On the Fourier cosine-Kontorovich-Lebedev generalized convolution transforms.

DOI10.1007/S10492-013-0023-5zbMath1289.44005OpenAlexW2041266583MaRDI QIDQ375449

Nguyen Thanh Hong, Nguyen Xuan Thao, Trinh Tuan

Publication date: 30 October 2013

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143341

zbMATH Keywords

convolutionintegro-differential equationHölder inequalityKontorovich-Lebedev transformFourier cosineWatson's theoremYoung's theorem

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Integro-ordinary differential equations (45J05) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (3)

Generalized convolution for the Kontorovich-Lebedev, Fourier transforms and applications to acoustic fields ⋮ Some results of Watson and Plancherel‐type integral transforms related to the Hartley, Fourier convolutions and applications ⋮ On the Fourier–Laplace convolution transforms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symmetries of integro-differential equations. With applications in mechanics and plasma physics
• Integral transforms of Fourier cosine convolution type
• Integral transforms of the Kontorovich-Lebedev convolution type
• Integral transforms related to a generalized convolution
• Convolutions related to the Fourier and Kontorovich–Lebedev transforms revisited
• A class of integral transforms related to the fourier cosine convolution
• A Class of Integral Transforms
• Operational Calculus and Related Topics

This page was built for publication: On the Fourier cosine-Kontorovich-Lebedev generalized convolution transforms.