Rule: Q[2, 19]

Type

Polynomials

One starts from the polynomial $P_1$ and extends one by one with $P_{\mathrm{i}}$ until the final polynomial defining this rule is reached.
Note: Polynomials might be truncated due to size! The complete polynomials are included in the download.

• $P_1$:
  $2\cdot t^2-1$
• $P_2$:
  $2\cdot t^{21}-11\cdot t^{19}+26\cdot t^{17}-\frac{69}{2}\cdot t^{15}+\frac{3605}{128}\cdot t^{13}-\frac{3731}{256}\cdot t^{11}+\frac{2431}{512}\cdot t^9-\frac{957}{1024}\cdot t^7+\frac{3333}{32768}\cdot t^5-\frac{335}{65536}\cdot t^3+\frac{5}{65536}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Chebyshev T (first kind) type can be downloaded here packed into a single file.