Highly accurate calculation of radial spheroidal functions

A new method for calculating the radial spheroidal functions of the first kind is proposed for the arguments that are greater than unity in modulus. A well-known representation of these functions is refined and used for this purpose. The constructs and the software implementation proposed in the paper provide an efficient tool for the calculation of the functions with a desired accuracy in a wide range of parameters.     

豫西丘陵区不同氮、钾肥用量配施对豫麦47号品质和产量的影响

在该试验条件下 ,豫麦 47号的湿面筋含量平均为 2 8.3%,吸水率、面团形成时间、稳定时间分别为 6 3.2 %、3.9分钟和 4.2分钟 ,与豫麦 47号适生区栽培条件下均有较大差异。氮肥可有效提高豫麦 47号的冬前分蘖、亩有效穗数和湿面筋含量 ,钾肥可提高亩穗数和千粒重。     

有限时滞微分系统依照双测度的实际稳定性

本文对具有有限时滞的泛函微分方程建立了关于依照两种测度的实际稳定性的Razumikhin型判定定理，其中未采用通常的辅助函数，且可运用多个含有状态变量x的部分变元的Lyapunov函数，得出部分变远实际稳定性的判定定理，从而改进了已有的结果。     

On a result of Ozawa concerning uniqueness of meromorphic functions

In this paper we prove a uniqueness theorem for meromorphic functions sharing three values with some weight which improves some known results.     

Laguerre expansion on the Heisenberg group and Fourier-Bessel transform on C~n Dedicated to Professor Sheng GONG on the occasion of his 75th birthday

Given a principal value convolution on the Heisenberg group Hn = Cn×R, we study the relation between its Laguerre expansion and the Fourier-Bessel expansion of its limit on Cn. We also calculate the Dirichlet kernel for the Laguerre expansion on the group Hn.     

累次极限换序的一个充分条件

本文对于二元函数的累次极限的换序给出了一致收敛这一充分条件。     

关于高等教育职能取向问题的思考

随着高等教育的发展，高等教育的职能由原来单一的 教学职能发展到今天的教学、科研和社会服务等多种职能。在职能扩展的同时，高等教育职能的价值取向，也发生了从宗教化、神学化、精神化到世俗化、物质化、实用化的转变，这种取向上的变化有其深刻的历史必然性。但在目前高等教育职能价值取向转变的过程中，出现了一些偏差。只有纠正这种取向上的偏差，高等教育才能全面地完整地发挥自身的职能。     

稻砂土吸附铜镍铅砷能力的比较

通过对砂壤水稻土中Cu,Ni,Pb,As4种元素的单元及复合吸附试验,表明其吸附热力学符合Freundlich方程,吸附能力为Pb Cu>As>Ni.共存元素对土壤吸附某一元素的能力影响不大;用Langmuir方程粗略地估算出这4种元素在土壤中的化学容量.     

例析五华话的量词重叠

五华话的量词重叠形式颇有特色,有"从"形式、"一AA哩"形式、"A实A哩"形式。三种重叠形式在句法功能和语法意义方面有一定的差异。     

Propriétés statistiques des entiers friables

Let Ψ(x,y) (resp. Ψ_m(x,y)) denote the number of integers not exceeding x that are y-friable, i.e. have no prime factor exceeding y (resp. and are coprime to m). Evaluating the ratio Ψ_m(x/d,y)/Ψ(x,y) for 1≤slantd≤slantx, m≥slant 1, x≥slant y≥slant 2, turns out to be a crucial step for estimating arithmetic sums over friable integers. Here, it is crucial to obtain formulae with a very wide range of validity. In this paper, several uniform estimates are provided for the aforementioned ratio, which supersede all previously known results. Applications are given to averages of various arithmetic functions over friable integers which in turn improve corresponding results from the literature. The technique employed rests mainly on the saddle-point method, which is an efficient and specific tool for the required design.2000 Mathematics Subject Classification: Primary—11N25; Secondary—11K65, 11N37