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SOME STARLIKENESS AND CONVEXITY PROPERTİES FOR TWO NEW P VALENT INTEGRAL OPERATORS   
Yazarlar (3)
Prof. Dr. Erhan DENİZ Prof. Dr. Erhan DENİZ
Kafkas Üniversitesi, Türkiye
Esra Deniz
Kafkas Üniversitesi, Türkiye
Prof. Dr. Nizami MUSTAFA Prof. Dr. Nizami MUSTAFA
Kafkas Üniversitesi, Türkiye
Devamını Göster
Özet
In this paper, we define two new general $p$−valent integral operators in the unit disc $U$ and obtain the properties of $p$−valent starlikeness and $p$−valent convexity of these integral operators of $p$−valent functions on some classes of $beta$−uniformly $p$−valent starlike and $beta$−uniformly $p$−valent convex functions of complex order and type α $(0 ≤leq alpha < p)$. As special cases, the properties of $p$−valent starlikeness and $p$−valent convexity of the operators $int_{0}^{z} pt^{p-1} left( frac{f(t)}{t^p}right)^delta dt$ and $int_{0}^{z} pt^{p-1} left( frac{g'(t)}{pt^{p-1}}right)^delta dt$ are given.
Anahtar Kelimeler
Analytic functions | Complex order | $\beta$−uniformly $p$−valent starlike and $\beta$−uniformly $p$−valent convex functions | Integral operators
Makale Türü Açık Erişim Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale
Dergi Adı Hacettepe Journal of Mathematics and Statistics
Dergi ISSN 1303-5010
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 01-2016
Cilt No 45
Sayı 5
Sayfalar 1367 / 1378
Doi Numarası 10.15672/HJMS.20164514281
Makale Linki http://www.hjms.hacettepe.edu.tr/uploads/e6780022-e761-443c-9d8e-af60477adf13.tex