Taylor Series
The digamma has a rational zeta series, given by the Taylor series at z=1. This is
- ,
which converges for |z|<1. Here, is the Riemann zeta function. This series is easily derived from the corresponding Taylor's series for the Hurwitz zeta function.
Read more about this topic: Digamma Function
Famous quotes containing the words taylor and/or series:
“Personality is more important than beauty, but imagination is more important than both of them.”
—Laurette Taylor (1887–1946)
“I thought I never wanted to be a father. A child seemed to be a series of limitations and responsibilities that offered no reward. But when I experienced the perfection of fatherhood, the rest of the world remade itself before my eyes.”
—Kent Nerburn (20th century)
Related Phrases
Related Words