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2005 PARSEVAL'S FORMULA FOR DOUBLE LAGUERRE SERIES
Chang-Pao Chen, Chin-Cheng Lin
Taiwanese J. Math. 9(2): 281-289 (2005). DOI: 10.11650/twjm/1500407803

Abstract

Let $a \ge 0$. We give sufficient conditions on $\{c_{jk}\}$ to obtain Parseval's formula for the corresponding double Laguerre series $\sum_{j=0}^{\infty} \sum_{k=0}^{\infty} c_{jk} \mathcal{L}^a_j(x) \mathcal{L}^a_k(y)$.

Citation

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Chang-Pao Chen. Chin-Cheng Lin. "PARSEVAL'S FORMULA FOR DOUBLE LAGUERRE SERIES." Taiwanese J. Math. 9 (2) 281 - 289, 2005. https://doi.org/10.11650/twjm/1500407803

Information

Published: 2005
First available in Project Euclid: 18 July 2017

zbMATH: 1100.42024
MathSciNet: MR2142578
Digital Object Identifier: 10.11650/twjm/1500407803

Subjects:
Primary: 42C10 , 42C15

Keywords: double Laguerre series , Parseval's formula , rectangular partial sums

Rights: Copyright © 2005 The Mathematical Society of the Republic of China

Vol.9 • No. 2 • 2005
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