Parseval's formula for double Laguerre series

Chang Pao Chen; Chin Cheng Lin

doi:10.11650/twjm/1500407803

Parseval's formula for double Laguerre series

Chang Pao Chen, Chin Cheng Lin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let a ≥ 0. We give sufficient conditions on {c_jk} to obtain Parseval's formula for the corresponding double Laguerre series ∑_j=0^∞ ∑_k=0^∞ c_jkℒ_j^a(x)ℒ_k ^a(y).

Original language	English
Pages (from-to)	281-289
Number of pages	9
Journal	Taiwanese Journal of Mathematics
Volume	9
Issue number	2
DOIs	https://doi.org/10.11650/twjm/1500407803
State	Published - Jun 2005

Keywords

Double Laguerre series
Parseval's formula
Rectangular partial sums

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10.11650/twjm/1500407803

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title = "Parseval's formula for double Laguerre series",

abstract = "Let a ≥ 0. We give sufficient conditions on {cjk} to obtain Parseval's formula for the corresponding double Laguerre series ∑j=0∞ ∑k=0∞ cjkℒja(x)ℒk a(y).",

keywords = "Double Laguerre series, Parseval's formula, Rectangular partial sums",

author = "Chen, {Chang Pao} and Lin, {Chin Cheng}",

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AU - Lin, Chin Cheng

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AB - Let a ≥ 0. We give sufficient conditions on {cjk} to obtain Parseval's formula for the corresponding double Laguerre series ∑j=0∞ ∑k=0∞ cjkℒja(x)ℒk a(y).

KW - Double Laguerre series

KW - Parseval's formula

KW - Rectangular partial sums

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DO - 10.11650/twjm/1500407803

M3 - 期刊論文

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JO - Taiwanese Journal of Mathematics

JF - Taiwanese Journal of Mathematics

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ER -

Parseval's formula for double Laguerre series

Abstract

Keywords

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