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math.CA2019
Discrete Mehler-Fock transforms
Semyon Yakubovich
Discrete analogs of the classical Mehler-Fock transforms are introduced and investigated. It involves series with the associated Legendre function $P^μ_{in-1/2}(x), x > 1,\ {\rm Re…
math.CA2019
Index transforms with the product of the associated Legendre functions
Semyon Yakubovich
Index transforms with the product of the associated Legendre functions are introduced. Mapping properties are investigated in the Lebesgue spaces. Inversion formulas are proved. Th…