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    Tricomi Function

    Definition

    The confluent hypergeometric function of the second kind gives the second linearly independent solution to the confluent hypergeometric differential equation. It is also known as the Kummer's function of the second kind, Tricomi function, or Gordon function. It is denoted U(a, b, z) and can be defined by U(a, b, z) | = | π csc(π b)[(_1 F^~_1(a;b;z))/(Γ(a - b + 1)) - (z^(1 - b) _1 F^~_1(a - b + 1;2 - b;z))/(Γ(a))] | = | z^(-a) _2 F_0(a, 1 + a - b;; - z^(-1)),

    Related Wolfram Language symbol

    HypergeometricU

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