Results 11 to 20 of about 2,433,680 (345)
Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : III [PDF]
, 2015 In a previous paper, we presented conjectures of the recurrence relations with constant coefficients for the multi-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson and Askey-Wilson types.
S. Odake
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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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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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On Determinantal recurrence relations of banded matrices
Kuwait Journal of Science, 2021 We provide an algorithm based on a less-known result about recurrence relations for the determinants of banded matrices. As a consequence, we prove recent conjectures on the determinants of particular classes of pentadiagonal matrices and simple ...
Zhibin Du +2 more
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Recurrence relations and Benford’s law [PDF]
Statistical Methods & Applications, 2020 Version 1.0, 24 pages, 1 ...
Madeleine Farris +4 more
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Recent Advances in the Calculation of Dynamical Correlation Functions
Frontiers in Physics, 2020 We review various theoretical methods that have been used in recent years to calculate dynamical correlation functions of many-body systems. Time-dependent correlation functions and their associated frequency spectral densities are the quantities of ...
J. Florencio, O. F. de Alcantara Bonfim
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Recurrence Relations for a Family of Orthogonal Polynomials on a Triangle [PDF]
Lecture Notes in Computational Science and Engineering, 2018 This paper derives sparse recurrence relations between orthogonal polynomials on a triangle and their partial derivatives, which are analogous to recurrence relations for Jacobi polynomials.
S. Olver, Alex Townsend, Geoff Vasil
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New Specific and General Linearization Formulas of Some Classes of Jacobi Polynomials
Mathematics, 2020 The main purpose of the current article is to develop new specific and general linearization formulas of some classes of Jacobi polynomials. The basic idea behind the derivation of these formulas is based on reducing the linearization coefficients which ...
Waleed Mohamed Abd-Elhameed, Afnan Ali
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On a Nonlinear Recurrent Relation [PDF]
Journal of Statistical Physics, 2009 to appear in Journal of Statistical ...
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QScience Connect, 2014 In this paper, we investigate the nature of the solutions to the following difference equation: where the initial values , parameters α, β, B, C are positive and k ∈ {1,2,3,…} is fixed. We study the boundedness nature and global behavior of its solutions. Also, we investigate the analysis of the semi-cycles under special conditions.
Narges Rastegar, Reza Mostafaei
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