Email this article A Higher Order Asymptotic Expansion of the Krawtchouk Polynomials
- Authors: Minabutdinov A.R.1
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Affiliations:
- National Research University Higher School of Economics
- Issue: Vol 215, No 6 (2016)
- Pages: 738-747
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237720
- DOI: https://doi.org/10.1007/s10958-016-2879-x
- ID: 237720
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Abstract
The paper extends a classical result on the convergence of the Krawtchouk polynomials to the Hermite polynomials. We provide a uniform asymptotic expansion in terms of Hermite polynomials and obtain explicit expressions for a few first terms of this expansion. The research is motivated by the study of ergodic sums of the Pascal adic transformation. Bibliography: 10 titles.
About the authors
A. R. Minabutdinov
National Research University Higher School of Economics
Author for correspondence.
Email: aminabutdinov@gmail.com
Russian Federation, St.Petersburg
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