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In this paper, we evaluate two parameters hk,n and h ' k,n of some P-Q type Theta functions ϕ(q) for any positive real numbers k and n. During this process, we also evaluate Ramanujan's cubic continued fraction. [ABSTRACT FROM AUTHOR]

In this paper we give a representation formula for the general solution to the following two-dimensional system of difference equations ... where parameters a,b and initial values x-2,x-1,x0,y-2,y-1,y0 are real numbers. We also give some theoretical explanations related to the representation. [ABSTRACT FROM AUTHOR]

Our aim in this paper is to investigate the behavior of the solution of the following max type difference equation of order three xn+1 = max{An/xn,xn-2} , n = 0, 1,. . ., where the initial conditions x-2, x-1, x0 are arbitrary positive real numbers and {An}n=0∝ is a periodic sequence of period two. [ABSTRACT FROM AUTHOR]