Rule: Q[1, 14, 24]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{15}-105\cdot t^{13}+4095\cdot t^{11}-75075\cdot t^9+675675\cdot t^7-2837835\cdot t^5+4729725\cdot t^3-2027025\cdot t$
• $P_3$:
  $t^{39}-\frac{62014200483}{111167107}\cdot t^{37}+\frac{77025650239581}{555835535}\cdot t^{35}-\frac{2257924922559929}{111167107}\cdot t^{33}+\frac{218148698929328706}{111167107}\cdot t^{31}-\frac{14704477212467979090}{111167107}\cdot t^{29}+\frac{714057030915372016950}{111167107}\cdot t^{27}-\frac{25440366598298719932942}{111167107}\cdot t^{25}+\frac{671146402218878058996600}{111167107}\cdot t^{23}-\frac{13142470597984303720313400}{111167107}\cdot t^{21}+\frac{190397855634781563033111000}{111167107}\cdot t^{19}-\frac{2022569676220088829642732000}{111167107}\cdot t^{17}+\frac{15519536456522341833643110750}{111167107}\cdot t^{15}-\frac{84109147324145756985286248750}{111167107}\cdot t^{13}+\frac{311717435617452598314897566250}{111167107}\cdot t^{11}-\frac{754023031254233747019995231250}{111167107}\cdot t^9+\frac{1111063705148282649675579793125}{111167107}\cdot t^7-\frac{895841061297567707935216729125}{111167107}\cdot t^5+\frac{329101417712933649800160519375}{111167107}\cdot t^3-\frac{36802618766800322253517074375}{111167107}\cdot t$

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.