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theta functions

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theta functions [′thād·ə ‚fəŋk·shənz]
(mathematics)
Complex functions used in the study of Riemann surfaces and of elliptic functions and elliptic integrals; they are:whereq= exp πiτ, and τ is a constant complex number with positive imaginary part.


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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.
Mock theta functions are mysterious functions and not much is known about them.
He called them mock theta functions because they had some properties similar to those of theta functions.
 
 
 
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