34 citations · 140 across the 17 of their papers we have counts for
8 papers · 1 filter
Evaluation of the second virial coefficient for the Mie potential using the method of brackets
Ivan Gonzalez, Igor Kondrashuk, Victor H. Moll +1
The second virial coefficient for the Mie potential is evaluated using the method of brackets. This method converts a definite integral into a series in the parameters of the probl…
Analytic expressions for Debye functions and the heat capacity of a solid
Ivan Gonzalez, Igor Kondrashuk, Victor H. Moll +1
Analytic expressions for the -dimensional Debye function are obtained by the method of brackets. The new expressions are suitable for the analysis of the asymptotic behavior of…
Multi-fold contour integrals of certain ratios of Euler gamma functions from Feynman diagrams: orthogonality of triangles
Ivan Gonzalez, Igor Kondrashuk, Eduardo A. Notte-Cuello +1
We observe a property of orthogonality of the Mellin-Barnes transformation of the triangle one-loop diagrams, which follows from our previous papers [JHEP {\bf 0808} (2008) 106, JH…
Explicit calculation of multi-fold contour integrals of certain ratios of Euler gamma functions. Part 1
Ivan Gonzalez, Bernd A. Kniehl, Igor Kondrashuk +3
In this paper we proceed to study properties of Mellin-Barnes (MB) transforms of Usyukina-Davydychev (UD) functions. In our previous papers [Nuclear Physics B 870 (2013) 243], [Nuc…
The Moments of the Hydrogen Atom by the Method of Brackets
Ivan Gonzalez, Karen T. Kohl, Igor Kondrashuk +2
Expectation values of powers of the radial coordinate in arbitrary hydrogen states are given, in the quantum case, by an integral involving the associated Laguerre function. The me…
A generalized Ramanujan Master Theorem applied to the evaluation of Feynman diagrams
Ivan Gonzalez, V. H. Moll, Ivan Schmidt
Ramanujan Master Theorem is a technique developed by the indian mathematician S. Ramanujan to evaluate a class of definite integrals. This technique is used here to calculate the v…