Fungsi béta teu lengkep

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Dina matematik, fungsi béta teu lengkep dihartikeun dina bentuk integral,

I_x(a,b) = \frac{B_x(a,b)}{B(a,b)}    = \frac{1}{B(a,b)} \int_0^x t^{a-1}\,(1-t)^{b-1}\,dt

mibanda a > 0 jeung b > 0.

[édit] Sifat

I_0(a,b) = 0 \,
I_1(a,b) = 1 \,

(Loba sifat séjénna nu bisa dituliskeun di dieu).

[édit] Sumber séjén

  • M. Abramowitz and I. A. Stegun, eds. (1972) Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York: Dover. (Tempo bab 6.6 jeung 26.5)
  • W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Vetterling. (1988) Numerical Recipes in C. Cambridge, UK: Cambridge University Press. (Tempo bab 6.3)