Asymptotic analysis of the Askey-scheme I: from Krawtchouk to Charlier

Diego Dominici

Open Mathematics (2007)

  • Volume: 5, Issue: 2, page 280-304
  • ISSN: 2391-5455

Abstract

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We analyze the Charlier polynomials C n(χ) and their zeros asymptotically as n → ∞. We obtain asymptotic approximations, using the limit relation between the Krawtchouk and Charlier polynomials, involving some special functions. We give numerical examples showing the accuracy of our formulas.

How to cite

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Diego Dominici. "Asymptotic analysis of the Askey-scheme I: from Krawtchouk to Charlier." Open Mathematics 5.2 (2007): 280-304. <http://eudml.org/doc/269797>.

@article{DiegoDominici2007,
abstract = {We analyze the Charlier polynomials C n(χ) and their zeros asymptotically as n → ∞. We obtain asymptotic approximations, using the limit relation between the Krawtchouk and Charlier polynomials, involving some special functions. We give numerical examples showing the accuracy of our formulas.},
author = {Diego Dominici},
journal = {Open Mathematics},
keywords = {Charlier polynomials; Askey-scheme; asymptotic analysis; orthogonal polynomials; hypergeometric polynomials; special functions},
language = {eng},
number = {2},
pages = {280-304},
title = {Asymptotic analysis of the Askey-scheme I: from Krawtchouk to Charlier},
url = {http://eudml.org/doc/269797},
volume = {5},
year = {2007},
}

TY - JOUR
AU - Diego Dominici
TI - Asymptotic analysis of the Askey-scheme I: from Krawtchouk to Charlier
JO - Open Mathematics
PY - 2007
VL - 5
IS - 2
SP - 280
EP - 304
AB - We analyze the Charlier polynomials C n(χ) and their zeros asymptotically as n → ∞. We obtain asymptotic approximations, using the limit relation between the Krawtchouk and Charlier polynomials, involving some special functions. We give numerical examples showing the accuracy of our formulas.
LA - eng
KW - Charlier polynomials; Askey-scheme; asymptotic analysis; orthogonal polynomials; hypergeometric polynomials; special functions
UR - http://eudml.org/doc/269797
ER -

References

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