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math.CA2024
The rational rank of the support of generalized power series solutions of differential and -difference equations
J. Cano, P. Fortuny Ayuso
Given a differential or -difference equation of order , we prove that the set of exponents of a generalized power series solution has its rational rank bounded by the rat…
math.CA2020★ 1 cited
q-Algebraic Equations, their power series solutions, and the asymptotic behavior of their coefficients
Ph. Barbe, J. Cano, P. Fortuny Ayuso +1
We give a systematic study of q-algebraic equations. The questions of existence, uniqueness and regularity of the solutions are solved in the space of grid-based Hahn series. The r…