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.

中文翻译：

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一些广义矩偏微分方程形式解的可和性

矩微分的概念被扩展到矩可和函数类，产生了矩微分性质。主要结果依赖于在无穷远指数增长下函数的矩导数的积分表示的准确上估计，以及积分路径的适当变形。应用该理论得到某族变系数广义线性矩偏微分方程的可和性结果。