This book presents various integral expansions related to the Mehler-Fock and Mehler-Fock type transforms involving spherical harmonics, namely, Legendre, associated Legendre, generalized associated Legendre, non-periodic Legendre and associated Legendre functions.

This text establishes a number of integral expansions of Mehler-Fock type and also obtains as applications some simple functions. The book is designed to motivate researchers in applied mathematics to initiate work on appropriate physical problems in contiuum mechanics and wave diffraction.