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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=5/2, a2>=5/2 > For fixed z and a1=5/2, a2=4, a3>=4 > For fixed z and a1=5/2, a2=4, a3=4 > For fixed z and a1=5/2, a2=4, a3=4, b1=-7/2





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









  


  










Input Form





HypergeometricPFQ[{5/2, 4, 4}, {-(7/2), -(5/2)}, -z] == (1/(5376 (1 + z)^16)) (5376 + 61440 z + 538624 z^2 - 15994880 z^3 - 5863388160 z^4 + 476354848256 z^5 - 5976469222528 z^6 + 23638611943296 z^7 - 36121015495760 z^8 + 22554968147140 z^9 - 5531336469945 z^10 + 452522982912 z^11 - 7705565868 z^12) + (2145 (1098240 z^(9/2) - 32373120 z^(11/2) + 242072960 z^(13/2) - 660186096 z^(15/2) + 743687724 z^(17/2) - 353589379 z^(19/2) + 66617694 z^(21/2) - 4108104 z^(23/2) + 48048 z^(25/2)) ArcSinh[Sqrt[z]])/ (256 Sqrt[1 + z] (1 + 16 z + 120 z^2 + 560 z^3 + 1820 z^4 + 4368 z^5 + 8008 z^6 + 11440 z^7 + 12870 z^8 + 11440 z^9 + 8008 z^10 + 4368 z^11 + 1820 z^12 + 560 z^13 + 120 z^14 + 16 z^15 + z^16))










Standard Form





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MathML Form







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</cn> <ci> z </ci> </apply> <cn type='integer'> 1 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02