Results 1 to 10 of about 162 (24)
An extension of the method of brackets. Part 1 [PDF]
Open Mathematics, 2017 The method of brackets is an efficient method for the evaluation of alarge class of definite integrals on the half-line. It is based on a small collection of rules, some of which are heuristic.
Gonzalez Ivan +3 more
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A Fast Approach to Creative Telescoping [PDF]
, 2010 In this note we reinvestigate the task of computing creative telescoping relations in differential-difference operator algebras. Our approach is based on an ansatz that explicitly includes the denominators of the delta parts.
Koutschan, Christoph
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Approximations to -, di- and tri- logarithms [PDF]
, 2004 We propose hypergeometric constructions of simultaneous approximations to polylogarithms. These approximations suit for computing the values of polylogarithms and satisfy 4-term Apery-like (polynomial) recursions.Comment: 11 pages, minor ...
Apéry +13 more
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The q-WZ Method for Infinite Series [PDF]
, 2008 Motivated by the telescoping proofs of two identities of Andrews and Warnaar, we find that infinite q-shifted factorials can be incorporated into the implementation of the q-Zeilberger algorithm in the approach of Chen, Hou and Mu to prove nonterminating
Chen, William Y. C., Xia, Ernest X. W.
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Journal of Ocean Engineering and Science, 2022 This paper systematically investigates the exact solutions to an extended (2+1)-dimensional Boussinesq equation, which arises in several physical applications, including the propagation of shallow-water waves, with the help of the Lie symmetry analysis ...
Sachin Kumar, Setu Rani
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Estimación de la similitud semántica de tareas entre procesos de negocio de telecomunicaciones
Ingeniería y Ciencia, 2012 Como una medida para mejorar la competitividad en el mercado de las telecomunicaciones, actualmente las empresas del sector crean nuevos servicios de valor agregado, con el fin de ampliar su portafolio de servicios y garantizar bien sea la permanencia de
Leandro Ordóñez Ante +2 more
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New conservation laws and exact solutions of the special case of the fifth-order KdV equation
Journal of Ocean Engineering and Science, 2022 The current study deals with the Kaup-Kupershmidt (KK) equation to construct formal Lagrangian, conservation laws, and exact solutions. KK is basically a special case of the 5th-order KdV equation. The conservation laws obtained by using the conservation
Arzu Akbulut +2 more
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Journal of Ocean Engineering and Science, 2022 The physical principles of natural occurrences are frequently examined using nonlinear evolution equations (NLEEs). Nonlinear equations are intensively investigated in mathematical physics, ocean physics, scientific applications, and marine engineering ...
Sachin Kumar, Amit Kumar
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Applicability of the $q$-Analogue of Zeilberger's Algorithm [PDF]
, 2004 The applicability or terminating condition for the ordinary case of Zeilberger's algorithm was recently obtained by Abramov. For the $q$-analogue, the question of whether a bivariate $q$-hypergeometric term has a $qZ$-pair remains open.
Chen, William Y. C. +2 more
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Journal of Ocean Engineering and Science, 2022 The generalized exponential rational function (GERF) method is used in this work to obtain analytic wave solutions to the Kudryashov-Sinelshchikov (KS) equation.
Sachin Kumar +2 more
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