Yayın: Harmonic mappings for which second dilatation is Janowski functions
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Tarih
2013
Yazarlar
Yavuz Duman, Emel
Polatoğlu, Yaşar
Kahramaner, Yasemin
Darus, Maslina
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayımcı
Özet
In the present paper we extend the fundamental property that if
h(z) and g(z) are regular functions in the open unit disc D with the
properties h(0) = g(0) = 0, h maps D onto many-sheeted region which
is starlike with respect to the origin, and Re g
′
(z)
h′(z) > 0, then Re g(z)
h(z) > 0,
introduced by R.J. Libera [5] to the Janowski functions and give some
applications of this to the harmonic functions.
Açıklama
Anahtar kelimeler
Harmonic mappings, Janowski functions, growth theorem, distortion theorem, coefficient inequality