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The convolution for the Kontorovich–Lebedev transform revisited

  • Published:2016-08 Issue:1 Volume:440 Page:369-378
  • ISSN:0022-247X
  • Container-title:Journal of Mathematical Analysis and Applications
  • language:en
  • Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Hong Nguyen ThanhORCID,Hoang Pham VanORCID,Tuan Vu Kim

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference18 articles.

1. Handbook of Mathematical Functions, with Formulas, Graphs and Mathematical Tables;Abramowitz,1964

2. Sobolev Spaces;Adams,2003

3. Inequalities for Fourier cosine convolution and applications;Hong;Integral Transforms Spec. Funct.,2010

4. On the convolution for integral transforms;Kakichev;Izv. Vyssh. Uchebn. Zaved. Mat.,1967

5. On the method of solution for some problems in diffraction theory and related problems;Kontorovich;J. Exp. Theor. Phys.,1938

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1. The generalized Kontorovich–Lebedev transform and associated operators;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-05-25

2. The Whittaker Convolution;Convolution-like Structures, Differential Operators and Diffusion Processes;2022

3. Convolution-like Structures, Differential Operators and Diffusion Processes;Lecture Notes in Mathematics;2022

4. On the product formula and convolution associated with the index Whittaker transform;Journal of Mathematical Analysis and Applications;2019-07

5. Integral equation of Toeplitz plus Hankel's type and parabolic equation related to the Kontorovich‐Lebedev‐Fourier generalized convolutions;Mathematical Methods in the Applied Sciences;2018-09-21
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