34 citations · 140 across the 17 of their papers we have counts for
17 papers
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…
Mellin-Barnes and the method of brackets
Ivan Gonzalez, Igor Kondrashuk, Victor H. Moll +1
The method of brackets is a method for the evaluation of definite integrals based on a small number of rules. This is employed here for the evaluation of Mellin-Barnes integral. Th…
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…
Pochhammer Symbol with Negative Indices. A New Rule for the Method of Brackets
Ivan Gonzalez, Lin Jiu, Victor H. Moll
The method of brackets is a method of integration based upon a small number of heuristic rules. Some of these have been made rigorous. An example of an integral involving the Besse…