07/27/2014, 02:38 PM

We are looking for a nonpolynomial analytic function f(z) that satisfies :

f(z+i) = F(f(z-1),f(z),f(z+1))

Where F(a,b,c) = exp(x_0 + x_1 ln(a) + x_2 ln(b) + x_3 ln© + x_4 ln(a)ln(b) + x_5 ln(a)ln© + x_6 ln(b)ln© + x_7 ln(a)ln(b)ln©)

where x_n are complex numbers.

If most x_n are nonzero this seems complicated.

Perhaps even inconsistant ?

regards

tommy1729

f(z+i) = F(f(z-1),f(z),f(z+1))

Where F(a,b,c) = exp(x_0 + x_1 ln(a) + x_2 ln(b) + x_3 ln© + x_4 ln(a)ln(b) + x_5 ln(a)ln© + x_6 ln(b)ln© + x_7 ln(a)ln(b)ln©)

where x_n are complex numbers.

If most x_n are nonzero this seems complicated.

Perhaps even inconsistant ?

regards

tommy1729