Probabilistic proofs of asymptotic formulas for some classical polynomials

DOI10.1017/S0305004100063088zbMath0557.33006OpenAlexW2170418144MaRDI QIDQ3222475

Makoto Maejima, Walter Van Assche

Publication date: 1985

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100063088

zbMATH Keywords

asymptotic formulasMeixner polynomialslocal limit theoremsCharlier polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Stochastic processes (60G99)

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Cites Work

• Asymptotische Entwicklungen der Laguerreschen Polynome
• A Complete Set of Asymptotic Formulas for the Whittaker Function and the LaGuerre Polynomials
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