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





http://functions.wolfram.com/07.27.03.1904.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 5/2}, {7/2, 7/2}, z] == (1225 Pi^2)/(12582912 (-z)^(5/2)) + (1/(37748736 z^2)) (Sqrt[1 - z] (-93345 + 471870 z + 31441848 z^2 + 62040624 z^3 + 24714688 z^4 + 1604480 z^5)) + (1/(12582912 (-z)^(5/2))) (35 (469 - 5040 z + 63000 z^2 + 448000 z^3 + 504000 z^4 + 129024 z^5 + 5120 z^6) Log[Sqrt[1 - z] + Sqrt[-z]]) - (1225 Log[Sqrt[1 - z] + Sqrt[-z]]^2)/(2097152 (-z)^(5/2)) + (1225 Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/ (1048576 (-z)^(5/2)) + (1225 PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/ (1048576 (-z)^(5/2)) - (1225 PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/ (1048576 (-z)^(5/2))










Standard Form





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MathML Form







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<power /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> <cn type='rational'> 5 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 1225 </cn> <apply> <power /> <pi /> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 12582912 </cn> <apply> <power /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> <cn type='rational'> 5 <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