Öz
Kaynakça
- [1] R. M. Ali, N. K. Jain and V. Ravichandran, Radii of starlikeness associated with the lemniscate of Bernoulli and the left-half plane, Appl. Math. Comput. 218, no. 11, 6557–6565, 2012.
RADII OF CONVEXITY ASSOCIATED WITH VARIOUS SUBCLASSES OF ANALYTIC FUNCTIONS FOR FUNCTIONS RELATED TO KAPLAN CLASSES
Öz
A normalized analytic function f defined on the open unit disc D is called Ma-Minda
convex if 1 + zf′′(z)/f′(z) is subordinate to the function φ. For 0 ⩽ α ⩽ β, the Kaplan class
K(α, β) of type α and β consists of normalized analytic functions of the form p^{α}g defined on D
where p with p(0) = 1 is an analytic function taking values in the right half-plane and g is an
analytic function with g(0) = 1 satisfying Re(zg′(z)/g(z)) > (α − β)/2. For functions f with
f′ ∈ K(α, β), we obtain the radius of Ma-Minda convexity for various choices of φ. The radius of
lemniscate convexity, lune convexity, nephroid convexity, exponential convexity and several other
radius estimates are examined. The results obtained are sharp.
Anahtar Kelimeler
univalent functions starlike functions convex functions close-to-convex functions subordination kaplan class radius of convexity
Kaynakça
- [1] R. M. Ali, N. K. Jain and V. Ravichandran, Radii of starlikeness associated with the lemniscate of Bernoulli and the left-half plane, Appl. Math. Comput. 218, no. 11, 6557–6565, 2012.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Reel ve Kompleks Fonksiyonlar |
| Bölüm | Matematik |
| Yazarlar | |
| Erken Görünüm Tarihi | 27 Ocak 2025 |
| Yayımlanma Tarihi | |
| Gönderilme Tarihi | 21 Nisan 2024 |
| Kabul Tarihi | 9 Ekim 2024 |
| Yayımlandığı Sayı | Yıl 2025 Erken Görünüm |