Notes on harmonic functions for which the second dilatation is α - spiral
Yükleniyor...
Dosyalar
Tarih
2015-06
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Eudoxus Press
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, we consider, f = h + (g) over bar harmonic functions in the unit disc D. By applying S. S. Miller and P. M. Mocanu result, we obtain a new subclass of harmonic functions, such as S-HPST*(alpha, beta) We introduce this new class as defined in the following form, S-HPST*(alpha, beta) = {f = h(z) + <(g(z))over bar>vertical bar f is an element of S-H, h(z) is an element of S* , Re (e(i alpha)g '(z)/h '(z)) > beta,vertical bar alpha vertical bar < pi/2,0 <= beta < (0.1), We also use subordination principle, study on distortion theorems, some numerical examples and coefficient inequalities of this class.
Açıklama
Anahtar Kelimeler
Harmonic functions, Growth theorem, Distortion theorem, Coefficient inequality
Kaynak
Journal Of Computational Analysis And Applications
WoS Q Değeri
Q4
Scopus Q Değeri
Q4
Cilt
18
Sayı
6
Künye
Aydoğan, S. M. (2015). Notes on harmonic functions for which the second dilatation is alpha - spiral. Journal Of Computational Analysis And Applications, 18(6), 1111-1121.
