排序方式: 共有23条查询结果,搜索用时 15 毫秒
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Here expounded is a kind of symbolic operator method that can be used to construct many transformation formulas and summation formulas for various types of power series including some old ones and more new ones. 相似文献
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We present here some results on the applications of linear recursive sequences of order $2$ to the Fermat pseudoprimes, Fibonacci pseudoprimes, and Dickson pseudoprimes. 相似文献
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Let M be an integer matrix with absolute values of all its eigenvalues being greater than 1. We give a characterization of compactly supported M-refinable splines f and the conditions that the shifts of f form a Riesz basis. 相似文献
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Tianxiao HE 《数学研究及应用》2012,32(6):631-640
Here presented is a unified approach to generalized Stirling functions by using generalized factorial functions, k-Gamma functions, generalized divided difference, and the unified expression of Stirling numbers defined in [16]. Previous well-known Stirling functions introduced by Butzer and Hauss [4], Butzer, Kilbas, and Trujilloet [6] and others are included as particular cases of our generalization. Some basic properties related to our general pattern such as their recursive relations, generating functions, and asymptotic properties are discussed,which extend the corresponding results about the Stirling numbers shown in [21] to the defined Stirling functions. 相似文献
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In this paper, we develop the monotone iterative technique for periodic boundary value problems with causal operators. 相似文献
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《Nonlinear Analysis: Theory, Methods & Applications》2005,62(2):301-313
In this paper, differential equations with causal operators in the framework of an arbitrary Banach space are studied. Basic results such as existence, uniqueness and global existence are proved. The theory of cones is employed to investigate the extremal solutions of such equations. 相似文献
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This paper presents an application of polynomial interpolation in the solution of the Chinese Remainder Problem for bother integers and polynomials. 相似文献
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We use Lorentz polynomials to give an efficient way to prove Daubechies’ results on the existence of spline type orthogonal scaling functions and to evaluate a class of Daubechies scaling functions in a unified approach. 相似文献
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Tianxiao He Leetsch C. Hsu Peter J. S. Shiue 《分析论及其应用》2005,21(4):359-369
We present a constructive generalization of Abel-Gontscharoff's series expansion to higher dimensions. A constructive application to a problem of multivariate interpolation is also investigated. In addition, two algorithms for constructing the basis functions of the interpolants are given. 相似文献