(
maths) an infinite sum giving the value of a function f(
z) in the neighbourhood of a point
a in terms of the derivatives of the function evaluated at
a. Under certain conditions, the series has the form
f(
z) =
f(
a) + [
f′(
a)(
z –
a)]/1! + [
f″(
a)(
z –
a)²]/2! + …
See also Maclaurin's series