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





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









  


  










Input Form





HypergeometricPFQ[{3, 3, 7/2}, {-(7/2), -(3/2)}, z] == (1/(320 (-1 + z)^14)) (320 - 2560 z + 57536 z^2 - 4095104 z^3 + 315539776 z^4 + 9832915456 z^5 + 53783585856 z^6 + 92537002272 z^7 + 56782242192 z^8 + 11944041402 z^9 + 685387047 z^10 + 4856682 z^11) + (9009 (36608 z^(9/2) + 467584 z^(11/2) + 1591008 z^(13/2) + 1915440 z^(15/2) + 863310 z^(17/2) + 135009 z^(19/2) + 5592 z^(21/2) + 24 z^(23/2)) ArcSin[Sqrt[z]])/(64 Sqrt[1 - z] (1 - 14 z + 91 z^2 - 364 z^3 + 1001 z^4 - 2002 z^5 + 3003 z^6 - 3432 z^7 + 3003 z^8 - 2002 z^9 + 1001 z^10 - 364 z^11 + 91 z^12 - 14 z^13 + z^14))










Standard Form





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MathML Form







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</math>










Rule Form





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





2007-05-02