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...period is pure imaginary and equal to {{math|''iω''₁}}. In more algebraic terms, the [[period lattice]] is a real multiple of the [[Gaussian integer] [[Category:Elliptic curves]] ...

...less |first3=James H. |last3=Davenport |first4=D.J. |last4= Jeffrey |title=Algebraic properties of the Lambert ''W'' function from a result of Rosenlicht and of ...e image of a small circle around the point {{math|''z'' {{=}} 0}}; the red curves are the image of a small circle around the point {{math|''z'' {{=}} −{{sfra ...

{{Algebraic curves navbox}} ...

...ny continuous extensions of the factorial to non-integers: infinitely many curves can be drawn through any set of isolated points. The gamma function is the ...oved that <math>\Gamma (n + r)</math> is a [[transcendental number]] and [[algebraic independence|algebraically independent]] of <math>\pi</math> for any intege ...

An ellipse has a simple algebraic solution for its area, but only approximations for its perimeter, for which ...pse.<ref name="Lawrence">Lawrence, J. Dennis, ''A Catalog of Special Plane Curves'', Dover Publ., 1972.</ref>{{rp|p.63}} ...

...an quadrature on the line and quadrature with few nodes on plane algebraic curves, on the plane and in higher dimensions ...

...log_''b'' ''b'' {{=}} 1}} are indicated by dotted lines, and all curves intersect {{nowrap|in {{math|1= log_''b'' 1 = 0.}}}}]] ...matics)|function]] that extended the realm of analysis beyond the scope of algebraic methods. The method of logarithms was publicly propounded by [[John Napier] ...

...c function]]s. This can be seen by transformation of Mathieu's equation to algebraic form, using the change of variable <math>t=\cos(x)</math>: The constant <math>\mu</math> curves are [[Confocal conic sections|confocal ellipses]] with focal length <math>c ...

...]]. Polylogarithm ladders occur naturally and deeply in [[K-theory]] and [[algebraic geometry]]. Polylogarithm ladders provide the basis for the rapid computati ...| last2= Emde | first2= F. | title= Tables of Functions with Formulae and Curves | edition= 4th | location= New York | publisher= Dover Publications | year= ...