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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 137, Number 2, Pages 253–270
DOI: https://doi.org/10.4213/tmf270 (Mi tmf270) 		 
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
Full-text PDF (315 kB) Citations (32)
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DOI: https://doi.org/10.4213/tmf270
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.
English version:
Theoretical and Mathematical Physics, 2003, Volume 137, Issue 2, Pages 1574–1589
DOI: https://doi.org/10.1023/A:1027370004436
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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\by A.~Yu.~Orlov
\paper Hypergeometric Functions Related to Schur $Q$-Polynomials and the $B$KP Equation
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\issue 2
\pages 253--270
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\zmath{https://zbmath.org/?q=an:1178.33015}
\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 137
\issue 2
\pages 1574--1589
\crossref{https://doi.org/10.1023/A:1027370004436}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000187431800010}
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  • https://doi.org/10.4213/tmf270
  • https://www.mathnet.ru/eng/tmf/v137/i2/p253
    • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:52
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