Functional reduction of Feynman integrals
Journal of High Energy Physics, 2019 A method for reducing Feynman integrals, depending on several kinematic variables and masses, to a combination of integrals with fewer variables is proposed. The method is based on iterative application of functional equations proposed by the author. The
O. V. Tarasov
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Abstract and Applied Analysis, 2019 We establish fractional integral and derivative formulas by using Marichev-Saigo-Maeda operators involving the S-function. The results are expressed in terms of the generalized Gauss hypergeometric functions.
D. L. Suthar, Hafte Amsalu
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Sato-Tate distribution of <i>p</i>-adic hypergeometric functions. [PDF]
Res Number Theory, 2023 Pujahari S, Saikia N.
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Magnetic waves in a stratified medium: dispersion relations and exact solutions
, 2019 We solve for waves in an isothermal, stratified medium with a magnetic field that points along a direction perpendicular to that of gravity and varies exponentially in the direction of gravity. For waves propagating along the magnetic field, we calculate
Mitra, Dhrubaditya, Tripathi, Bindesh
core
Gauss Hypergeometric Functions, Multiple Polylogarithms, and Multiple Zeta Values
Publications of the Research Institute for Mathematical Sciences, 2010 In this article, we express solutions of the Gauss hypergeometric equation as a series of the multiple polylogarithms by using iterated integral. This representation is the most simple case of a semisimple representation of solutions of the formal KZ equation.
openaire +3 more sources
Energy eigenvalues and finite-temperature magnetization for the improved Scarf II potential in the presence of external magnetic and Aharonov-Bohm flux fields. [PDF]
Heliyon, 2023 Eyube ES +6 more
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On branched continued fraction expansions of hypergeometric functions \(F_M\) and their ratios
Modern Mathematical MethodsThe paper investigates the problem of constructing branched continued fraction expansions of hypergeometric functions \(F_M(a_1,a_2,b_1,b_2;a_1,c_2;\mathbf{z})\) and their ratios.
Ivan Nyzhnyk +2 more
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A Generic Formula and Some Special Cases for the Kullback-Leibler Divergence between Central Multivariate Cauchy Distributions. [PDF]
Entropy (Basel), 2022 Bouhlel N, Rousseau D.
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Spectral Decomposition of Discrepancy Kernels on the Euclidean Ball, the Special Orthogonal Group, and the Grassmannian Manifold. [PDF]
Constr Approx, 2023 Dick J +3 more
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