ABSTRACT

Moreover, if we introduce the additional unknown Bn, then (3.5) holds also for k = n, and so substituting (3.6) into (3.5), we obtain ([87]) the linear system of equations,

Bfc-i + Bk = 2 rfjfe-i, k = 2, - -., n, (3.7) for the determination of B\,- - ,Bn. Unfortunately, this system consists of n unknowns but only n — 1 equations, and thus we require one extra condition. If, for example, we fix a value for Bi, then (3.7) can easily be solved recursively. It can be shown by complete induction that

(3.8)

The coefficients of (3.1) are then uniquely determined by (3.8), (3.2), and (3.6).