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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=-7/2, a2>=-7/2 > For fixed z and a1=-7/2, a2=-7/2, a3>=-7/2 > For fixed z and a1=-7/2, a2=-7/2, a3=-7/2 > For fixed z and a1=-7/2, a2=-7/2, a3=-7/2, b1=-5/2





http://functions.wolfram.com/07.27.03.1009.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), -(7/2)}, {-(5/2), 1/2}, z] == (-(245/192)) Pi^2 (-z)^(7/2) + (Sqrt[1 - z] (23040 + 673167 z + 1904401 z^2 + 1452602 z^3))/23040 + (7 (-1225 Sqrt[-z] + 11025 (-z)^(3/2) - 17640 (-z)^(5/2) + 8712 (-z)^(7/2)) Log[Sqrt[1 - z] + Sqrt[-z]])/1536 + (245/32) (-z)^(7/2) Log[Sqrt[1 - z] + Sqrt[-z]]^2 - (245/16) (-z)^(7/2) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]] - (245/16) (-z)^(7/2) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]] + (245/16) (-z)^(7/2) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]]










Standard Form





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MathML Form







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1 <sep /> 2 </cn> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <power /> <cn type='integer'> 1536 </cn> <cn type='integer'> -1 </cn> </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