Rule: Q[40]

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.

• $P_1$:
  $t^{40}-780\cdot t^{38}+274170\cdot t^{36}-57575700\cdot t^{34}+8074991925\cdot t^{32}-801039198960\cdot t^{30}+58075341924600\cdot t^{28}-3136068463928400\cdot t^{26}+127402781347091250\cdot t^{24}-3907018627977465000\cdot t^{22}+90252130306279441500\cdot t^{20}-1558900432563008535000\cdot t^{18}+19875980515178358821250\cdot t^{16}-183470589370877158350000\cdot t^{14}+1192558830910701529275000\cdot t^{12}-5247258856007086728810000\cdot t^{10}+14757915532519931424778125\cdot t^8-24307154994738710581987500\cdot t^6+20255962495615592151656250\cdot t^4-6396619735457555416312500\cdot t^2+319830986772877770815625$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Hermite (probabilists') type can be downloaded here packed into a single file.