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Weierstrass elliptic function
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, the Weierstrass elliptic functions are <a href="/facts/Elliptic_function/mF03oI04">elliptic functions</a> that take a particularly simple form. They are named for <a href="/facts/Karl_Weierstrass/4U8vdQzL">Karl Weierstrass</a>. This class of functions is also referred to as ℘-functions and they are usually denoted by the symbol ℘, a uniquely fancy <a href="/facts/Cursive/sbW2bKYq">script</a> <i>p</i>. They play an important role in the theory of elliptic functions, i.e., <a href="/facts/Meromorphic_function/LeNBd6Sh">meromorphic functions</a> that are <a href="/facts/Doubly_periodic_function/r8R5RRAc">doubly periodic</a>. A ℘-function together with its derivative can be used to parameterize <a href="/facts/Elliptic_curve/60jvaHSA">elliptic curves</a> and they generate the field of elliptic functions with respect to a given period lattice. </p>