function [fun,dfun,ifun,x0,m,C,Ax] = zlog
%---------------------------------------------------------------------------
%ZLOG Taylor series coefficient lists for log(1+x).
% Pm(x) = c(1) + c(2)x + c(2)x^2 + ... + c(m+1)x^m
% Inputs
% There are no inputs for this function.
% Return
% fun name of the function f(x)
% dfun name of the derivative f'(x)
% ifun name of the integral f(x)dx
% x0 point of expansion
% m degree of the polynomial
% C coefficient list of the polynomial
% Ax three asis vectors plotting f, f' and f
%
% NUMERICAL METHODS: MATLAB Programs, (c) John H. Mathews 1995
% To accompany the text:
% NUMERICAL METHODS for Mathematics, Science and Engineering, 2nd Ed, 1992
% Prentice Hall, Englewood Cliffs, New Jersey, 07632, U.S.A.
% Prentice Hall, Inc.; USA, Canada, Mexico ISBN 0-13-624990-6
% Prentice Hall, International Editions: ISBN 0-13-625047-5
% This free software is compliments of the author.
% E-mail address: in%"mathews@fullerton.edu"
%
% Algorithm 4.1 (Evaluation of a Taylor Series).
% Section 4.1, Taylor Series and Calculation of Functions, Page 203
% Algorithm 4.2 (Polynomial Calculus).
% Section 4.2, Introduction to Interpolation, Page 212
% Algorithm 4.p (Pade rational Approximation).
% Section 4.6, Pade Approximations, Page 249
%---------------------------------------------------------------------------
x0 = 0;
m = 25;
a = -0.999;
b = 1.0;
ymin = -2.5;
ymax = 1.0;
ymin1 = -0.5;
ymax1 = 10;
ymin2 = -0.06;
ymax2 = 1;
Ax(1,:) = [a b ymin ymax];
Ax(2,:) = [a b ymin1 ymax1];
Ax(3,:) = [a b ymin2 ymax2];
fun = 'log(1+x)';
dfun = '(1+x).^(-1)';
ifun = '-x+(1+x).*log(1+x)';
C = [1/25,
-1/24,
1/23,
-1/22,
1/21,
-1/20,
1/19,
-1/18,
1/17,
-1/16,
1/15,
-1/14,
1/13,
-1/12,
1/11,
-1/10,
1/9,
-1/8,
1/7,
-1/6,
1/5,
-1/4,
1/3,
-1/2,
1,
0];
