Rule: Q[2, 48]

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.

• $P_1$:
  $4\cdot t^2-1$
• $P_2$:
  $4\cdot t^{50}-49\cdot t^{48}+282\cdot t^{46}-\frac{16215}{16}\cdot t^{44}+\frac{163185}{64}\cdot t^{42}-\frac{1221759}{256}\cdot t^{40}+\frac{1764763}{256}\cdot t^{38}-\frac{16112057}{2048}\cdot t^{36}+\frac{118030185}{16384}\cdot t^{34}-\frac{350343565}{65536}\cdot t^{32}+\frac{52978783}{16384}\cdot t^{30}-\frac{419014011}{262144}\cdot t^{28}+\frac{676868787}{1048576}\cdot t^{26}-\frac{890616825}{4194304}\cdot t^{24}+\frac{237268575}{4194304}\cdot t^{22}-\frac{405992895}{33554432}\cdot t^{20}+\frac{1101980715}{536870912}\cdot t^{18}-\frac{583401555}{2147483648}\cdot t^{16}+\frac{29464725}{1073741824}\cdot t^{14}-\frac{141120525}{68719476736}\cdot t^{12}+\frac{30045015}{274877906944}\cdot t^{10}-\frac{4292145}{1099511627776}\cdot t^8+\frac{94185}{1099511627776}\cdot t^6-\frac{8775}{8796093022208}\cdot t^4+\frac{325}{70368744177664}\cdot t^2-\frac{1}{281474976710656}$

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.