Lebedev type index transforms with the squares of the associated Legendre functions

• Type: Article in International Scientific Journal
• Date: 2017

Authors

Yakubovich, SB (Author) FCUP

Journal

Title: Acta Mathematica Hungarica

Vol. 153

Pages: 57-74

ISSN: 0236-5294

Publisher: Springer Nature

Indexing

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Other information

Authenticus ID: P-00N-0SS

DOI: 10.1007/s10474-017-0748-9

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 18