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math.AP2018
A note on -summability of formal solutions of some linear -difference-differential equations
Hidetoshi Tahara, Hiroshi Yamazawa
The paper discusses the summability of formal solutions of some linear q-difference-differential equations, and improves the previous result in [Tahara-Yamazawa, Opsucula Math. 35…
math.CV2018
Maillet type theorem for nonlinear totally characteristic partial differential equations
Alberto Lastra, Hidetoshi Tahara
The paper discusses a holomorphic nonlinear singular partial differential equation under the assumpt…
math.AP2018
On the summability of formal solutions of some linear q-difference-differential equations
Hidetoshi Tahara
The paper shows the summability of formal solutions of some linear q-difference-differential equations by using q-Laplace and q-Borel summation method.