Une étude asymptotique probabiliste des coefficients d'une série entière

Abstract : Following the ideas of Rosenbloom [7] and Hayman [5] we use a probabilistic way to study the asymptotic behavior of the coefficients of a power series. In this frame we give a convergence theorem to a normal distribution. We then apply the method of Luis Baez-Duarte [1] to the asymptotic study of the number of restricted partitions of a positive integer.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

https://hal.univ-cotedazur.fr/hal-00720010
Contributor : Michel Miniconi <>
Submitted on : Monday, July 23, 2012 - 1:28:34 PM
Last modification on : Thursday, January 11, 2018 - 6:12:16 AM
Long-term archiving on: Friday, December 16, 2016 - 2:14:47 AM

File

ArticlePartitions.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00720010, version 1

Citation

Bernard Candelpergher, Michel Miniconi. Une étude asymptotique probabiliste des coefficients d'une série entière. 2012. ⟨hal-00720010v1⟩

Share

Metrics

Record views

79

Files downloads

67