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On finite sums of Laguerre polynomials

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Publication:627373
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DOI10.1216/RMJ-2011-41-1-79zbMath1214.33004MaRDI QIDQ627373

Mark W. Coffey

Publication date: 1 March 2011

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

generalized hypergeometric functionLaguerre polynomials


Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Generalized hypergeometric series, ({}_pF_q) (33C20) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)


Related Items (2)

Extended Laguerre polynomials associated with Hermite, Bernoulli, and Euler numbers and polynomials ⋮ Some identities on Laguerre polynomials in connection with Bernoulli and Euler numbers




Cites Work

  • Polygamma theory, the Li/Keiper constants and the Li criterion for the Riemann hypothesis
  • The positivity of a sequence of numbers and the Riemann hypothesis
  • The theta-Laguerre calculus formulation of the Li/Keiper constants
  • The special functions and their approximations. Vol. I, II
  • Properties and possibilities of quantum shapelets
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