Integral transforms and their applications

Stresses the development of analytical skills rather than the importance of more abstract formulation. This book provides a working knowledge of the analytical methods required in pure and applied mathematics, physics, and engineering. It contains more than 500 worked examples and exercises with ans...

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Bibliographic Details
Main Author: Debnath, Lokenath
Other Authors: Bhatta, Dambaru
Format: Book
Language:English
Published: Boca Raton : Chapman & Hall/CRC, ©2007
Edition:2nd ed. /
Subjects:
Table of Contents:
  • Integral transforms
  • Fourier transforms and their applications
  • Laplace transforms and their basic properties
  • Applications of Laplace transforms
  • Fractional calculus and its applications
  • Applications of integral transforms to fractional differential and integral equations
  • Hankel transforms and their applications
  • Mellin transforms and their applications
  • Hilbert and Stieltjes transforms
  • Finite fourier sine and cosine transforms
  • Finite Laplace transforms
  • Z transforms
  • Finite Hankel transforms
  • Legendre transforms
  • Jacobi and Gregenbauer transforms
  • Laguerre transforms
  • Hermite transforms
  • The radon transform and its applications
  • Wavelets and wavelet transforms
  • Appendix: A. Some special functions and their products
  • B. Tables of integral transforms