Email this article A generalization of the Dotsenko-Fateev integral
- Authors: Golubeva V.A.1, Ivanov A.N.2
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Affiliations:
- Moscow Aviation Institute (National Research University)
- National Research University “Higher School of Economics,”
- Issue: Vol 94, No 3 (2016)
- Pages: 673-675
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224571
- DOI: https://doi.org/10.1134/S1064562416060223
- ID: 224571
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Abstract
The Dotsenko-Fateev integral, an analytic function of one complex variable arising in conformal field theory, is generalized in a natural way to an analytic function of two complex variables. A system of partial differential equations and a Pfaffian system of Fuchsian type are derived for this generalized Dotsenko- Fateev integral. The Fuchsian system permits to obtain local expansions of solutions in the neighborhoods of singularities of the system.
About the authors
V. A. Golubeva
Moscow Aviation Institute (National Research University)
Author for correspondence.
Email: goloubeva@yahoo.com
Russian Federation, Moscow
A. N. Ivanov
National Research University “Higher School of Economics,”
Email: goloubeva@yahoo.com
Russian Federation, Moscow
