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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=1





http://functions.wolfram.com/07.27.03.1194.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), -(3/2)}, {1, 4}, z] == (1/(6087156075 Pi^2 z^3)) (128 (-2240 + 106190 z - 5623065 z^2 + 3423354344 z^3 - 7057972421 z^4 + 255019446 z^5 + 3897981 z^6) EllipticE[1/2 - Sqrt[1 - z]/2]^2) + (1/(6087156075 Pi^2 z^3)) (128 (2240 - 106190 z + 5623065 z^2 - 3423354344 z^3 + 7057972421 z^4 - 255019446 z^5 - 3897981 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(6087156075 Pi^2 z^3)) (128 Sqrt[1 - z] (2240 - 105630 z + 5596920 z^2 - 1988043509 z^3 + 3309705765 z^4 - 63991656 z^5 - 810810 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(6087156075 Pi^2 z^3)) (64 Sqrt[1 - z] (-2240 + 105630 z - 5596920 z^2 + 1988043509 z^3 - 3309705765 z^4 + 63991656 z^5 + 810810 z^6) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(6087156075 Pi^2 z^3)) (64 (-2240 + 106750 z - 5649525 z^2 + 2371279439 z^3 - 5739962827 z^4 + 1253210265 z^5 + 2151693 z^6) EllipticK[1/2 - Sqrt[1 - z]/2]^2)










Standard Form





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MathML Form







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Rule Form





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





2007-05-02