Fungsi béta teu lengkep

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

$I_x(a,b)=\frac{B_x(a,b)}{B(a,b)}=\frac{1}{B(a,b)}\underset{0}{\overset{x}{\int }}{t}^{a-1}(1-t{)}^{b-1}dt$

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)