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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.a7us.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {9/2, 3/4}, z] == (1/(9270049536 z^(7/2))) ((103378275 - 103378275 E^(4 Sqrt[z]) + 206756550 Sqrt[z] + 206756550 E^(4 Sqrt[z]) Sqrt[z] + 90221040 z - 90221040 E^(4 Sqrt[z]) z - 95233320 z^(3/2) - 95233320 E^(4 Sqrt[z]) z^(3/2) - 14320800 z^2 + 14320800 E^(4 Sqrt[z]) z^2 + 171849600 z^(5/2) + 171849600 E^(4 Sqrt[z]) z^(5/2) - 534643200 z^3 + 534643200 E^(4 Sqrt[z]) z^3 + 3274739712 z^(7/2) + 3274739712 E^(4 Sqrt[z]) z^(7/2) + 553479804 z^4 - 553479804 E^(4 Sqrt[z]) z^4 - 2400677040 z^(9/2) - 2400677040 E^(4 Sqrt[z]) z^(9/2) - 69067968 z^5 + 69067968 E^(4 Sqrt[z]) z^5 + 282532608 z^(11/2) + 282532608 E^(4 Sqrt[z]) z^(11/2) + 2143232 z^6 - 2143232 E^(4 Sqrt[z]) z^6 - 8622080 z^(13/2) - 8622080 E^(4 Sqrt[z]) z^(13/2) - 16384 z^7 + 16384 E^(4 Sqrt[z]) z^7 + 65536 z^(15/2) + 65536 E^(4 Sqrt[z]) z^(15/2) + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(15/4) (3637572705 - 2450575296 z + 284124672 z^2 - 8634368 z^3 + 65536 z^4) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(15/4) (-3637572705 + 2450575296 z - 284124672 z^2 + 8634368 z^3 - 65536 z^4) Erfi[Sqrt[2] z^(1/4)])/ E^(2 Sqrt[z]))










Standard Form





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MathML Form







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





2007-05-02