An important class of integral expansions generated by Sturm-Liouville theory involving spherical harmonics is commonly known as Mehler-Fock integral transforms. In this book, a number of integral expansions of such type have been established rigorously. As applications, integral expansions of some simple function are also obtained.

 Integral expansions related to Mehler-Fock transforms;

integral expansions relaated to Mehler-Fock type transforms involving associated Legendre functions;

integral expansions related to Mehler-Fock type transforms involving generalized associated Legendre functions;

some further integral expansions.
 

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