ABSTRACT

Eq(1) contains the following nine equations of the (2, 2)-type:

xn+1 = α+ βxn A+Bxn

, n = 0, 1, . . . (6.1)

xn+1 = α+ βxn

A+ Cxn−1 , n = 0, 1, . . . (6.2)

xn+1 = α+ βxn

Bxn + Cxn−1 , n = 0, 1, . . . (6.3)

xn+1 = α+ γxn−1 A+Bxn

, n = 0, 1, . . . (6.4)

xn+1 = α+ γxn−1 A+ Cxn−1

, n = 0, 1, . . . (6.5)

xn+1 = α+ γxn−1

, n = 0, 1, . . . (6.6)

xn+1 = βxn + γxn−1 A+Bxn

, n = 0, 1, . . . (6.7)

xn+1 = βxn + γxn−1 A+ Cxn−1

, n = 0, 1, . . . (6.8)

xn+1 = βxn + γxn−1 Bxn + Cxn−1

, n = 0, 1, . . . . (6.9)

Please recall our classification convention in which all parameters that appear in these equations are positive, the initial conditions are nonnegative, and the denominators are always positive.