Results 21 to 30 of about 16,555,549 (335)
Some metrics admitting nonpolynomial first integrals of the geodesic equation
Physics Letters B, 2021 It is commonly known that Killing vectors and tensors are in one–to–one correspondence with polynomial first integrals of the geodesic equation. In this work, metrics admitting nonpolynomial first integrals of the geodesic equation are constructed, each ...
Anton Galajinsky
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A study of Feynman integrals with uniform transcendental weights and their symbology
Journal of High Energy Physics, 2022 Multi-loop Feynman integrals are key objects for the high-order correction computations in high energy phenomenology. These integrals with multiple scales may have complicated symbol structures, and we show that twistor geometries of closely related dual
Song He +5 more
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An approach to quantum 2D gravity
Physics Letters B, 2023 We consider a model of 2D gravity with the action quadratic in curvature and represent path integrals as integrals over the SL(2,R) invariant Gaussian functional measure.
Vladimir V. Belokurov +1 more
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Kyushu Journal of Mathematics, 1995 The Bohr-Mollerup theorem asserts that the gamma function \(\Gamma (a)\) is the only function defined for \(a > 0\) such that (i) \(\Gamma (a) > 0\), (ii) \(\Gamma (1) = 1\), (iii) \(a \Gamma (a) = \Gamma (a + 1)\), and (iv) \(\Gamma (a)\) is logarithmically convex. The authors use this to prove the well-known result (1) \(\zeta' (0,a) = \log \Gamma (a)
Choi, Junesang, Nam, Young Man
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Hamiltonisation, measure preservation and first integrals of the multi-dimensional rubber Routh sphere [PDF]
Theoretical and Applied Mechanics, 2019 We consider the multi-dimensional generalisation of the problem of a sphere, with axi-symmetric mass distribution, that rolls without slipping or spinning over a plane. Using recent results from Garc?a-Naranjo [21] and Garc?a-Naranjo and Marrero [22], we
Luis C. Garc'ia-Naranjo
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Organizational Dynamics, 2013 Senior-level executives identify integrity as the most important characteristic for effective leaders and followers. We agree that integrity is vital, but not the only important ethical issue in leadership. We set forth an ethical framework as the basis for examining ethical leadership and followership in organizations.
James Campbell Quick, John L. Goolsby
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Two-loop amplitudes and master integrals for the production of a Higgs boson via a massive quark and a scalar-quark loop [PDF]
, 2006 We compute all two-loop master integrals which are required for the evaluation of next-to-leading order QCD corrections in Higgs boson production via gluon fusion.
Anastasiou, Charalampos +4 more
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Some remarks on meromorphic first integrals [PDF]
, 2011 We give a simple proof, with some complements, of a result of Cerveau and Lins Neto, concerning the existence of meromorphic first integrals for germs of codimension one foliations with an invariant real hypersurface.Comment: 9 pages, 1 ...
Brunella, Marco
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The Kepler Problem: Polynomial Algebra of Nonpolynomial First Integrals [PDF]
Regulârnaâ i haoticeskaâ dinamika, 2019 The sum of elliptic integrals simultaneously determines orbits in the Kepler problem and the addition of divisors on elliptic curves. Periodic motion of a body in physical space is defined by symmetries, whereas periodic motion of divisors is defined by ...
A. Tsiganov
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Monotonicity and sharp inequalities related to complete $(p,q)$-elliptic integrals of the first kind
Comptes Rendus. Mathématique, 2020 With the aid of the monotone L’Hôpital rule, the authors verify monotonicity of some functions involving complete $(p,q)$-elliptic integrals of the first kind and the inverse of generalized hyperbolic tangent function, derive several sharp inequalities ...
Wang, Fei, Qi, Feng
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