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.
1. Introduction 2. Integral expansions related to Mehler-Fock transforms 3. Integral expansions related to Mehler-Fock type transforms involving associated Legendre functions 4. Integral expansions related to Mehler-Fock type transforms involving generalized associated Legendre functions 5. Some further integral expansions