Index transforms associated with Bessel and Lommel functions

DOI10.4171/ZAA/1099zbMath1013.44003MaRDI QIDQ1848658

Semyon B. Yakubovich

Publication date: 2 July 2003

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

inversion formulasLommel functionsindex transformsBessel function transformsMacdonald and hypergeometric functionsParseval equalitiesPlancherel type theorems

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral transforms of special functions (44A20) Other functions defined by series and integrals (33E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (1)

Integral transformations by the index of Lommel's function

Cites Work

• Index integral transformations of Titchmarsh type
• The Titchmarsh integral transformation by the index of a Bessel function
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