In 1985, Louis de Branges de Bourcia proved the Bieberbach conjecture, i.e., for a univalent function its [n.sup.th]

Taylor coefficient is bounded by n (see [3]).

By using the Taylor expansion (5) for f [member of] [SIGMA](p) and the

Taylor coefficient estimate (6) for |[a.su.n]|, we have for 0 < r < p,

Note, however, that even for moderate steady-state inflation, it takes a large coefficient on output to generate determinacy in a rule that includes the standard

Taylor coefficient, [f.sub.y] = 0.125, on output.

On the other hand, it is well known (see e.g., [3]) that the value [sigma]([z.sub.i]) of the parameter a in (2.8) at the interpolation node [z.sub.i] completely determines the ([n.sub.i] + 1)-th

Taylor coefficient [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].

As a result, we get a linear system for which the solution of this system yields the unknown

Taylor coefficients of the solution functions.

Clearly, the third equality in (22) is concerned with Markov parameters, which are defined as

Taylor coefficients of the transfer function in the frequency domain when it is expanded around the infinity [4].

This is so because the coefficients [c.sub.n] are the

Taylor coefficients at u = 0 of the function h(u) = g(t)[dt/du], which is defined in an implicit form because, in general, the function t(u) is not explicitly known.

If f [member of] [S.sup.0.sub.H] for which f(D) is convex, Clunie and Sheil- Small [14] proved that the

Taylor coefficients of h and g satisfy the inequalities

Then, the

Taylor coefficients of f(z) are given by the following finite sum

Following this procedure, which can be easily programmed using symbolic algebra [33], the

Taylor coefficients up to a desired order n can be obtained.

Here [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.] [member of] C and the [a.sub.j] are the

Taylor coefficients of f.

For identical diodes, [g.sub.1] = [g'.sub.1], [g.sub.2] = -[g'.sub.2], [g.sub.3] = [g'.sub.3], [c.sub.1] = [c'.sub.1], [c.sub.2] = -[c'.sub.2] and [c.sub.3] = [c'.sub.3], hence, [Y.sub.1] = [Y'.sub.1] [g.sub.i] and [c.sub.i] for i = 1 to 3 are the first three

Taylor coefficients of the conductances and capacitors of the diode, respectively.