Convergence of double Laguerre series

Chang Pao Chen, Chin Cheng Lin

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Let smn(x, y) denote the rectangular partial sums of the double Laguerre series with the coefficients {cjk}. We give sufficient conditions on {cjk} to obtain the regular convergence and weighted Lr-convergence of smn(x, y).

Original languageEnglish
Pages (from-to)533-544
Number of pages12
JournalTaiwanese Journal of Mathematics
Volume6
Issue number4
DOIs
StatePublished - Dec 2002

Keywords

  • Double Laguerre series
  • Mean convergence
  • Rectangular partial sums
  • Regular convergence

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