RI 4961 Table Of The Incomplete Beta Function ß (1/2, p, q) ? Introduction

[In a certain application it was necessary to compute the incomplete beta function, ß(1/2, p, q), for a certain set of values of p and q. Since the set of p and q values was much more finely spaced than those in any published tables, the authors have decided to make their results available in this report. In connection with this application, the function ß(1/2, p, q) was needed at various points in the p, q plane at intervals of 0.05, 0.05 p = 2q < 10.00. Fletcher, Miller, and Rosenhead3/ state that the only tables available in the desired range are those of Pearson.4/ However, the interval used by Pearson was not small enough for the present application. For this reason, it was decided to calculate the function ß(1/2, p, q) for p = q = 0.05 (0.05) 10.00. This table is published because of the fundamental importance in mathematical analysis of the incomplete beta function.]