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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=-19/4, b1`>=-11/2 > For fixed z and a1=-19/4, b1`=7/2





http://functions.wolfram.com/07.22.03.9577.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {7/2, 23/4}, -z] == ((2 Sqrt[z] (57566644713703125 + 50877948851730000 z + 602241802081920000 z^2 - 831141400036147200 z^3 + 2757848795077017600 z^4 + 989101516337971200 z^5 + 81174542659092480 z^6 + 2242917821317120 z^7 + 22492743729152 z^8 + 68719476736 z^9) BesselJ[-(1/4), Sqrt[z]]^2 - (172699934141109375 - 110527957850310000 z + 1388218391239680000 z^2 - 1557132374801203200 z^3 + 2253190942369382400 z^4 + 941883890230886400 z^5 + 79809700366909440 z^6 + 2228975283732480 z^7 + 22449794056192 z^8 + 68719476736 z^9) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + 2 Sqrt[z] (-172699934141109375 - 257898568317390000 z + 1018651002277708800 z^2 - 1248647100464332800 z^3 + 2538550069700198400 z^4 + 969643896392908800 z^5 + 80622472931573760 z^6 + 2237321478930432 z^7 + 22475563859968 z^8 + 68719476736 z^9) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(3368414349361152000 Sqrt[2] z^(17/4))










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