Reduction of the Appell's System of Partial Differential Equations to the System of Total Differential Equations

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Abstract

In this paper it is shown that the Appell's system of partial differential equations, with two complex variables x and y, reduces to the system of total differential equations. Also, it is obtained the differential equation on the section y=const.

Keywords:

Reduction;Appell's system;system of total differential equations
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Reduction of the Appell’s System of Partial Differential Equations to the System of Total Differential Equations. (2020). Journal of Partial Differential Equations, 12(4), 345-356. https://www.global-sci.com/index.php/jpde/article/view/3924