Rule: Q[2, 39]

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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^{41}-\frac{633097315998243674179}{298132551856770427}\cdot t^{39}+\frac{378549460575093139139769}{298132551856770427}\cdot t^{37}-\frac{3135218193437021981977311}{8057636536669471}\cdot t^{35}+\frac{594872018984243412956006190}{8057636536669471}\cdot t^{33}-\frac{76388963026963467523408906140}{8057636536669471}\cdot t^{31}+\frac{6971856665812289374496425792740}{8057636536669471}\cdot t^{29}-\frac{465366984428024780923862358858540}{8057636536669471}\cdot t^{27}+\frac{23094320633233351140319142453761770}{8057636536669471}\cdot t^{25}-\frac{859022160822903833920127463753503250}{8057636536669471}\cdot t^{23}+\frac{23990310936945474534689306196588171750}{8057636536669471}\cdot t^{21}-\frac{501085986642273748631988307967697215250}{8057636536669471}\cdot t^{19}+\frac{7754495575776680695551871432234815729000}{8057636536669471}\cdot t^{17}-\frac{87547550346040817257024283748190205779500}{8057636536669471}\cdot t^{15}+\frac{704783602321980388896678959232121391032500}{8057636536669471}\cdot t^{13}-\frac{3915395000653004171501514109834644441337500}{8057636536669471}\cdot t^{11}+\frac{14320333737984004227544773108839010669489375}{8057636536669471}\cdot t^9-\frac{32149052812002296362347723102610089328689375}{8057636536669471}\cdot t^7+\frac{39634808502789975185269365441115397759968125}{8057636536669471}\cdot t^5-\frac{21980204592058212954982309085536328756034375}{8057636536669471}\cdot t^3+\frac{3464997548449834266605005980309683014181250}{8057636536669471}\cdot t$

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.