On the improvement of Mocanu's conditions

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Nunokawa M., Owa S., Cho N. E., Sokół J., Yavuz Duman E.

Journal of Inequalities and Applications, cilt.2013, 2013 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2013
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1186/1029-242x-2013-426
  • Dergi Adı: Journal of Inequalities and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Nunokawa's lemma, Strongly convex functions of order alpha, Strongly starlike functions of order alpha, Subordination
  • İstanbul Kültür Üniversitesi Adresli: Evet

Özet

We estimate | Arg{p(z )}| for functions of the form p(z) = 1 + a 1z + a2 z2 + a3 z 3 + . . . in the unit disc double-struck D = {z : |z| < 1} under several assumptions. By using Nunokawa's lemma, we improve a few of Mocanu's results obtained by differential subordinations. Some applications for strongly starlikeness and convexity are formulated. © 2013 Nunokawa et al.; licensee Springer.