TY - JOUR
T1 - Reduction of the Appell's System of Partial Differential Equations to the System of Total Differential Equations
JO - Journal of Partial Differential Equations
VL - 4
SP - 345
EP - 356
PY - 1999
DA - 1999/12
SN - 12
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5547.html
KW - Reduction
KW - Appell's system
KW - system of total differential equations
AB -  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.