As an example, the function es+t − eset = 0 on the real numbers . By the principle of permanence for functions of two variables, this implies that es+t − eset = 0 for all complex numbers as well , thus proving one of the laws of exponents for complex exponents .Gamelin, T. Complex Analysis, UTM Series, Springer-Verlag, 2001c
As an example, the equation es+t − eset = 0 hold for all real numbers s, t . By the principle of permanence for functions of two variables, this suggests that it holds for all complex numbers as well .Gamelin, T. Complex Analysis, UTM Series, Springer-Verlag, 2001c
R
function
equation
R
on the real numbers
hold for all real numbers s, t
R
implies that es+t − eset = 0
suggests that it holds
D
, thus proving one of the laws of exponents for complex exponents