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Forward (r,s)-difference operator r,s and solving difference equations
Difference equation Shift exponential formula Particular solution
2008/12/31
Forward (r,s)-difference operator r,s and solving difference equations.
The Homogeneous q-Difference Operator
q-binomial theorem Cauchy polynomials q-Vandermonde identity homogeneous q-difference operator q-Leibniz formula homogeneous Rogers-Szegö polynomials.
2003/6/3
We introduce a q-differential operator Dxy on functions in two variables which turns out to be suitable for dealing with the homogeneous form of the q-binomial theorem as studied by Andrews, Goldman a...