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NevilleThetaN




Mathematica Notation

Traditional Notation









Elliptic Functions > NevilleThetaN[z,m] > Differentiation > Fractional integro-differentiation > With respect to z





http://functions.wolfram.com/09.11.20.0004.01









  


  








Input Form





D[NevilleThetaN[z, m], {z, \[Alpha]}] == ((Sqrt[Pi]/(Sqrt[2] (1 - m)^(1/4) Sqrt[EllipticK[m]])) (1/Gamma[1 - \[Alpha]] + 2^(\[Alpha] + 1) Sqrt[Pi] Sum[(-1)^k EllipticNomeQ[m]^k^2 HypergeometricPFQRegularized[{1}, {(1 - \[Alpha])/2, 1 - \[Alpha]/2}, -((k^2 Pi^2 z^2)/(4 EllipticK[m]^2))], {k, 1, Infinity}]))/z^\[Alpha]








Standard Form





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MathML Form







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</ci> </apply> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2001-10-29