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- W2034372178 abstract "The purpose of this paper is to develop the theory of ordinary, linear <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:math>-difference equations, in particular the homogeneous case; we show that there are many similarities to differential equations. In the second part we study the applications to a <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:math>-analogue of Sato theory. The <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M5><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:math>-Schur polynomials act as basis function, similar to <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M6><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:math>-Appell polynomials. The Ward <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M7><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:math>-addition plays a crucial role as operation for the function argument in the matrix <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M8><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:math>-exponential and for the <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M9><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:math>-Schur polynomials." @default.
- W2034372178 created "2016-06-24" @default.
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- W2034372178 date "2015-02-23" @default.
- W2034372178 modified "2023-09-24" @default.
- W2034372178 title "On Ordinary, Linear q-Difference Equations, with Applications to q-Sato Theory" @default.
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- W2034372178 doi "https://doi.org/10.1155/2015/824549" @default.
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