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排序方式： 共有910条查询结果，搜索用时 15 毫秒
861.
Giuseppina Barbieri Dikran Dikranjan Chiara Milan Hans Weber 《Mathematische Nachrichten》2008,281(7):930-950
For a recursively defined sequence u : = (un) of integers, we describe the subgroup tu (??) of the elements x of the circle group ?? satisfying limn unx = 0. More attention is dedicated to the sequences satisfying a secondorder recurrence relation. In this case, we show that the size and the free‐rank of tu (??) is determined by the asymptotic behaviour of the ratios qn = (un /un –1) and we extend previous results of G. Larcher, C. Kraaikamp, and P. Liardet obtained from continued fraction expansion. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
862.
一个计算幂和多项式的积分递推公式 总被引：1，自引：1，他引：0
孙哲 《数学的实践与认识》2004,34(12):149-153
历史悠久的幂和问题 ,是迄今仍然颇受关注的一个问题 .以往虽有多种方法 ,但计算阶数较高的幂和公式大都十分繁琐 ,本文方法则消除了这种不足 .本文介绍一个计算幂和多项式的积分递推公式 ,并给出该公式的初等证明和某些应用 . 相似文献
863.
Par Jean-Paul Bzivin 《Mathematische Nachrichten》1998,190(1):31-42
Let q ∈ Q, ∣q∣> 1 and In this paper, we study the arithmetical nature of the values of f at algebraic points. We prove that if α belongs to a quadratic extension ?? of ?, then f(α) ? ??. 相似文献
864.
'Kale Oyedeji Ph. D. 《Journal of Difference Equations and Applications》2013,19(7):679-680
Many linear recurrence relations for combinatorial numbers depending on two indices – like, e.g. the Stirling numbers – can be transformed into a sequence of linear differential equations (of first order) for the corresponding generating functions. In this paper, the most general sequence of such differential equations is considered where the coefficient functions are assumed to be analytic. Using an Ansatz of factoring the sought-for solution into the product of two functions each satisfying a particular associated differential equation, an explicit solution is derived. Some concrete examples are treated. Furthermore, first results for sequences of linear differential equations of second-order are presented and the difficulties of treating the higher order case within the above mentioned method are discussed. 相似文献
865.
866.
Alexander P. Lyapin Sreelatha Chandragiri 《Journal of Difference Equations and Applications》2013,19(7):1052-1061
ABSTRACTWe define a generalized vector partition function and derive an identity for the generating series of such functions associated with solutions to basic recurrence relations of combinatorial analysis. As a consequence we obtain the generating function of the number of generalized lattice paths and a new version of the Chaundy-Bullard identity for the vector partition function. 相似文献
867.
Tibor K. Pogány 《Integral Transforms and Special Functions》2016,27(10):783-793
Introducing the discrete probability distribution by means of the Prabhakar (or the three-parameter Mittag–Leffler) function, we establish explicit expressions for raw and factorial moments and also general fractional-order moments. Applying an elementary moment inequality we obtain functional upper bounds for the Turánian difference for Prabhakar function. Finally, a Laguerre inequality is proved and functional upper bound has been given for Laguerreian difference for Prabhakar function. 相似文献
868.
Cruz Vargas‐De‐León 《Mathematical Methods in the Applied Sciences》2016,39(8):2057-2064
The purpose of this paper is to study the global stability properties of equilibria for age‐dependent epidemiological models in presence of recurrence phenomenon. In these systems, the recurrence rate depends on asymptomatic–infection–age. The models are appropriate for human herpes virus (HSV‐1 and HSV‐2) and varicella‐zoster virus. We derived explicit formulas for the basic reproductive number, which completely characterizes the global behaviour of solutions to the models: if the basic reproductive number is less than or equal to unity, the disease will die out; if the basic reproductive number is greater than unity, the disease will be persistent. Volterra‐type Lyapunov functions are constructed to establish the global asymptotic stability of the infection‐free and endemic steady states. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
869.
《Integral Transforms and Special Functions》2012,23(6):451-459
We construct several expansions of the solutions of the confluent Heun equation in terms of the incomplete Beta functions and the Appell generalized hypergeometric functions of two variables of the first kind. The coefficients of different expansions obey four-, five-, or six-term recurrence relations that are reduced to ones involving less number of terms only in a few exceptional cases. The conditions for deriving finite-sum solutions via termination of the series are discussed. 相似文献
870.