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





http://functions.wolfram.com/07.27.03.av07.01









  


  










Input Form





HypergeometricPFQ[{3, 7/2, 4}, {-(7/2), -(5/2)}, -z] == (1/(640 (1 + z)^16)) (640 + 7168 z + 64512 z^2 - 2123776 z^3 - 777402880 z^4 + 63947074560 z^5 - 814407254528 z^6 + 3281421889408 z^7 - 5135154682944 z^8 + 3312380334120 z^9 - 852438641340 z^10 + 75745982169 z^11 - 1561210794 z^12 + 792792 z^13) + (9009 (146432 z^(9/2) - 4372992 z^(11/2) + 33217152 z^(13/2) - 92377792 z^(15/2) + 106731768 z^(17/2) - 52545636 z^(19/2) + 10432851 z^(21/2) - 705276 z^(23/2) + 10296 z^(25/2)) ArcSinh[Sqrt[z]])/ (128 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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type='integer'> 560 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 120 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 16 </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