共查询到20条相似文献,搜索用时 3 毫秒
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Mathematical Notes - 相似文献
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In the present paper three new expansion formulae are givenfor a function of several variables, which is defined by a multiplepower series with arbitrary terms. It is also indicated howthese general results can be applied to derive various knownor new multiplication theorems for certain hypergeometric functionsof one and more variables. 相似文献
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An upper bound for the best approximation of summable functions of several variables by trigonometric polynomials in the metric of L is determined in terms of Fourier coefficients. We consider functions representable by trigonometric series with certain symmetry of coefficients satisfying a multiple analog of the Sidon–Telyakovskii conditions. 相似文献
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An analog of the classical Fourier formula for the characteristic function of a convex compact set
is considered:
where W is a polyhedral in
. Bibliography: 6 titles. 相似文献
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p-adic Transcendence and p-adic Transcendence Measures for the Values of Mahler Type Functions 总被引:2,自引:0,他引:2
Tian Qin WANG 《数学学报(英文版)》2006,22(1):187-194
We prove the p-adic transcendence and p-adic transcendence measures for the values of some Mahler type functions. 相似文献
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《复变函数与椭圆型方程》2012,57(3):259-269
In this paper we study the extension theorems for solutions of inhomogeneous Cauchy-Fueter system. In particular cases, we obtain the extension theorems for regular functions of several quaternionic variables. At the end of the paper we give some applications of these theorems. 相似文献
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研究了涉及分担函数的正规定则,证明了:设F为定义在区域D内的一族亚纯函数,n,k是两个正整数,满足n≥k+3.如果对于F中任意一个函数f,(fn)(k)-z至多有一个不同的零点,则F在D内正规.此结论说明在(fn)(k)具有不动点的情形下,1990年杨乐在Notre Dame大学举行的学术会议上提出的断言仍然成立. 相似文献
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Convergent sums and , where P(X), Q(X) Q[X], and Q(X)has only simple rational roots, are investigated. Adhikari,Shorey and the authors have shown that T and U are either rationalor transcendental. Simple necessary and sufficient conditionsare formulated for the transcendence of T and U if the degreeof Q is 3 and 2, respectively. 相似文献
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V. V. Khlobystov 《Journal of Mathematical Sciences》2001,104(6):1677-1681
By using earlier results, we find solutions of two extremal problems on sets of interpolation polynomials for functions of several variables. 相似文献
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Bloch Functions in Several Complex Variables, I 总被引:8,自引:0,他引:8
Bloch functions on the unit disk are those analytic functionsf for which the quantity |f'(z)|(1 |z|2) is bounded(for z in the disk). In this paper, Bloch functions on boundedhomogeneous domains in complex m-space are studied. The mainresult shows that many of the equivalent definitions of Blochfunctions on the unit disk are also equivalent in the generalsetting.
Current Address: 39 Trinity College, Dublin 2, Ireland. 相似文献
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Ricardo Estrada 《Proceedings of the American Mathematical Society》1998,126(3):761-768
The existence of rapidly decreasing smooth solutions of moment problems for functions of several variables with values in a Fréchet space is obtained. It is shown that the corresponding results for functions with values in a general topological vector space do not hold.
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We study the approximation of the classes
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of periodic functions of several variables by multiple Fourier sums of fixed order constructed with regard to individual properties of functions from these classes. In a number of cases, such approximations allow us to achieve a better degree of approximation of the classes indicated above as compared to their approximation by staircase hyperbolic Fourier sums. 相似文献
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A new class of non-isolated singularities called hyperplane singularities is introduced. Special deformations with simplest critical points are constructed and an algebraic expression for the number of Morse points is given. The topology of the Milnor fibre is completely studied. 相似文献