Results 21 to 30 of about 226,240 (293)
High-precision numerical estimates of the Mellin-Barnes integrals for the structure functions based on the stationary phase contour [PDF]
EPJ Web of Conferences, 2019 We present a recipe for constructing the effcient contour which allows one to calculate with high accuracy the Mellin-Barnes integrals, in particular, for the F3 structure function written in terms of its Mellin moments.
Sidorov Alexander +2 more
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Correlation kernels for sums and products of random matrices [PDF]
, 2015 Let $X$ be a random matrix whose squared singular value density is a polynomial ensemble. We derive double contour integral formulas for the correlation kernels of the squared singular values of $GX$ and $TX$, where $G$ is a complex Ginibre matrix and $T$
Claeys, Tom +2 more
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Numerical contour integration for loop integrals [PDF]
Computer Physics Communications, 2006 A fully numerical method to calculate loop integrals, a numerical contour-integration method, is proposed. Loop integrals can be interpreted as a contour integral in a complex plane for an integrand with multi-poles in the plane. Stable and efficient numerical integrations an along appropriate contour can be performed for tensor integrals as well as ...
Kurihara, Y., Kaneko, T.
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A novel proof of two partial fraction decompositions
Advances in Difference Equations, 2021 In this paper, by constructing contour integral and using Cauchy’s residue theorem, we provide a novel proof of Chu’s two partial fraction decompositions.
Jun-Ming Zhu, Qiu-Ming Luo
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Numerical Contour Integration [PDF]
The Mathematica Journal, 2021 We present a straightforward implementation of contour integration by setting options for Integrate and NIntegrate, taking advantage of powerful results in complex analysis. As such, this article can be viewed as documentation to perform numerical contour integration with the existing built-in tools.
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Observables of Macdonald processes [PDF]
, 2013 We present a framework for computing averages of various observables of Macdonald processes. This leads to new contour--integral formulas for averages of a large class of multilevel observables, as well as Fredholm determinants for averages of two ...
Borodin, Alexei +3 more
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Simultaneous Contour Method of a Trigonometric Integral by Prudnikov et al.
Mathematics, 2021 In this present work we derive, evaluate and produce a table of definite integrals involving logarithmic and exponential functions. Some of the closed form solutions derived are expressed in terms of elementary or transcendental functions.
Robert Reynolds, Allan Stauffer
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Anti-Plane Surface Disturbance
International Islamic University Malaysia Engineering Journal, 2012 Solution to a problem of half-space subjected to anti-plane surface disturbance via Cagniard-de Hoop method has been investigated. The solution is very much dependent on the choice of branch cuts, branches, and their behavior along the appropriate ...
M. Azram
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Note on a -Contour Integral Formula of Gasper-Rahman
Abstract and Applied Analysis, 2013 We use the -Chu-Vandermonde formula and transformation technique to derive a more general -integral equation given by Gasper and Rahman, which involves the Cauchy polynomial.
Jian-Ping Fang
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Analysis of Steady Vortex Rings Using Contour Dynamics Method for the Stream Function
한국해양공학회지, 2020 In this study, the Norbury-Fraenkel family of vortex rings is analyzed using a contour dynamics method for the stream function, which significantly reduces the numerical burden in the calculation.
Yoon-Rak Choi
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