Rule: Q[36]

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.

• $P_1$:
  $68719476736\cdot t^{36}-21646635171840\cdot t^{34}+3035940582850560\cdot t^{32}-250971088182312960\cdot t^{30}+13646552919913267200\cdot t^{28}-515839700372721500160\cdot t^{26}+13970658551761207296000\cdot t^{24}-275421554306149515264000\cdot t^{22}+3976398690295033626624000\cdot t^{20}-41973097286447577169920000\cdot t^{18}+321094194241323965349888000\cdot t^{16}-1751422877679948901908480000\cdot t^{14}+6640811744536472919736320000\cdot t^{12}-16857445197669508180869120000\cdot t^{10}+27092322639111709576396800000\cdot t^8-25286167796504262271303680000\cdot t^6+11852891154611372939673600000\cdot t^4-2091686674343183459942400000\cdot t^2+58102407620643984998400000$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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