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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
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Index Transforms (Hardcover)
Loot Price: R1,780
Discovery Miles 17 800
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Index Transforms (Hardcover)
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This book deals with the theory and some applications of integral
transforms that involve integration with respect to an index or
parameter of a special function of hypergeometric type as the
kernel (index transforms). The basic index transforms are
considered, such as the Kontorovich-Lebedev transform, the
Mehler-Fock transform, the Olevskii Transform and the
Lebedev-Skalskaya transforms. The Lp theory of index transforms is
discussed, and new index transforms and convolution constructions
are demonstrated. For the first time, the essentially
multidimensional Kontorovich-Lebedev transform is announced.
General index transform formulae are obtained. The connection
between the multidimensional index kernels and G and H functions of
several variables is presented. The book is self-contained, and
includes a list of symbols with definitions, author and subject
indices, and an up-to-date bibliography.This work will be of
interest to researchers and graudate students in the mathematical
and physical sciences whose work involves integral transforms and
special functions.
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