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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2},{b1,b2},z] > Specific values > For integer and half-integer parameters and fixed z > For fixed z and a1=7/2, a2>=7/2 > For fixed z and a1=7/2, a2=11/2, b1>=-11/2 > For fixed z and a1=7/2, a2=11/2, b1=-11/2





http://functions.wolfram.com/07.25.03.alki.01









  


  










Input Form





HypergeometricPFQ[{7/2, 11/2}, {-(11/2), 3}, z] == (1/147349125) (4 E^(z/2) (44438625 - 59875200 z + 50859900 z^2 - 39690000 z^3 + 34927200 z^4 - 43545600 z^5 + 141039360 z^6 + 384998400 z^7 + 212716800 z^8 + 47308800 z^9 + 4899840 z^10 + 233472 z^11 + 4096 z^12) BesselI[0, z/2]) + (1/(147349125 z)) (4 E^(z/2) (-30405375 - 6081075 z + 30447900 z^2 - 30221100 z^3 + 23814000 z^4 - 19504800 z^5 + 20079360 z^6 - 34041600 z^7 + 230273280 z^8 + 172089600 z^9 + 42746880 z^10 + 4672512 z^11 + 229376 z^12 + 4096 z^13) BesselI[1, z/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