scholarly journals m-Fold Hypergeometric Solutions of Linear Recurrence Equations Revisited

2012 ◽  
Vol 6 (1) ◽  
pp. 61-77 ◽  
Author(s):  
Peter Horn ◽  
Wolfram Koepf ◽  
Torsten Sprenger
Keyword(s):  
Linear Recurrence ◽  
Recurrence Equations ◽  
Hypergeometric Solutions

scholarly journals Analytical calculation of the deflection of an externally statically indeterminate lattice truss

2019 ◽  
Vol 265 ◽  
pp. 05027
Author(s):  
Mikhail Kirsanov ◽  
Evgeny Komerzan ◽  
Olesya Sviridenko
Keyword(s):  
Arbitrary Number ◽  
Analytical Calculation ◽  
Linear Recurrence ◽  
System Of Equations ◽  
Induction Method ◽  
Particular Solutions ◽  
Recurrence Equations ◽  
Nonmonotonic Character

A scheme of a statically definable truss with additional supports is proposed. Derive formulas for the dependence of the deflection of the truss against the number of panels for three types of symmetrical loads. It is shown that for definite numbers of panels the determinant of the system of equations for the equilibrium of nodes degenerates. This indicates an instant changeability of the structure. To generalize particular solutions to an arbitrary number of panels, the induction method is applied. For this purpose, in the computer mathematics system Maple linear recurrence equations are constructed for the terms of a sequence of coefficients from individual solutions. The graphs of the dependences obtained indicate a nonmonotonic character of the solutions found and the possibility of optimizing the design by choosing the number of panels.

MAPPING LINEAR RECURRENCE EQUATIONS ONTO SYSTOLIC ARCHITECTURES

1996 ◽  
Vol 08 (03) ◽  
pp. 229-270
Author(s):  
LADAN KAZEROUNI ◽  
BASANT RAJAN ◽  
R.K. SHYAMASUNDAR
Keyword(s):  
Linear Recurrence ◽  
Recurrence Equations

scholarly journals Solving linear recurrence equations

2011 ◽  
Vol 44 (3/4) ◽  
pp. 183-185
Author(s):  
Yongjae Cha ◽  
Mark van Hoeij ◽  
Giles Levy
Keyword(s):  
Linear Recurrence ◽  
Recurrence Equations
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