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





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









  


  










Input Form





HypergeometricPFQ[{3/2, 2, 4}, {-(7/2), -(1/2)}, z] == (1/(224 (-1 + z)^11)) (-224 + 928 z + 27616 z^2 - 587680 z^3 + 13632320 z^4 + 113536016 z^5 + 142171788 z^6 + 36200451 z^7 + 572880 z^8 - 13860 z^9) + (6435 (880 z^(9/2) + 3140 z^(11/2) + 2385 z^(13/2) + 378 z^(15/2)) ArcSin[Sqrt[z]])/(32 Sqrt[1 - z] (-1 + 11 z - 55 z^2 + 165 z^3 - 330 z^4 + 462 z^5 - 462 z^6 + 330 z^7 - 165 z^8 + 55 z^9 - 11 z^10 + z^11))










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