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LerchPhi






Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > LerchPhi[z,s,a] > Series representations > Generalized power series > Expansions at z==z0 > For Phi^(z,s,a)





http://functions.wolfram.com/10.06.06.0021.01









  


  










Input Form





LerchPhiClassical[z, s, a] \[Proportional] LerchPhiClassical[Subscript[z, 0], s, a] + ((LerchPhiClassical[Subscript[z, 0], -1 + s, a] - a LerchPhiClassical[Subscript[z, 0], s, a]) (z - Subscript[z, 0]))/ Subscript[z, 0] + (1/(2 Subscript[z, 0]^2)) (LerchPhiClassical[Subscript[z, 0], -2 + s, a] - (1 + 2 a) LerchPhiClassical[Subscript[z, 0], -1 + s, a] + a (1 + a) LerchPhiClassical[Subscript[z, 0], s, a]) (z - Subscript[z, 0])^2 + \[Ellipsis] /; (z -> Subscript[z, 0])










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02