Integral Expansions Related to Mehler-Fock Type Transforms

by B N Mandal , Nanigopal Mandal

Book Details

Format Hardback or Cased Book

Book Series Chapman & Hall/CRC Research Notes in Mathematics Series

ISBN-10 058230816X

ISBN-13 9780582308169

Publisher Taylor & Francis Ltd

Imprint CRC Press

Country of Manufacture GB

Country of Publication GB

Publication Date Apr 28th, 1997

Print length 144 Pages

Weight 254 grams

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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.

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.

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