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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`=9/2





http://functions.wolfram.com/07.22.03.a7um.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {9/2, -(3/4)}, z] == (1/(4345335720 Sqrt[2] z^(9/4))) ((4 z (890127225 + 1721204640 z - 1285574400 z^2 - 7935344640 z^3 + 2953863168 z^4 - 174063616 z^5 + 2097152 z^6) BesselI[1/4, Sqrt[z]]^2 - 12 Sqrt[z] (1483545375 - 620568000 z - 2428600320 z^2 - 2796994560 z^3 + 1402327040 z^4 - 86114304 z^5 + 1048576 z^6) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + (22253180625 - 7330459500 z + 6129302400 z^2 + 19214115840 z^3 + 23539875840 z^4 - 11301519360 z^5 + 689963008 z^6 - 8388608 z^7) 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