On the Summability of Formal Solutions of Some Linear q-Difference-Differential Equations
キーワード:
q-Difference-differential equations,
Summability,
Formal solutions,
q-Gevrey asymptotics,
q-Laplace transforms
2020 年 63 巻 2 号 p. 259-291
詳細
(t,z) = Σn≥0 Xn(z)tn of some analytic linear q-difference-differential equations in the complex domain: the equation is a q-difference equation with respect to the time variable t and is a partial differential equation with respect to the space variables z. The discussion is done by using a new framework of q-Laplace and q-Borel transforms developed by the author.