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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=3





http://functions.wolfram.com/07.27.03.1653.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 3/2}, {3, 4}, z] == (1/(66958716825 Pi^2 z^3)) (1024 (323400 + 77030065 z + 366104445 z^2 + 2426805698 z^3 + 2409507872 z^4 + 594113385 z^5 + 25760656 z^6) EllipticE[1/2 - Sqrt[1 - z]/2]^2) - (1/(66958716825 Pi^2 z^3)) (1024 Sqrt[1 - z] (323400 + 56615440 z + 220175305 z^2 + 1042099158 z^3 + 869167214 z^4 + 176802896 z^5 + 5765760 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) - (1/(66958716825 Pi^2 z^3)) (1024 (323400 + 77030065 z + 366104445 z^2 + 2426805698 z^3 + 2409507872 z^4 + 594113385 z^5 + 25760656 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(66958716825 Pi^2 z^3)) (512 Sqrt[1 - z] (323400 + 56615440 z + 220175305 z^2 + 1042099158 z^3 + 869167214 z^4 + 176802896 z^5 + 5765760 z^6) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(66958716825 Pi^2 z^3)) (512 (323400 + 56453740 z + 196961135 z^2 + 1490632558 z^3 + 1428346715 z^4 + 341657032 z^5 + 14321768 z^6) EllipticK[1/2 - Sqrt[1 - z]/2]^2)










Standard Form





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MathML Form







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





2007-05-02