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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=3/2 > For fixed z and a1=-7/2, a2=-7/2, a3=3/2, b1=5/2





http://functions.wolfram.com/07.27.03.1651.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 3/2}, {5/2, 7/2}, z] == (735 Pi^2)/(524288 (-z)^(3/2)) + (Sqrt[1 - z] (3675 + 317030 z + 8472840 z^2 + 14182048 z^3 + 5214784 z^4 + 322688 z^5))/(10485760 z^2) + (1/(2097152 (-z)^(5/2))) (21 (-35 - 1316 z + 21000 z^2 + 112000 z^3 + 112000 z^4 + 26880 z^5 + 1024 z^6) Log[Sqrt[1 - z] + Sqrt[-z]]) - (2205 Log[Sqrt[1 - z] + Sqrt[-z]]^2)/(262144 (-z)^(3/2)) + (2205 Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/ (131072 (-z)^(3/2)) + (2205 PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/ (131072 (-z)^(3/2)) - (2205 PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/ (131072 (-z)^(3/2))










Standard Form





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MathML Form







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</apply> </apply> </apply> <apply> <times /> <cn type='integer'> 735 </cn> <apply> <power /> <pi /> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 524288 </cn> <apply> <power /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> <cn type='rational'> 3 <sep /> 2 </cn> </apply> </apply> <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