Hypergeometric2F1

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Gauss hypergeometric function 2F1.

Formen

Hypergeometric2F1[a, b, c, z]

Verifizierte BeispieleHypergeometric2F1[2, 3, 4, x] → (3*(-2*x + x^2 - 2*Log[1 - x] + 2*x*Log[1 - x]))/((-1 + x)*x^3)Hypergeometric2F1[2., 3., 4., 5.0] → 0.15654212933375475 + 0.15079644737231007*I Series[Hypergeometric2F1[a, b, c, x], {x, 0, 3}] → SeriesData[x, 0, {1, (a*b)/c, (a*(1 + a)*b*(1 + b))/(2*(1 + c)*c), (a*(1 + a)*(2 + a)*b*(1 + b)*(2 + b))/(6*(1 + c)*(2 + c)*c)}, 0, 4, 1]

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Themen

Functions For Separable Coordinate Systems - Ultraspherical Coordinates
Functions Used In Quantum Mechanics - Advanced Potentials
Hypergeometric Functions - Ordinary & Generalized Hypergeometric Functions
Mathematical Functions - Special Functions »
Special Functions - Hypergeometric Functions »

Verwandt

Hypergeometric2F1Regularized Hypergeometric1F1 HypergeometricPFQ LegendreP LegendreQ Beta Pochhammer HeunG HeunC AppellF1 AppellF2 AppellF3

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