Rule: Q[1, 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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^3-1\cdot t$
• $P_3$:
  $2\cdot t^{51}-25\cdot t^{49}+147\cdot t^{47}-\frac{1081}{2}\cdot t^{45}+\frac{178365}{128}\cdot t^{43}-\frac{685377}{256}\cdot t^{41}+\frac{2036265}{512}\cdot t^{39}-\frac{4790071}{1024}\cdot t^{37}+\frac{145008513}{32768}\cdot t^{35}-\frac{222945905}{65536}\cdot t^{33}+\frac{70068713}{32768}\cdot t^{31}-\frac{72243795}{65536}\cdot t^{29}+\frac{977699359}{2097152}\cdot t^{27}-\frac{676868787}{4194304}\cdot t^{25}+\frac{381692925}{8388608}\cdot t^{23}-\frac{173996955}{16777216}\cdot t^{21}+\frac{2029964475}{1073741824}\cdot t^{19}-\frac{583401555}{2147483648}\cdot t^{17}+\frac{64822395}{2147483648}\cdot t^{15}-\frac{10855425}{4294967296}\cdot t^{13}+\frac{84672315}{549755813888}\cdot t^{11}-\frac{7153575}{1099511627776}\cdot t^9+\frac{390195}{2199023255552}\cdot t^7-\frac{12285}{4398046511104}\cdot t^5+\frac{2925}{140737488355328}\cdot t^3-\frac{13}{281474976710656}\cdot t$

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.