Index transforms with the product of the associated Legendre functions
arXiv:1904.00926
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.
arXiv admin note: substantial text overlap with arXiv:1701.03626