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Elliptic functions

   Also found in: Encyclopedia, Wikipedia 0.03 sec.
a large and important class of functions, so called because one of the forms expresses the relation of the arc of an ellipse to the straight lines connected therewith.

See also: Function



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The close connection between q-calculus on the one hand, and elliptic functions and theta functions on the other hand will be shown.
In chapter nine, for example, Hodges states: "By about 20 [years old], it is possible to catch up with current knowledge in one small area - for instance, in the heartland of mystery and discovery to which elliptic functions are the doorway.
Reduction of the doubly periodic Weierstrass function p to a set of single periodic Jacobian elliptic functions is based on the following relationship between p and cn, sn with modulus M: [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] Moreover, (cf.
 
 
 
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