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Integral Expansions Related to Mehler-Fock Type Transforms: Chapman & Hall/CRC Research Notes in Mathematics Series

Autor B N Mandal, Nanigopal Mandal
en Limba Engleză Paperback – 12 dec 2019
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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Specificații

ISBN-13: 9780367448301
ISBN-10: 0367448300
Pagini: 144
Dimensiuni: 165 x 241 mm
Greutate: 0.27 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Chapman & Hall/CRC Research Notes in Mathematics Series


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Cuprins

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

Notă biografică

Mandal\, B N; Mandal\, Nanigopal

Descriere

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.