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Beta function

Def. Beta function. The improper integral

Relationship to gamma function

Important results

Def. Incomplete beta function. The function defined by

Important relationship.

where F is the hypergeometric function.

References.

1. James/James. Mathematics Dictionary

2. The International Dictionary of Applied Mathematics. D. Van Nostrand Co.

3. Murray R. Spiegel. Mathematical Handbook of Formulas and Tables. (Schaum)