SOME STARLIKENESS AND CONVEXITY PROPERTİES FOR TWO NEW P VALENT INTEGRAL OPERATORS
Yazarlar (3)
Prof. Dr. Erhan DENİZ
Kafkas Üniversitesi, Türkiye
Esra Deniz
Kafkas Üniversitesi, Türkiye
Prof. Dr. Nizami MUSTAFA
Kafkas Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| 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 / Sayı / Sayfa | 45 / 5 / 1367–1378 | DOI | 10.15672/HJMS.20164514281 |
| Makale Linki | http://www.hjms.hacettepe.edu.tr/uploads/e6780022-e761-443c-9d8e-af60477adf13.tex | ||
| 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 |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları |