Harmonic function for which the second dilatation is α-spiral

Aydoğan, Seher; Duman, Emel; Polatog̃lu, Yaşar; Kahramaner, Yasemin

doi:10.1186/1029-242x-2012-262

Harmonic function for which the second dilatation is α-spiral

Aydoğan S. M., Duman E. Y., Polatog̃lu Y., Kahramaner Y.

Journal of Inequalities and Applications, vol.2012, 2012 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 2012
Publication Date: 2012
Doi Number: 10.1186/1029-242x-2012-262
Journal Name: Journal of Inequalities and Applications
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Keywords: Harmonic functions, growth theorem, distortion theorem, coefficient inequality
Open Archive Collection: AVESIS Open Access Collection
İstanbul Ticaret University Affiliated: Yes

Abstract

Let f = h + ḡ be a harmonic function in the unit disc double-struck D. We will give some properties of f under the condition the second dilatation is α-spiral. © 2012 Aydog̃an et al.; licensee Springer.