The integro‐differential operators of infinite order on the half line related to the Legendre operator

DOI10.1002/mma.9019OpenAlexW4313596132MaRDI QIDQ6139287

Pham Van Hoang

Publication date: 18 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.9019

zbMATH Keywords

convolutionLegendre functionsMehler-Fock transforminfinite order differential operators

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10) Ordinary differential equations of infinite order (34A35) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Cites Work

• An index integral and convolution operator related to the kontorovich-lebedev and mehler-Fock transforms
• A note on differential operators of infinite order.
• Integral transforms of the Kontorovich-Lebedev convolution type
• On infinite order differential operators in fractional viscoelasticity
• On the Convolution Theorem of the Mehler-Fock-Transform for a Class of Generalized Functions (I)
• BOUNDEDNESS AND INVERSION PROPERTIES OF CERTAIN CONVOLUTION TRANSFORMS
• Infinite-Order Differential Equations and the Heat Equation
• The convolution for zero-order Mehler–Fock transform and pseudo-differential operator
• Operational Calculus and Related Topics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item