Results 1 to 10 of about 476,219 (229)
Computing recurrence coefficients of multiple orthogonal polynomials [PDF]
Numerical Algorithms 70 (2015), no. 3, 519-543, 2014 Multiple orthogonal polynomials satisfy a number of recurrence relations, in particular there is a $(r+2)$-term recurrence relation connecting the type II multiple orthogonal polynomials near the diagonal (the so-called step-line recurrence relation) and there is a system of $r$ recurrence relations connecting the nearest neighbors (the so-called ...
Filipuk, Galina +2 more
arxiv +3 more sources
On a nonlinear recurrent relation [PDF]
Journal of Statistical Physics, 2009 We study the limiting behavior for the solutions of a nonlinear recurrent relation which arises from the study of Navier-Stokes equations. Some stability theorems are also shown concerning a related class of linear recurrent relations.
arxiv +5 more sources
Equivalence of recurrence relations for Feynman integrals with the same total number of external and loop momenta [PDF]
, 2000 We show that the problem of solving recurrence relations for L-loop (R+1)-point Feynman integrals within the method of integration by parts is equivalent to the corresponding problem for (L+R)-loop vacuum or (L+R-1)-loop propagator-type integrals.
P.A. Baikov, Vladimir A. Smirnov
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Recurrence relations for the midpoint method
Tamkang Journal of Mathematics, 2000 In this paper, we present a new convergence analysis and error estimates for the Midpoint method in Banach spaces by using Newton-Kantorovich-type assumptions and a technique based on a new system of recurrence relations. Finally, we give three examples where we improve the error bounds are better given by other authors.
J.A. Ezquerro +2 more
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Variations on topological recurrence [PDF]
arXiv, 2014 Recurrence properties of systems and associated sets of integers that suffice for recurrence are classical objects in topological dynamics. We describe relations between recurrence in different sorts of systems, study ways to formulate finite versions of recurrence, and describe connections to combinatorial problems. In particular, we show that sets of
Host, Bernard +2 more
arxiv +3 more sources
QED amplitudes: recurrence relations to all orders [PDF]
, 2006 We describe the origins of recurrence relations between field theory amplitudes in terms of the construction of Feynman diagrams. In application we derive recurrence relations for the amplitudes of QED which hold to all loop orders and for all ...
Anton Ilderton
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Morphic Words and Nested Recurrence Relations [PDF]
arXiv, 2013 We explore a family of nested recurrence relations with arbitrary levels of nesting, which have an interpretation in terms of fixed points of morphisms over a countably infinite alphabet. Recurrences in this family are related to a number of well-known sequences, including Hofstadter's G sequence and the Conolly and Tanny sequences.
Marcel Celaya, Frank Ruskey
arxiv +3 more sources
Recurrence Relations and Determinants
, 2011 We examine relationships between two minors of order n of some matrices of n rows and n+r columns. This is done through a class of determinants, here called $n$-determinants, the investigation of which is our objective. We prove that 1-determinants are the upper Hessenberg determinants.
Milan Janjić
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Fractal and Fractional, 2021 The purpose of this paper is to develop some new recurrence relations for the two parametric Mittag-Leffler function. Then, we consider some applications of those recurrence relations.
Dheerandra Shanker Sachan +2 more
doaj +1 more source
Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : II [PDF]
, 2015 In a previous paper we presented $3+2M$ term recurrence relations with variable dependent coefficients for $M$-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson and Askey-Wilson types.
Odake, Satoru
core +10 more sources