa.8, ss.3355-3367, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 144 Sayı: 8
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1090/proc/13120
  • Dergi Adı: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3355-3367
  • Anahtar Kelimeler: Lommel functions of the first kind, Struve functions, univalent, starlike functions, radius of starlikeness, zeros of Lommel functions of the first kind, zeros of Struve functions, trigonometric integrals, ZEROS
  • Atatürk Üniversitesi Adresli: Evet

Özet

Geometric properties of the classical Lommel and Struve functions, both of the first kind, are studied. For each of them, three different normalizations are applied in such a way that the resulting functions are analytic in the unit disk of the complex plane. For each of the six functions we determine the radius of starlikeness precisely.