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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For rational parameters with larger denominators and fixed z > For fixed z and a1=-17/4, b1`>=-11/2 > For fixed z and a1=-17/4, b1`=7/2





http://functions.wolfram.com/07.22.03.a7ty.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {7/2, 21/4}, z] == ((2 Sqrt[z] (-142711951206825 + 624517256563200 z + 2914413863961600 z^2 + 13476020144209920 z^3 - 12045630546247680 z^4 + 1747319380770816 z^5 - 74078723506176 z^6 + 1050119503872 z^7 - 4294967296 z^8) BesselI[1/4, Sqrt[z]]^2 + 3 (237853252011375 - 1210002184591200 z - 4371620795942400 z^2 - 5100001201152000 z^3 + 10619536036331520 z^4 - 1684022923100160 z^5 + 73166210727936 z^6 - 1046361407488 z^7 + 4294967296 z^8) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 Sqrt[z] (713559756034125 - 2107745740900800 z - 5009567067648000 z^2 - 5962152771993600 z^3 + 10805000112046080 z^4 - 1692781101711360 z^5 + 73295361736704 z^6 - 1046898278400 z^7 + 4294967296 z^8) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(9902853020712960 Sqrt[2] z^(15/4))










Standard Form





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MathML Form







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<apply> <power /> <cn type='integer'> 2 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 15 <sep /> 4 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02