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Paper detail

Summability of formal solutions for some generalized moment partial differential equations

The concept of moment differentiation is extended to the class of moment summable functions, giving rise to moment differential properties. The main result leans on accurate upper estimates for the integral representation of the moment derivatives of functions under exponential-like growth at infinity, and appropriate deformation of the integration paths. The theory is applied to obtain summability results of certain family of generalized linear moment partial differential equations with variable coefficients.

preprint2020arXivOpen access
Alberto LastraSlawomir MichalikMaria Suwinska
math.CVmath.AP
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Alberto LastraSlawomir MichalikMaria Suwinska

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