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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] > Specific values > For integer and half-integer parameters and fixed z > For fixed z and a1=1, a2>=1 > For fixed z and a1=1, a2=1, a3>=1 > For fixed z and a1=1, a2=1, a3=3/2 > For fixed z and a1=1, a2=1, a3=3/2, b1=5/2





http://functions.wolfram.com/07.27.03.apbu.01









  


  








Input Form





HypergeometricPFQ[{1, 1, 3/2}, {5/2, 5/2}, -z] == (9 (Pi^2 - 8 Sqrt[z]))/(4 z^(3/2)) - (9 (-4 - 5 z + z^2) Log[1 + Sqrt[z] - Sqrt[1 + z]])/(4 z (1 + z)^(3/2)) + (9 (-4 - 5 z + z^2) Log[1 - Sqrt[z] + Sqrt[1 + z]])/(4 z (1 + z)^(3/2)) + (9 Sqrt[1 + z] Log[Sqrt[z] + Sqrt[1 + z]])/z^(3/2) + (9 (-4 - 5 z + z^2) Log[(-1 + Sqrt[z] + Sqrt[1 + z])/ (1 + Sqrt[z] + Sqrt[1 + z])])/(4 z (1 + z)^(3/2)) + (9 Log[Sqrt[z] + Sqrt[1 + z]] Log[(-1 + Sqrt[z] + Sqrt[1 + z])/ (1 + Sqrt[z] + Sqrt[1 + z])])/z^(3/2) + (9 PolyLog[2, -(1/(Sqrt[z] + Sqrt[1 + z]))])/z^(3/2) - (9 PolyLog[2, 1/(Sqrt[z] + Sqrt[1 + z])])/z^(3/2)








Standard Form





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MathML Form







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type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <power /> <apply> <plus /> <ci> z </ci> <cn type='integer'> 1 </cn> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <power /> <apply> <power /> <ci> z </ci> <cn type='rational'> 3 <sep /> 2 </cn> </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)





2007-05-02