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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`=3/2





http://functions.wolfram.com/07.22.03.agm0.01









  


  










Input Form





HypergeometricPFQ[{23/4}, {3/2, -(23/4)}, z] == (1/(99687686175 z^(1/4))) (Sqrt[2] ((99687686175 - 265833829800 z + 185032149120 z^2 - 5708795904 z^3 - 6539968512 z^4 + 737673216 z^5 + 8388608 z^6) BesselI[1/4, Sqrt[z]]^2 + 28 Sqrt[z] (14241098025 - 13053949200 z - 5877020160 z^2 + 2035703808 z^3 - 151191552 z^4 + 11534336 z^5) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 8 z (23881799025 + 33231416400 z - 6273953280 z^2 - 376922112 z^3 + 62717952 z^4 + 1048576 z^5) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)










Standard Form





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MathML Form







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Rule Form





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





2007-05-02