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.