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2002 CONVERGENCE OF DOUBLE LAGUERRE SERIES
Chang-Pao Chen, Chin-Cheng Lin
Taiwanese J. Math. 6(4): 533-544 (2002). DOI: 10.11650/twjm/1500407477

Abstract

Let $s_{mn}(x,y)$ denote the rectangular partial sums of the double Laguerre series with the coefficients $\{c_{jk}\}$. We give sufficient conditions on $\{c_{jk}\}$ to obtain the regular convergence and weighted $L^r$-convergence of $s_{mn}(x,y)$.

Citation

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Chang-Pao Chen. Chin-Cheng Lin. "CONVERGENCE OF DOUBLE LAGUERRE SERIES." Taiwanese J. Math. 6 (4) 533 - 544, 2002. https://doi.org/10.11650/twjm/1500407477

Information

Published: 2002
First available in Project Euclid: 18 July 2017

zbMATH: 1027.42020
MathSciNet: MR1937478
Digital Object Identifier: 10.11650/twjm/1500407477

Subjects:
Primary: 42C10 , 42C15

Keywords: double Laguerre series , mean convergence , rectangular partial sums , Regular convergence

Rights: Copyright © 2002 The Mathematical Society of the Republic of China

Vol.6 • No. 4 • 2002
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