Rule: Q[3, 18]

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.

• $P_1$:
  $4\cdot t^3-3\cdot t$
• $P_2$:
  $4\cdot t^{21}-21\cdot t^{19}+\frac{189}{4}\cdot t^{17}-\frac{119}{2}\cdot t^{15}+\frac{735}{16}\cdot t^{13}-\frac{5733}{256}\cdot t^{11}+\frac{7007}{1024}\cdot t^9-\frac{1287}{1024}\cdot t^7+\frac{2079}{16384}\cdot t^5-\frac{385}{65536}\cdot t^3+\frac{21}{262144}\cdot t$

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.