منابع مشابه
On A Class Of Multivalent Starlike Functions With A Bounded Positive Real Part
By introducing a new subcalss of p-valent functions with respect to (j, k)-symmetric points, we have obtained the integral representations and conditions for starlikeness by using differential subordination. Some already known results have been, incidentally, shown to be particular cases of the main results of the paper.
متن کاملAn upper bound to the second Hankel functional for the class of gamma-starlike functions
The objective of this paper is to obtain an upper bound to the second Hankel determinant $|a_{2}a_{4}-a_{3}^{2}|$ for the function $f$, belonging to the class of Gamma-starlike functions, using Toeplitz determinants. The result presented here include two known results as their special cases.
متن کاملCoefficients of Inverse Functions in a Nested Class of Starlike Functions of Positive Order
In the present paper we find the estimates on the n coefficients in the Maclaurin’s series expansion of the inverse of functions in the class Sδ(α), (0 ≤ δ < ∞, 0 ≤ α < 1), consisting of analytic functions f(z) = z + ∑∞ n=2 anz n in the open unit disc and satisfying ∑∞ n=2 n δ ( n−α 1−α ) |an| ≤ 1. For each n these estimates are sharp when α is close to zero or one and δ is close to zero. Furth...
متن کاملApplications of subordination theory to starlike functions
Let $p$ be an analytic function defined on the open unit disc $mathbb{D}$ with $p(0)=1.$ The conditions on $alpha$ and $beta$ are derived for $p(z)$ to be subordinate to $1+4z/3+2z^{2}/3=:varphi_{C}(z)$ when $(1-alpha)p(z)+alpha p^{2}(z)+beta zp'(z)/p(z)$ is subordinate to $e^{z}$. Similar problems were investigated for $p(z)$ to lie in a region bounded by lemniscate of Bernoulli $|w^{2}-1|=1$ ...
متن کاملOn a subclass of n-starlike functions
In 1999, Kanas and Rønning introduced the classes of starlike and convex functions, which are normalized with f (w) = f ′(w)− 1 = 0 and w a fixed point in U . In 2005, the authors introduced the classes of functions close to convex and α-convex, which are normalized in the same way. All these definitions are somewhat similar to the ones for the uniform-type functions and it is easy to see that ...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 1994
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171294000360