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Weierstrass elliptic function
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{{short description|Class of mathematical functions}} {{Redirect|P-function|the phase-space function representing a quantum state|Glauber–Sudarshan P representation}} In [[mathematics]], the '''Weierstrass elliptic functions''' are [[elliptic function]]s that take a particularly simple form. They are named for [[Karl Weierstrass]]. This class of functions is also referred to as '''℘-functions''' and they are usually denoted by the symbol ℘, a uniquely fancy [[Cursive|script]] ''p''. They play an important role in the theory of elliptic functions, i.e., [[meromorphic function]]s that are [[Doubly_periodic_function|doubly periodic]]. A ℘-function together with its derivative can be used to parameterize [[elliptic curve]]s and they generate the field of elliptic functions with respect to a given period lattice. <div class="thumb tright"> <div style="width:131px;"> [[Image:Weierstrass p.svg|100px|Symbol for Weierstrass P function]]<div class="thumbcaption"> Symbol for Weierstrass <math>\wp</math>-function </div> </div> </div> [[File:Modell der Weierstraßschen p-Funktion -Schilling, XIV, 7ab, 8 - 313, 314-.jpg|thumb|right|Model of Weierstrass <math>\wp</math>-function]]
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