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





http://functions.wolfram.com/07.27.03.2446.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(5/2), -(3/2)}, {3, 4}, z] == (1/(3277699425 Pi^2 z^3)) (1024 (-280 - 195607 z - 7326115 z^2 + 157684393 z^3 - 80947637 z^4 + 740887 z^5 + 630 z^6) EllipticE[1/2 - Sqrt[1 - z]/2]^2) - (1/(3277699425 Pi^2 z^3)) (1024 Sqrt[1 - z] (-280 - 150632 z - 5401533 z^2 + 83159386 z^3 - 34705993 z^4 + 157500 z^5) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) - (1/(3277699425 Pi^2 z^3)) (1024 (-280 - 195607 z - 7326115 z^2 + 157684393 z^3 - 80947637 z^4 + 740887 z^5 + 630 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(3277699425 Pi^2 z^3)) (512 Sqrt[1 - z] (-280 - 150632 z - 5401533 z^2 + 83159386 z^3 - 34705993 z^4 + 157500 z^5) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(3277699425 Pi^2 z^3)) (512 (-280 - 150492 z - 5337452 z^2 + 110988988 z^3 - 88768152 z^4 + 10164896 z^5 + 315 z^6) EllipticK[1/2 - Sqrt[1 - z]/2]^2)










Standard Form





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MathML Form







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<apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 195607 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> -280 </cn> </apply> <apply> <ci> EllipticK </ci> <apply> <plus /> <cn type='rational'> 1 <sep /> 2 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> <apply> <ci> EllipticE </ci> <apply> <plus /> <cn type='rational'> 1 <sep /> 2 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> 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</annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02