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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=3/2, a3>=3/2 > For fixed z and a1=1, a2=3/2, a3=4 > For fixed z and a1=1, a2=3/2, a3=4, b1=-7/2





http://functions.wolfram.com/07.27.03.aq25.01









  


  










Input Form





HypergeometricPFQ[{1, 3/2, 4}, {-(7/2), -(7/2)}, z] == (1/(784 (-1 + z)^13)) (-784 + 9808 z - 56928 z^2 + 197088 z^3 - 1320624 z^4 - 135289872 z^5 - 1696126016 z^6 - 4905691648 z^7 - 4087079568 z^8 - 873458586 z^9 - 14005719 z^10 + 457758 z^11 - 10584 z^12) - (6435 (256 z^(9/2) + 9600 z^(11/2) + 62400 z^(13/2) + 114400 z^(15/2) + 64350 z^(17/2) + 9009 z^(19/2)) ArcSin[Sqrt[z]])/ (112 Sqrt[1 - z] (-1 + 13 z - 78 z^2 + 286 z^3 - 715 z^4 + 1287 z^5 - 1716 z^6 + 1716 z^7 - 1287 z^8 + 715 z^9 - 286 z^10 + 78 z^11 - 13 z^12 + z^13))










Standard Form





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MathML Form







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</apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 715 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 286 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 78 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 13 </cn> <ci> z </ci> </apply> <cn type='integer'> -1 </cn> </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)





2007-05-02