Article ; Online: A First Order q-Difference System for the BC_1-Type Jackson Integral and Its Applications
Symmetry, Integrability and Geometry : Methods and Applications, Vol 5, p
2009 Volume 041
Abstract: We present an explicit expression for the q-difference system, which the BC_1-type Jackson integral (q-series) satisfies, as first order simultaneous q-difference equations with a concrete basis. As an application, we give a simple proof for the ... ...
Abstract | We present an explicit expression for the q-difference system, which the BC_1-type Jackson integral (q-series) satisfies, as first order simultaneous q-difference equations with a concrete basis. As an application, we give a simple proof for the hypergeometric summation formula introduced by Gustafson and the product formula of the q-integral introduced by Nassrallah-Rahman and Gustafson. |
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Keywords | q-difference equations ; Jackson integral of type BC_1 ; Gustafson's C_n-type sum ; Nassrallah-Rahman integral ; Mathematics ; QA1-939 ; Science ; Q ; DOAJ:Mathematics ; DOAJ:Mathematics and Statistics |
Language | English |
Publishing date | 2009-04-01T00:00:00Z |
Publisher | National Academy of Science of Ukraine |
Document type | Article ; Online |
Database | BASE - Bielefeld Academic Search Engine (life sciences selection) |
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