Rule: Q[1, 44]

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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^{45}-22\cdot t^{43}+\frac{903}{8}\cdot t^{41}-\frac{1435}{4}\cdot t^{39}+\frac{50635}{64}\cdot t^{37}-\frac{82251}{64}\cdot t^{35}+\frac{3262623}{2048}\cdot t^{33}-\frac{394383}{256}\cdot t^{31}+\frac{9652005}{8192}\cdot t^{29}-\frac{5883955}{8192}\cdot t^{27}+\frac{45894849}{131072}\cdot t^{25}-\frac{8940555}{65536}\cdot t^{23}+\frac{44352165}{1048576}\cdot t^{21}-\frac{10855425}{1048576}\cdot t^{19}+\frac{265182525}{134217728}\cdot t^{17}-\frac{9694845}{33554432}\cdot t^{15}+\frac{67863915}{2147483648}\cdot t^{13}-\frac{5368545}{2147483648}\cdot t^{11}+\frac{4686825}{34359738368}\cdot t^9-\frac{82225}{17179869184}\cdot t^7+\frac{26565}{274877906944}\cdot t^5-\frac{253}{274877906944}\cdot t^3+\frac{23}{8796093022208}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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