This article is cited in 35 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.

DOI: 10.4213/tmf270

 English version: Theoretical and Mathematical Physics, 2003, 137:2, 1574–1589

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