共查询到20条相似文献,搜索用时 15 毫秒
1.
Let A denote the class of functions f(z) with
f(0)=f′(0)−1=0, 相似文献
2.
Arie Harel Su Namn Jacob Sturm 《Proceedings of the American Mathematical Society》1999,127(2):563-567
It is shown that if is an entire function of order less than one, all of whose zeros are real, then the minimal root of is an increasing function of which accelerates as increases.
3.
On the distribution of zeros of a sequence of entire functions approaching the Riemann zeta function
In this paper we study the distribution of zeros of each entire function of the sequence , which approaches the Riemann zeta function for Rez<−1, and is closely related to the solutions of the functional equations f(z)+f(2z)+?+f(nz)=0. We determine the density of the zeros of Gn(z) on the critical strip where they are situated by using almost-periodic functions techniques. Furthermore, by using a theorem of Kronecker, we also establish a formula for the number of zeros of Gn(z) inside certain rectangles in the critical strip. 相似文献
4.
Zayid Abdulhadi 《Applied mathematics and computation》2009,215(5):1900-1907
In this paper, we prove Radó’s theorem holds for functions of the form is logharmonic. We show that if F is of the form , where is logharmonic, then F is starlike iff ψ(z)=h(z)/g(z) is starlike. In addition, when , where L is logharmonic and H is harmonic, we give the sufficient conditions for F to be locally univalent. 相似文献
5.
《复变函数与椭圆型方程》2012,57(1):33-39
In this article we construct a class of entire functions of arbitrary finite order and with non-zero Taylor coefficients, which is not written in the form of Hadamard's canonical product. Some basic properties of this class are also given. 相似文献
6.
Xiaoling Wang 《Journal of Mathematical Analysis and Applications》2003,278(2):512-526
Let f and g be two distinct permutable transcendental entire functions. Suppose further that q(g)=aq(f)+b for some nonconstant polynomial q(z) and constants a(≠0), . In this article, we will investigate the dynamical properties of f and g and show that they have the same Fatou sets with the same components. 相似文献
7.
A. P. Singh R. Sharma 《分析论及其应用》2005,21(4):370-376
Let f be an entire function. A point zo is called a critical point of f if f'(zo) = 0, and f(zo) is called a critical value (or an algebraic singularity) of f. Next a ∈ (C^) is said to be an asymptotic value (or a transcendental singularity) of f if there exists a curve Γ:[0,1]→(C^) such that limt→1Γ(t)=∞ and limt→1(foΓ)(t)=a. In this paper we find relations between the asymptotic values of f, g and f o g, relations between critical points of f, g and f o g and also in the case when the two functions f and g are semi-conjugated with another entire function. 相似文献
8.
The aim of this paper is two-fold. First, to give a direct proof for the already established result of Styer which states that a univalent geometrically starlike function is a univalent annular starlike function if is bounded. Second, to show that the boundedness condition of is necessary, thus disproving a conjecture of Styer.
9.
M. Obradovi? 《Journal of Mathematical Analysis and Applications》2007,336(2):758-767
Let U(λ) denote the class of all analytic functions f in the unit disk Δ of the form f(z)=z+a2z2+? satisfying the condition
10.
Zhi-Gang Wang 《Applied Mathematics Letters》2012,25(3):454-460
In the present paper, we introduce and investigate a certain subclass of meromorphic close-to-convex functions. Such results as coefficient inequalities, convolution property, distortion property and radius of meromorphic convexity are derived. 相似文献
11.
Yu. N. Frolov 《Mathematical Notes》1997,61(1):100-104
This paper is devoted to the problem of representing entire functions, in spaces described by the order and the type of these
functions, by Lagrange series that converge in the natural topology in these spaces; this topology is stronger than the topology
of compact convergence.
Translated fromMatematicheskie Zametki, Vol. 61, No. 1, pp. 119–124, January, 1997.
Translated by M. A. Shishkova 相似文献
12.
13.
V. Kiryakova 《Applied mathematics and computation》2011,218(3):883-892
In the geometric function theory (GFT) much attention is paid to various linear integral operators mapping the class S of the univalent functions and its subclasses into themselves. In [12] and [13] Hohlov obtained sufficient conditions that guarantee such mappings for the operator defined by means of Hadamard product with the Gauss hypergeometric function. In our earlier papers as [20], [19], [17] and [18], etc., we extended his method to the operators of the generalized fractional calculus (GFC, [16]). These operators have product functions of the forms m+1Fm and m+1Ψm and integral representations by means of the Meijer G- and Fox H-functions. Here we propose sufficient conditions that guarantee mapping of the univalent, respectively of the convex functions, into univalent functions in the case of the celebrated Dziok-Srivastava operator ([8] : J. Dziok, H.M. Srivastava, Classes of analytic functions associated with the generalized hypergeometric function, Appl. Math. Comput.103, No 1 (1999), pp. 1-13) defined as a Hadamard product with an arbitrary generalized hypergeometric function pFq. Similar conditions are suggested also for its extension involving the Wright pΨq-function and called the Srivastava-Wright operator (Srivastava, [36]). Since the discussed operators include the above-mentioned GFC operators and many their particular cases (operators of the classical FC), from the results proposed here one can derive univalence criteria for many named operators in the GFT, as the operators of Hohlov, Carlson and Shaffer, Saigo, Libera, Bernardi, Erdélyi-Kober, etc., by giving particular values to the orders p ? q + 1 of the generalized hypergeometric functions and to their parameters. 相似文献
14.
David A. Cardon 《Proceedings of the American Mathematical Society》2002,130(6):1725-1734
Let be a real entire function of order less than with only real zeros. Then we classify certain distribution functions such that the convolution has only real zeros.
15.
16.
In this paper, we establish the univalence and starlikeness connection between log-biharmonic mappings and logharmonic mappings. 相似文献
17.
B. Bhowmik S. Ponnusamy K.-J. Wirths 《Journal of Mathematical Analysis and Applications》2011,373(2):432-438
We consider the Fekete-Szegö problem with real parameter λ for the class Co(α) of concave univalent functions. 相似文献
18.
19.
G. Christakos P. N. Paraskevopoulos 《Journal of Optimization Theory and Applications》1987,52(2):191-208
Procedures are developed in order to obtain optimal estimates of linear functionals for a wide class of nonstationary spatial functions. These procedures rely on well-established constrained minimum-norm criteria, and are applicable to multidimensional phenomena which are characterized by the so-called hypothesis of inherentity. The latter requires elimination of the polynomial, trend-related components of the spatial function leading to stationary quantities, and also it generates some interesting mathematics within the context of modelling and optimization in several dimensions. The arguments are illustrated using various examples, and a case study computed in detail.The authors acknowledge with appreciation the comments and criticisms made by Dr. L. C. W. Dixon of the Numerical Optimization Centre, Hatfield Polytechnic, Hatfield, Hertfordshire, England. 相似文献
20.
If f(z) is an entire function with ρ
1 > 0 as its exponent of convergence of zeros and if 0 ≤ α < ρ
1, then we prove the existence of entire functions each having α as its exponent of convergence of zeros.
相似文献