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This article is cited in 32 scientific papers (total in 32 papers)
Hypergeometric Functions Related to Schur $Q$-Polynomials and the $B$KP Equation
A. Yu. Orlov P. P. Shirshov institute of Oceanology of RAS
Abstract:
We introduce hypergeometric functions related to projective Schur functions $Q_{\lambda}$ and describe their properties. Linear equations, integral representations, and Pfaffian representations are obtained. These hypergeometric functions are vacuum expectations of free fermion fields and are therefore tau functions of the so-called $B$KP hierarchy of integrable equations.
Keywords:
projective Schur functions, hypergeometric functions, soliton theory.
Citation:
A. Yu. Orlov, “Hypergeometric Functions Related to Schur $Q$-Polynomials and the $B$KP Equation”, TMF, 137:2 (2003), 253–270; Theoret. and Math. Phys., 137:2 (2003), 1574–1589
Linking options:
https://www.mathnet.ru/eng/tmf270https://doi.org/10.4213/tmf270 https://www.mathnet.ru/eng/tmf/v137/i2/p253
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Abstract page: | 420 | Full-text PDF : | 203 | References: | 51 | First page: | 1 |
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