scholarly journals The Fourth-order Difference Equation Satisfied by the Associated Orthogonal Polynomials of the Δ -Laguerre–Hahn Class

1999 ◽  
Vol 28 (6) ◽  
pp. 801-818 ◽  
Author(s):  
Mama Foupouagnigni ◽  
M.Norbert Hounkonnou ◽  
André Ronveaux
Keyword(s):  
Difference Equation ◽  
Orthogonal Polynomials ◽  
Fourth Order ◽  
Order Difference ◽  
Order Difference Equation

scholarly journals QUALITATIVE ANALYSIS OF A FOURTH ORDER DIFFERENCE EQUATION

2020 ◽  
Vol 10 (4) ◽  
pp. 1343-1354
Author(s):  
H. S. Alayachi ◽  
◽  
M. S. M. Noorani ◽  
E. M. Elsayed ◽  
◽  
...  
Keyword(s):  
Difference Equation ◽  
Qualitative Analysis ◽  
Fourth Order ◽  
Order Difference ◽  
Order Difference Equation

scholarly journals On the Max-Type Difference Equationxn+1=max⁡{A/xn,xn−3}

2010 ◽  
Vol 2010 ◽  
pp. 1-13 ◽  
Author(s):  
Bratislav D. Iričanin ◽  
E. M. Elsayed
Keyword(s):  
Difference Equation ◽  
Fourth Order ◽  
Order Difference ◽  
Order Difference Equation

We show that every well-defined solution of the fourth-order difference equationxn+1=max⁡{A/xn,xn−3},    n∈ℕ0, where parameterA≥0, is eventually periodic with period four.

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