Hankel Generalized Convolutions with the Associated Legendre Functions in the Kernel and Their Applications

DOI10.1007/978-3-030-35914-0_3zbMath1442.42026OpenAlexW3015669238MaRDI QIDQ3296643

Lyubov E. Britvina

Publication date: 1 July 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-35914-0_3

zbMATH Keywords

convolutionintegral equationsHankel transformWatson's theoremconvolution transform

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Convolution, factorization for one variable harmonic analysis (42A85) Linear integral equations (45A05) General integral transforms (44A05)

Cites Work

• Variation diminishing Hankel transforms
• Integral transforms of Fourier cosine and sine generalized convolution type
• Integral transforms of Fourier cosine convolution type
• Integral transforms of the Kontorovich-Lebedev convolution type
• Integral transforms related to a generalized convolution
• On polyconvolutions generated by the Hankel transform
• Integral operators related to generalized convolutions for Hankel transform
• A class of integral transforms related to the fourier cosine convolution
• Generalized convolutions for the Hankel transform and related integral operators
• Integral Equations Associated with Hankel Convolutions
• A Hankel convolution complex inversion theory
• A Miniature Theory in Illustration of the Convolution Transform
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