Rule: Q[10, 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.

• $P_1$:
  $1024\cdot t^{10}-2304\cdot t^8+1792\cdot t^6-560\cdot t^4+60\cdot t^2-1$
• $P_2$:
  $1024\cdot t^{54}-13568\cdot t^{52}+84864\cdot t^{50}-333200\cdot t^{48}+921200\cdot t^{46}-1906884\cdot t^{44}+3067878\cdot t^{42}-\frac{62891499}{16}\cdot t^{40}+\frac{260932815}{64}\cdot t^{38}-\frac{886163135}{256}\cdot t^{36}+\frac{1240628389}{512}\cdot t^{34}-\frac{5752004349}{4096}\cdot t^{32}+\frac{1382264611}{2048}\cdot t^{30}-\frac{2202509545}{8192}\cdot t^{28}+\frac{1450433115}{16384}\cdot t^{26}-\frac{6285210165}{262144}\cdot t^{24}+\frac{11119987215}{2097152}\cdot t^{22}-\frac{7952684355}{8388608}\cdot t^{20}+\frac{2268783825}{16777216}\cdot t^{18}-\frac{2029964475}{134217728}\cdot t^{16}+\frac{173996955}{134217728}\cdot t^{14}-\frac{44352165}{536870912}\cdot t^{12}+\frac{4032015}{1073741824}\cdot t^{10}-\frac{7888725}{68719476736}\cdot t^8+\frac{593775}{274877906944}\cdot t^6-\frac{23751}{1099511627776}\cdot t^4+\frac{189}{2199023255552}\cdot t^2-\frac{1}{17592186044416}$

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.