A class of integral equations and index transformations related to the modified and incomplete Bessel functions

DOI10.1216/JIE-2010-22-1-141zbMath1191.45003OpenAlexW2000744161MaRDI QIDQ973897

Semyon B. Yakubovich

Publication date: 26 May 2010

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jie-2010-22-1-141

zbMATH Keywords

Fourier transforminversion formulaKontorovich-Lebedev transformmodified Bessel functionintegral equation of the first kindincomplete Bessel function

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

• On the Kontorovich-Lebedev transformation
• INCOMPLETE BESSEL FUNCTIONS. I
• The Kontorovich–Lebedev transformation on distributions of compact support and its inversion
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A class of integral equations and index transformations related to the modified and incomplete Bessel functions