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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=-21/4, b1`>=-11/2 > For fixed z and a1=-21/4, b1`=-3/2





http://functions.wolfram.com/07.22.03.8736.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(3/2), -(1/4)}, z] == (1/2128896) ((4 (266112 + 532224 Sqrt[z] - 3193344 z + 2552319 z^(3/2) - 15520428 z^2 - 2432304 z^(5/2) + 10385088 z^3 + 232704 z^(7/2) - 943104 z^4 - 4096 z^(9/2) + 16384 z^5 + E^(4 Sqrt[z]) (266112 - 532224 Sqrt[z] - 3193344 z - 2552319 z^(3/2) - 15520428 z^2 + 2432304 z^(5/2) + 10385088 z^3 - 232704 z^(7/2) - 943104 z^4 + 4096 z^(9/2) + 16384 z^5)) + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(5/4) (-9648639 - 68612544 z + 42223104 z^2 - 3784704 z^3 + 65536 z^4) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(5/4) (9648639 + 68612544 z - 42223104 z^2 + 3784704 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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</annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02