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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/07.22.03.8088.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(7/2), 23/4}, z] == ((2 Sqrt[z] (-43693083337700671875 - 35105784707693700000 z + 2519753653216800000 z^2 - 500847419584512000 z^3 + 504317053255680000 z^4 + 204731078462668800 z^5 + 33047425371340800 z^6 + 3672035976806400 z^7 + 480800113950720 z^8 - 83150566850560 z^9 + 1099511627776 z^10) BesselI[-(1/4), Sqrt[z]]^2 + (131079250013102015625 + 305057163666855600000 z + 11809447844594400000 z^2 + 984424238493696000 z^3 - 642997748219904000 z^4 - 227939742174412800 z^5 - 35354356324761600 z^6 - 3845660029747200 z^7 - 430677845606400 z^8 + 82463372083200 z^9 - 1099511627776 z^10) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 2 Sqrt[z] (131079250013102015625 + 25421430305571300000 z + 188222562047520000 z^2 - 370653660647424000 z^3 + 566600738173747200 z^4 + 214124653235404800 z^5 + 34020678382387200 z^6 + 3761779318456320 z^7 + 460441968967680 z^8 - 82875688943616 z^9 + 1099511627776 z^10) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(941831567179776000 Sqrt[2] z^(17/4))










Standard Form





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MathML Form







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<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