## Integral Transforms and Their Applications, Second EditionKeeping the style, content, and focus that made the first edition a bestseller, Integral Transforms and their Applications, Second Edition stresses the development of analytical skills rather than the importance of more abstract formulation. The authors provide a working knowledge of the analytical methods required in pure and applied mathematics, physics, and engineering. The second edition includes many new applications, exercises, comments, and observations with some sections entirely rewritten. It contains more than 500 worked examples and exercises with answers as well as hints to selected exercises. The most significant changes in the second edition include: A systematic mathematical treatment of the theory and method of integral transforms, the book provides a clear understanding of the subject and its varied applications in mathematics, applied mathematics, physical sciences, and engineering. |

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### Contents

Integral Transforms | 1 |

Fourier Transforms and Their Applications | 9 |

Laplace Transforms and Their Basic Properties | 133 |

Applications of Laplace Transforms | 181 |

Fractional Calculus and Its Applications | 269 |

Applications of Integral Transforms to Fractional Dfferential and Integral Equations | 283 |

Hankel Transforms and Their Applications | 315 |

Mellin Transforms and Their Applications | 339 |

Legendre Transforms | 485 |

Jacobi and Gegenbauer Transforms | 501 |

Laguerre Transforms | 511 |

Hermite Transforms | 525 |

The Radon Transform and Its Applications | 539 |

Wavelets and Wavelet Transforms | 563 |

Some Special Functions and Their Properties | 587 |

Tables of Integral Transforms | 611 |

Hilbert and Stieltjes Transforms | 371 |

Finite Fourier Sine and Cosine Transforms | 407 |

Finite Laplace Transforms | 429 |

Z Transforms | 445 |

Finite Hankel Transforms | 473 |

Answers and Hints to Selected Exercises | 645 |

673 | |

689 | |

### Common terms and phrases

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