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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=3





http://functions.wolfram.com/07.27.03.1903.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 5/2}, {3, 4}, z] == (1/(200876150475 Pi^2 z^3)) (1024 (-970200 - 56615440 z + 512033585 z^2 + 8665123634 z^3 + 13587880018 z^4 + 4576104184 z^5 + 251840800 z^6) EllipticE[1/2 - Sqrt[1 - z]/2]^2) - (1/(200876150475 Pi^2 z^3)) (1024 Sqrt[1 - z] (-970200 - 36362515 z + 352956100 z^2 + 3975076104 z^3 + 5133676699 z^4 + 1408750040 z^5 + 57657600 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) - (1/(200876150475 Pi^2 z^3)) (1024 (-970200 - 56615440 z + 512033585 z^2 + 8665123634 z^3 + 13587880018 z^4 + 4576104184 z^5 + 251840800 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(200876150475 Pi^2 z^3)) (512 Sqrt[1 - z] (-970200 - 36362515 z + 352956100 z^2 + 3975076104 z^3 + 5133676699 z^4 + 1408750040 z^5 + 57657600 z^6) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(200876150475 Pi^2 z^3)) (512 (-970200 - 35877415 z + 366104445 z^2 + 5408070814 z^3 + 8122894732 z^4 + 2644055577 z^5 + 140334800 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