  In previous paper I construct an approximative solution of the power series
expansion in closed forms of Grand Confluent Hypergeometric (GCH) function only
up to one term of A_n's [4]. And I obtain normalized constant and orthogonal
relation of GCH function.
  In this paper I will apply three term recurrence formula [3] to the power
series expansion in closed forms of GCH function (infinite series and
polynomial) including all higher terms of A_n's.
  In general most of well-known special function with two recursive
coefficients only has one eigenvalue for the polynomial case. However this new
function with three recursive coefficients has infinite eigenvalues that make
B_n's term terminated at specific value of index n because of three term
recurrence formula [3].
  This paper is 9th out of 10 in series "Special functions and three term
recurrence formula (3TRF)". See section 6 for all the papers in the series.
Previous paper in series deals with generating functions of Lame polynomial in
the Weierstrass's form [28]. The next paper in the series describes the
integral formalism and the generating function of GCH function [30].
