dirichlet series 中文意思是什麼
dirichlet series
解釋
狄利克雷級數-
In this paper, we study the convergences of random dirichlet series by the local convergence of random variable and the strong law of large numbers, and obtain some simple and explict formulae on abscissa of convergence
該文是利用隨機變量序列的局部收斂性及強大數定律研究了隨機狄里克萊級數的收斂性,得出了它的收斂橫坐標的簡潔公式 -
Abstract : in this paper, we study the convergences of random dirichlet series by the local convergence of random variable and the strong law of large numbers, and obtain some simple and explict formulae on abscissa of convergence
文摘:該文是利用隨機變量序列的局部收斂性及強大數定律研究了隨機狄里克萊級數的收斂性,得出了它的收斂橫坐標的簡潔公式 -
Dependent convergence of lower side bivalent random dirichlet series
級數的相關收斂性 -
The dependent converge formula of bilataral bivalent random dirichlet series
級數的相關收斂公式 -
Order of growth for random dirichlet series in the complex plane
級數表示的整函數的增長性 -
The regular growth of dirichlet series of finite order in the half plane
級數在水平直線上的增長性 -
The growth and value distribution of random dirichlet series in the right half plane
隨機狄里克萊級數在半平面上的增長性和值分佈 -
In this paper, we first study the growth and regular growth of dirichlet series of finite order by type function in the plane and obtain two necessary and sufficient conditions ; and prove that the growth of random entire functions defined by random dirichlet series of finite order in every horizontal straight line is almost surely equal to the growth of entire functions defined by their corresponding dirichlet series. then we define the hyper - order of dirichlet series of infinite order respectively in the plane or in the right - half plane, study the relations between the hyper - order and regular hyper - order of dirichlet series of infinite order and the cofficients ; obtain the hyper - order of random entire functions defined by random dirichlet series of infinite order in every horizontal straight line is almost surely equal to the hyper - order of entire functions defined by their corresponding dirichlet series
本文首先利用型函數研究了全平面上有限級dirichlet級數的增長性和正規增長性,得到了兩個充要條件;證明了有限級隨機dirichlet級數的增長性幾乎必然與其在每條水平直線上的增長性相同。對于無限級dirichlet級數,分別在右半平面及全平面上定義了其超級的概念,研究了它們的超級和正規超級與其系數間的關系;得到了平面上無限級隨機dirichlet級數的超級幾乎必然與其在每條水平直線上的超級相同。 -
Infinite order dirichlet series on the right half - plane
兩種廣義積分和無窮級數收斂比較 -
The liner growth of 2 - dimension b - valued dirichlet series
級數的線性增長性 -
The relations between the rearrangement of the coefficients of a dirichlet series and the order of growth of this series sum - functions were investigated. the rearrangement characteristics of two type of the dirichlet series2 sum - function with the same order of growth ( = + or = 0 ) were obtained
本文在文[ 7 ]的基礎上研究dirichlet級數的系數的重排與此級數的和函數的增長級的關系,獲得了使兩類dirichlet級數的和的和函數的增長級保持0或+不變的重排的特徵。 -
The rearrangemen characteristics of some power series and dirichlet series with the same orde of growth or type were described
對一些冪級數和dirichlet級數和函數的增長級或型保持不變的重排的特徵作了綜述。 -
The convergence of lower side and bilateral bitangent dirichlet series
級數的迭代級數的收斂性 -
The convergence and growth of lower side bitangent random dirichlet series
級數的收斂性與增長性 -
Convergence of random dirichlet series
隨機狄里克萊級數的收斂性 -
On the convergence of the double random dirichlet series
級數的系數的重排 -
Rearrangement of coeffients for b - valued dirichlet series
級數系數的重排 -
B - valued dirichlet series of finite order in the plane
級數表示的整函數的增長性 -
The entire function expressed by a general random dirichlet series
級數表示的整函數 -
Growth of entire function represented by dirichlet series
級數所表示的整函數的增長性
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