Results 21 to 30 of about 33,546 (278)
Inversion Integrals Involving Jacobi's Polynomials [PDF]
Proceedings of the American Mathematical Society, 1964 These standardizations for 13= 1/2 reduce to the standardized Gegenbauer polynomials used by Buschman when k is an even integer in [2]. Thus the results of [2] are particular cases of those given here when k is an even integer. A generalization, for the case when k is an odd integer in the standardizations used by Buschman, appears to be impossible ...
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Integral Formulae of Bernoulli Polynomials [PDF]
Discrete Dynamics in Nature and Society, 2012 Recently, some interesting and new identities are introduced in (Hwang et al., Communicated). From these identities, we derive some new and interesting integral formulae for the Bernoulli polynomials.
Dae San Kim +4 more
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Integrability of Stochastic Birth-Death processes via Differential Galois Theory [PDF]
, 2019 Stochastic birth-death processes are described as continuous-time Markov processes in models of population dynamics. A system of infinite, coupled ordinary differential equations (the so-called master equation) describes the time-dependence of the ...
Acosta-Humanez, Primitivo B. +2 more
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Integration of polynomials [PDF]
Applicationes Mathematicae, 2004 Summary: We prove that the only functions for which certain standard numerical integration formulas are exact are polynomials.
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An algorithm for analysis of the structure of finitely presented Lie algebras [PDF]
Discrete Mathematics & Theoretical Computer Science, 1997 We consider the following problem: what is the most general Lie algebra satisfying a given set of Lie polynomial equations? The presentation of Lie algebras by a finite set of generators and defining relations is one of the most general mathematical and ...
Vladimir P. Gerdt, Vladimir V. Kornyak
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Double Yang-Baxter deformation of spinning strings
Journal of High Energy Physics, 2020 We study the reduction of classical strings rotating in the deformed three- sphere truncation of the double Yang-Baxter deformation of the AdS 3 ×S 3 ×T 4 background to an integrable mechanical model.
Rafael Hernández, Roberto Ruiz
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An Additive Basis for the Chow Ring of \bar{M}_{0,2}(P^r,2) [PDF]
, 2007 We begin a study of the intersection theory of the moduli spaces of degree two stable maps from two-pointed rational curves to arbitrary-dimensional projective space.
Cox, Jonathan A.
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On a class of three-dimensional integrable Lagrangians [PDF]
, 2004 We characterize non-degenerate Lagrangians of the form $ \int f(u_x, u_y, u_t) dx dy dt $ such that the corresponding Euler-Lagrange equations $ (f_{u_x})_x+ (f_{u_y})_y+ (f_{u_t})_t=0 $ are integrable by the method of hydrodynamic reductions.
Ferapontov, E. V. +2 more
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Classical planar algebraic curves realizable by quadratic polynomial differential systems [PDF]
, 2017 In this paper we show planar quadratic polynomial differentialsystems exhibiting as solutions some famous planar invariant algebraic curves. Also we put particular attention to the Darboux integrability of these differential systems.The author is ...
García, I. A. (Isaac A.), Llibre, Jaume
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q-Selberg Integrals and Koornwinder Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2022 We prove a generalization of the q-Selberg integral evaluation formula. The integrand is that of q-Selberg integral multiplied by a factor of the same form with respect to part of the variables. The proof relies on the quadratic norm formula of Koornwinder polynomials.
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