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The classical Lebedev index transform [3] involving squares and products of the Legendre functions is generalized on the associated Legendre functions of an arbitrary order. Mapping properties are investigated in… Click to show full abstract
The classical Lebedev index transform [3] involving squares and products of the Legendre functions is generalized on the associated Legendre functions of an arbitrary order. Mapping properties are investigated in the Lebesgue spaces. Inversion formulas are proved. As an application, a solution to the boundary value problem for a third order partial differential equation is obtained.
Keywords:
legendre functions;
associated legendre;
lebedev type;
type index;
index transforms
Journal Title: Acta Mathematica Hungarica
Year Published: 2017
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Journal Title: Acta Mathematica Hungarica
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!