Zobrazeno 1 - 10
of 114
pro vyhledávání: '"Kondrashuk, Igor"'
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 problem, in this case this is the temperature $T$. The results obtained her
Externí odkaz:
http://arxiv.org/abs/2307.00634
The Mat\'ern and the Generalized Cauchy families of covariance functions have a prominent role in spatial statistics as well as in a wealth of statistical applications. The Mat\'ern family is crucial to index mean-square differentiability of the asso
Externí odkaz:
http://arxiv.org/abs/2207.11891
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. The fundamental idea is to transform these integral representations into
Externí odkaz:
http://arxiv.org/abs/2108.09421
The Dagum family of isotropic covariance functions has two parameters that allow for decoupling of the fractal dimension and Hurst effect for Gaussian random fields that are stationary and isotropic over Euclidean spaces. Sufficient conditions that a
Externí odkaz:
http://arxiv.org/abs/2106.14353
Autor:
Alvarez, Gustavo, Kondrashuk, Igor
A simple model for QCD dynamics in which the DGLAP integro-differential equation may be solved analytically has been considered in our previous papers arXiv:1611.08787 [hep-ph] and arXiv:1906.07924 [hep-ph]. When such a model contains only one term i
Externí odkaz:
http://arxiv.org/abs/1912.02303
Publikováno v:
Mathematics 10 (2022) 10, 1745
Analytic expressions for the $N$-dimensional Debye function are obtained by the method of brackets. The new expressions are suitable for the analysis of the asymptotic behavior of this function, both in the high and low temperature limits.
Comme
Comme
Externí odkaz:
http://arxiv.org/abs/1908.08667
Autor:
Kondrashuk, Igor
We propose an algorithm to find a solution to an integro-differential equation of the DGLAP type for all the orders in the running coupling $\alpha$ with splitting functions given at a fixed order in $\alpha.$ Complex analysis is significantly used i
Externí odkaz:
http://arxiv.org/abs/1906.07924
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, JHEP {\bf 1003} (2010) 051, JMP {\bf 51} (2010) 052304]. In those papers
Externí odkaz:
http://arxiv.org/abs/1808.08337
In this article we describe the Java library that we have recently constructed to automatize the S-expansion method, a powerful mathematical technique allowing to relate different Lie algebras. An important input in this procedure is the use of abeli
Externí odkaz:
http://arxiv.org/abs/1802.05765
The S-expansion method is a generalization of the In\"{o}n\"{u}-Wigner (IW) contraction that allows to study new non-trivial relations between different Lie algebras. Basically, this method combines a Lie algebra $\mathcal{G}$ with a finite abelian s
Externí odkaz:
http://arxiv.org/abs/1802.04468