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Hurwitz zeta function


 

In mathematics, the Hurwitz zeta function is one of the many zeta functions. It defined as

Related Topics:
Mathematics - Zeta function

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:zeta(s,q) = sum_{k=0}^infty (k+q)^{-s}.

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When q = 1, this coincides with Riemann's zeta function.

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Hurwitz zeta function: Series representation ►

~ Table of Content ~

►Introduction
►Series representation
►Relation to Dirichlet L-functions
►Hurwitz's formula
►Relation to Bernoulli polynomials
►Relation to the polygamma function
►Relation to the Lerch transcendent
►Functional equation
►Taylor series
►Fourier transform
►Relation to Jacobi theta function
►2 pi^{-s/2} Gamma left( rac {s}{2} ight) zeta(s).

 

 

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