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variants of this functions
Hypergeometric0F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric0F1[b,z] > Differential equations > Ordinary linear differential equations and wronskians > For the direct function itself





http://functions.wolfram.com/07.17.13.0015.01









  


  










Input Form





Derivative[2][w][z] + ((-1 + b) Log[r] - 2 Log[s]) Derivative[1][w][z] + ((-a) r^z Log[r]^2 - (-1 + b) Log[r] Log[s] + Log[s]^2) w[z] == 0 /; w[z] == Subscript[c, 1] s^z Hypergeometric0F1[b, a r^z] + Subscript[c, 2] s^z r^((1 - b) z) Hypergeometric0F1[2 - b, a r^z] && !Element[b, Integers]










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