Fungsi béta teu lengkep

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.

Sifat

$I_{0}(a,b)=0\,$

$I_{1}(a,b)=1\,$

(Loba sifat séjénna nu bisa dituliskeun di dieu).

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)