Concave univalent functions and Dirichlet finite integral
نویسندگان
چکیده
منابع مشابه
Zeros of Functions with Finite Dirichlet Integral
In this paper, we refine a result of Nagel, Rudin, and Shapiro (1982) concerning the zeros of holomorphic functions on the unit disk with finite Dirichlet integral. This is a remark about the zeros of functions f = ), n�0 anz holomorphic on U z z < 1} that have finite Dirichlet integral D(f ) := ∞ |f |dA = n|an|, n=0 where dA is Lebesgue measure in the plane. Clearly such functions belong to th...
متن کاملThe Sugeno fuzzy integral of concave functions
The fuzzy integrals are a kind of fuzzy measures acting on fuzzy sets. They can be viewed as an average membershipvalue of fuzzy sets. The value of the fuzzy integral in a decision making environment where uncertainty is presenthas been well established. Most of the integral inequalities studied in the fuzzy integration context normally considerconditions such as monotonicity or comonotonicity....
متن کاملLinear Invariance and Integral Operators of Univalent Functions
Different methods have been used in studying the univalence of the integral (1) Jα,β(f)(z) = ∫ z 0 ( f ′(t) )α(f(t) t )β dt, α, β ∈ R, where f belongs to one of the known families of holomorphic and univalent functions f(z) = z + a2z + · · · in the unit disk D = {z : |z| < 1} (see [5]). In this paper, we study a larger set than (1), namely the set of the minimal invariant family which contains ...
متن کاملOn Integral Operator and Argument Estimation of a Novel Subclass of Harmonic Univalent Functions
Abstract. In this paper we define and verify a subclass of harmonic univalent functions involving the argument of complex-value functions of the form f = h + ¯g and investigate some properties of this subclass e.g. necessary and sufficient coefficient bounds, extreme points, distortion bounds and Hadamard product.Abstract. In this paper we define and verify a subclass of harmonic univalent func...
متن کاملOn the zeros of functions with finite Dirichlet integral and some related function spaces
(A set {z~} is called a set o/ uniqueness for the class D if there is no /~ D ( / ~ 0 ) vanishing at all these points.) He noted that a n earlier result of LOKm [9] was incorrect. (The 1955 Ergebnisse tract of W:TX:CH [13] quotes only the LOKK: result.) CARLESON also pointed out that if the {z,} all lie on one radius, then the necessary and sufficient condition for the existence of an lED with ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2016
ISSN: 0025-584X
DOI: 10.1002/mana.201500458