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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`=-9/2





http://functions.wolfram.com/07.22.03.8018.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(9/2), 1/4}, z] == (1/1857945600) ((4 (232243200 + 464486400 Sqrt[z] - 97399575 z + 351823500 z^(3/2) - 24747840 z^2 + 90723840 z^(5/2) - 3555840 z^3 + 13670400 z^(7/2) - 409600 z^4 + 1835008 z^(9/2) + 65536 z^5 - 262144 z^(11/2) + E^(4 Sqrt[z]) (232243200 - 464486400 Sqrt[z] - 97399575 z - 351823500 z^(3/2) - 24747840 z^2 - 90723840 z^(5/2) - 3555840 z^3 - 13670400 z^(7/2) - 409600 z^4 - 1835008 z^(9/2) + 65536 z^5 + 262144 z^(11/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(3/4) (1748906775 + 1332500400 z + 352396800 z^2 + 53698560 z^3 + 7536640 z^4 - 1048576 z^5) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(3/4) (1748906775 + 1332500400 z + 352396800 z^2 + 53698560 z^3 + 7536640 z^4 - 1048576 z^5) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z]))










Standard Form





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MathML Form







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</apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02