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Difference equations in combinatorics,number theory,and orthogonal polynomials |
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| Authors: | Saber Elaydi |
| Institution: | Department of Mathematics , Trinity University , San Antonio , 715 Stadium Drive , TX 78212 , USA |
| Abstract: | In this paper we give an overview of some recent developments in the asymptotics of difference equations. Applications to combinatorics and orthogonal polynomials are briefly indicated. Some conjectures and open problems are presented |
| Keywords: | Asymptotics Poincaré–Perron theorem Minimal solutions Continued fractions Combinatorics Orthogonal polynomials Riemann-Zeta function |