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91.
Hongming Ding 《Transactions of the American Mathematical Society》2007,359(7):3239-3250
We obtain the differential equation and recurrence relations satisfied by the Laguerre functions on an arbitrary symmetric cone .
92.
J. F. van Diejen 《Transactions of the American Mathematical Society》1999,351(1):233-270
Limiting cases are studied of the Koornwinder-Macdonald multivariable generalization of the Askey-Wilson polynomials. We recover recently and not so recently introduced families of hypergeometric orthogonal polynomials in several variables consisting of multivariable Wilson, continuous Hahn and Jacobi type polynomials, respectively. For each class of polynomials we provide systems of difference (or differential) equations, recurrence relations, and expressions for the (squared) norms of the polynomials in question.
93.
研究OU型Markov过程的常返、暂留性.给出了判断OU型Markov过程常返的一个简单实用的充分条件,说明了Levy过程At的暂留性不能必然地导致由它生成的OU型Markov过程的暂留性. 相似文献
94.
Austen Curtin Christine Austin Alessandro Giuliani Manuel Ruiz Marín Francheska Merced-Nieves Martha M. Tllez-Rojo Robert O. Wright Manish Arora Paul Curtin 《Entropy (Basel, Switzerland)》2021,23(12)
Metabolism and physiology frequently follow non-linear rhythmic patterns which are reflected in concepts of homeostasis and circadian rhythms, yet few biomarkers are studied as dynamical systems. For instance, healthy human development depends on the assimilation and metabolism of essential elements, often accompanied by exposures to non-essential elements which may be toxic. In this study, we applied laser ablation-inductively coupled plasma-mass spectrometry (LA-ICP-MS) to reconstruct longitudinal exposure profiles of essential and non-essential elements throughout prenatal and early post-natal development. We applied cross-recurrence quantification analysis (CRQA) to characterize dynamics involved in elemental integration, and to construct a graph-theory based analysis of elemental metabolism. Our findings show how exposure to lead, a well-characterized toxicant, perturbs the metabolism of essential elements. In particular, our findings indicate that high levels of lead exposure dysregulate global aspects of metabolic network connectivity. For example, the magnitude of each element’s degree was increased in children exposed to high lead levels. Similarly, high lead exposure yielded discrete effects on specific essential elements, particularly zinc and magnesium, which showed reduced network metrics compared to other elements. In sum, this approach presents a new, systems-based perspective on the dynamics involved in elemental metabolism during critical periods of human development. 相似文献
95.
Recurrence formulas for overlap, nuclear attraction, and electron-repulsion integrals over Laguerre Gaussian-type functions are presented. They have been derived using compact recurrence relations for homogeneous solid spherical harmonic operators but are rather lengthy as compared to those over Cartesian Gaussian-type functions. © 1998 John Wiley & Sons, Inc. Int J Quant Chem 66 : 273–279, 1998 相似文献
96.
97.
随机环境中马氏链的常返性和瞬时性 总被引:1,自引:0,他引:1
讨论了随机环境马氏链中具有强π不可约性链的常返性的判定,从而得到了强π不可约链常返性判定的充分必要条件,同时给出了在一定条件下随机环境中的马氏链的瞬时性判定的几个充分条件. 相似文献
98.
The aim of this work is to give some criteria on the convergence of vector valued continued fractions defined by Samelson inverse. We give a new approach to prove the convergence theory of continued fractions. First, by means of the modified classical backward recurrence relation, we obtain a formula between the m-th and n-th convergence of vector valued continued fractions. Second, using this formula, we give necessary and sufficient conditions for the convergence of vector valued continued fractions. 相似文献
99.
Jorge M. V. Capela Marisa V. Capela Clóvis A. Ribeiro 《Journal of mathematical chemistry》2009,45(3):769-775
The aim of this work is to find approaches for the Arrhenius integral by using the n-th convergent of the Jacobi fractions. The n-th convergent is a rational function whose numerator and denominator are polynomials which can be easily computed from three-term
recurrence relations. It is noticed that such approaches are equivalent to the one established by the Gauss quadrature formula
and it can be seen that the coefficients in the quadrature formula can be given as a function of the coefficients in the recurrence
relations. An analysis of the relative error percentages in the approximations is also presented. 相似文献
100.
Larry Ericksen 《Mathematica Slovaca》2009,59(3):261-274
The divisibility of numbers is obtained by iteration of the weighted sum of their integer digits. Then evaluation of the related
congruences yields information about the primality of numbers in certain recursive sequences. From the row elements in generalized
Delannoy triangles, we can verify the primality of any constellation of numbers. When a number set is not a prime constellation,
we can identify factors of their composite numbers. The constellation primality test is proven in all generality, and examples
are given for twin primes, prime triplets, and Sophie Germain primes.
相似文献