Index integral transformations of Titchmarsh type

• Tipo: Artigo em Revista Científica Internacional
• Data: 1997

Autores

Yakubovich, SB (Autor) Outra

Revista

Título: Journal of Computational and Applied Mathematics

Vol. 85

Páginas: 169-179

ISSN: 0377-0427

Editora: Elsevier

Indexação

ISI Web of Knowledge

Scopus - 6 Citações

Outras Informações

ID Authenticus: P-007-7T1

Abstract (EN): In 1946 Titchmarsh [4] introduced the integral transformation g(¿)= (latin small letter esh)¿0 ReJi¿(x)f(x)dx, which depends on the index of a Bessel function, in connection with a continuous spectral Bessel function expansion in Sturm-Liouville boundary value problems. Here, we generalize this transformation by using the composition properties and a relationship with the Kontorovich-Lebedev and the Mellin-type transformations, and we give a variety of index transformations with a linear combination depending on a parameter of real and imaginary parts of a Bessel function. As it is shown the inversion formula consists of the integral over the index of a Lommel function.

Idioma: Inglês

Tipo (Avaliação Docente): Científica