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Legendre chi function
In mathematics, the Legendre chi function (named after Adrien-Marie Legendre) is a special function whose Taylor series is also a Dirichlet series, given by χ ν ( z ) = ∑ k = 0 ∞ z 2 k + 1 ( 2 k + 1 ) ν . {\displaystyle \chi _{\nu }(z)=\sum _{k=0}^{\infty }{\frac {z^{2k+1}}{(2k+1)^{\nu }}}.}
Special Values & Overview