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Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition
book

Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition

by Andrei D. Polyanin, Vladimir E. Nazaikinskii
December 2015
Intermediate to advanced content levelIntermediate to advanced
1643 pages
59h 33m
English
Chapman and Hall/CRC
Content preview from Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition
1178 SEPARATION OF VARIABLES AND INTEGRAL TRANSFORM METHODS
where the integration path is parallel to the imaginary axis of the complex plane s and the
integral is understood in the sense of the C auchy principal value.
Formula (15.2.4.2) holds for continuous functions. If f (x) has a (finite) jump dis-
continuity at a point x = x
0
> 0, then the right-hand side of (15.2.4.2) evaluates to
1
2
f(x
0
0) + f (x
0
+ 0)
at this point (for x
0
= 0, the first term in the square brack-
ets must be omitted).
2
. The main properties of the correspondence between the functions and their Mellin
transforms are gathered in Table 15.5.
TABLE 15.5
Main properties of the Mellin ...
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Publisher Resources

ISBN: 9781466581494