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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=-23/4, b1`>=-11/2 > For fixed z and a1=-23/4, b1`=-7/2





http://functions.wolfram.com/07.22.03.8084.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(7/2), 19/4}, z] == ((2 Sqrt[z] (88268855227678125 + 58819550639850000 z - 9714712879872000 z^2 + 13302122416128000 z^3 + 6667968842956800 z^4 + 1275187691520000 z^5 + 163671808409600 z^6 + 24400782950400 z^7 - 4702989189120 z^8 + 68719476736 z^9) BesselI[-(1/4), Sqrt[z]]^2 - (264806565683034375 + 579973418674650000 z - 45335326772736000 z^2 + 16859395897344000 z^3 + 7525393337548800 z^4 + 1374483854131200 z^5 + 171822179942400 z^6 + 21576841953280 z^7 - 4660039516160 z^8 + 68719476736 z^9) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 2 Sqrt[z] (-264806565683034375 - 15052745217510000 z - 8635300337664000 z^2 + 15290491513651200 z^3 + 7030591458508800 z^4 + 1318260886732800 z^5 + 168061399203840 z^6 + 23251879198720 z^7 - 4685809319936 z^8 + 68719476736 z^9) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(26629166333952000 Sqrt[2] z^(13/4))










Standard Form





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MathML Form







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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