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ABSTRACT Index transforms with the product of the associated Legendre functions are introduced. Mapping properties are investigated in the Lebesgue spaces. Inversion formulas are proved. The results are applied to… Click to show full abstract
ABSTRACT Index transforms with the product of the associated Legendre functions are introduced. Mapping properties are investigated in the Lebesgue spaces. Inversion formulas are proved. The results are applied to solve a boundary value problem in a wedge for a third order partial differential equation.
Keywords:
legendre functions;
transforms product;
associated legendre;
product associated;
index transforms
Journal Title: Integral Transforms and Special Functions
Year Published: 2019
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Journal Title: Integral Transforms and Special Functions
Year Published: 2019
Link to full text (if available)
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recommendations!