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1: 3.6 Linear Difference Equations
Then w n is said to be a recessive (equivalently, minimal or distinguished) solution as n , and it is unique except for a constant factor. … …
2: Bibliography S
  • H. Segur and M. J. Ablowitz (1981) Asymptotic solutions of nonlinear evolution equations and a Painlevé transcendent. Phys. D 3 (1-2), pp. 165–184.
  • N. Seiberg and D. Shih (2005) Flux vacua and branes of the minimal superstring. J. High Energy Phys. 2005 (01), pp. 1–37.
  • R. Shail (1978) Lamé polynomial solutions to some elliptic crack and punch problems. Internat. J. Engrg. Sci. 16 (8), pp. 551–563.
  • R. B. Shirts (1993a) The computation of eigenvalues and solutions of Mathieu’s differential equation for noninteger order. ACM Trans. Math. Software 19 (3), pp. 377–390.
  • R. Spigler (1984) The linear differential equation whose solutions are the products of solutions of two given differential equations. J. Math. Anal. Appl. 98 (1), pp. 130–147.
  • 3: 3.11 Approximation Techniques
    Then there exists a unique n th degree polynomial p n ( x ) , called the minimax (or best uniform) polynomial approximation to f ( x ) on [ a , b ] , that minimizes max a x b | ϵ n ( x ) | , where ϵ n ( x ) = f ( x ) p n ( x ) . … of type [ k , ] to f on [ a , b ] minimizes the maximum value of | ϵ k , ( x ) | on [ a , b ] , where … With b 0 = 1 , the last q equations give b 1 , , b q as the solution of a system of linear equations. … that minimizesof given functions ϕ k ( x ) , k = 0 , 1 , , n , that minimizes