| // Copyright ©2016 The Gonum Authors. All rights reserved. |
| // Use of this source code is governed by a BSD-style |
| // license that can be found in the LICENSE file. |
| |
| package mathext |
| |
| import "gonum.org/v1/gonum/mathext/internal/cephes" |
| |
| // Zeta computes the Riemann zeta function of two arguments. |
| // Zeta(x,q) = \sum_{k=0}^{\infty} (k+q)^{-x} |
| // Note that Zeta returns +Inf if x is 1 and will panic if x is less than 1, |
| // q is either zero or a negative integer, or q is negative and x is not an |
| // integer. |
| // |
| // See http://mathworld.wolfram.com/HurwitzZetaFunction.html |
| // or https://en.wikipedia.org/wiki/Multiple_zeta_function#Two_parameters_case |
| // for more detailed information. |
| func Zeta(x, q float64) float64 { |
| return cephes.Zeta(x, q) |
| } |