Complex Functions Theory c-12
Publisher: Bookboon.com
Published: 2013
ISBN-13: 9788776817633
Table of contents: title: Content; title: 1. Special Functions; title: 1.1. The Gamma Function; title: 1.2. The Beta function; title: 1.3. The sine and cosine and exponential integrals; title: 1.4. The error function; title: 1.5. The Bessel functions; title: 2. Applications; title: 2.1. Linear ordinary differential equations; title: 2.2. Linear systems of ordinary differential equations; title: 2.3. Linear partial differential equations; title: 2.4. The Dirac measure; title: 2.5. The z transformation; title: 3. Extension of the inversion formula; title: 3.1. The inversion formula for analytic functions with branch cuts; title: 3.2. The inversion formula for functions with infinitely many singularities; title: 4. Appendices; title: 4.1. Trigonometric formulæ; title: 4.2. Integration of trigonometric polynomials; title: 4.3. Tables of some Laplace transforms and Fourier transforms; title: 5. Index