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associated Laguerre polynomials

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11: Bibliography T
  • N. M. Temme (1986) Laguerre polynomials: Asymptotics for large degree. Technical report Technical Report AM-R8610, CWI, Amsterdam, The Netherlands.
  • N. M. Temme (1990a) Asymptotic estimates for Laguerre polynomials. Z. Angew. Math. Phys. 41 (1), pp. 114–126.
  • E. C. Titchmarsh (1946) Eigenfunction Expansions Associated with Second-Order Differential Equations. Clarendon Press, Oxford.
  • E. C. Titchmarsh (1958) Eigenfunction Expansions Associated with Second Order Differential Equations, Part 2, Partial Differential Equations. Clarendon Press, Oxford.
  • F. G. Tricomi (1949) Sul comportamento asintotico dell’ n -esimo polinomio di Laguerre nell’intorno dell’ascissa 4 n . Comment. Math. Helv. 22, pp. 150–167.
  • 12: 18.2 General Orthogonal Polynomials
    §18.2(vi) Zeros
    §18.2(x) Orthogonal Polynomials and Continued Fractions
    Define the first associated monic orthogonal polynomials p n ( 1 ) ( x ) as monic OP’s satisfying … In fact, these are the only OP’s which are Sheffer polynomials (with Krawtchouk polynomials being only a finite system) …