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.

• $P_1$:
  $2\cdot t^2-1$
• $P_2$:
  $2\cdot t^{50}-25\cdot t^{48}+\frac{1175}{8}\cdot t^{46}-\frac{8625}{16}\cdot t^{44}+\frac{177375}{128}\cdot t^{42}-\frac{678755}{256}\cdot t^{40}+\frac{4010825}{1024}\cdot t^{38}-\frac{9367475}{2048}\cdot t^{36}+\frac{140512125}{32768}\cdot t^{34}-\frac{213624125}{65536}\cdot t^{32}+\frac{264893915}{131072}\cdot t^{30}-\frac{268598725}{262144}\cdot t^{28}+\frac{890616825}{2097152}\cdot t^{26}-\frac{601768125}{4194304}\cdot t^{24}+\frac{659079375}{16777216}\cdot t^{22}-\frac{289994925}{33554432}\cdot t^{20}+\frac{1620559875}{1073741824}\cdot t^{18}-\frac{441970875}{2147483648}\cdot t^{16}+\frac{736618125}{34359738368}\cdot t^{14}-\frac{113806875}{68719476736}\cdot t^{12}+\frac{50075025}{549755813888}\cdot t^{10}-\frac{3700125}{1099511627776}\cdot t^8+\frac{336375}{4398046511104}\cdot t^6-\frac{8125}{8796093022208}\cdot t^4+\frac{625}{140737488355328}\cdot t^2-\frac{1}{281474976710656}$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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