[PDF] Special functions for scientists and engineers

ISBN: 0442006829

Category: Tutorial


Posted on 2017-11-29, by luongquocchinh.

Description



Author: William Wallace Bell | Category: Mathematics | Language: English | Page: 247 | ISBN: 0442006829 | ISBN13: 9780442006822 |

Description: Functions covered are: Laguerre polynomials, Legendre polynomials, Bessel functions, Chebyshev polynomials, Debye functions, Elliptic function, Error function, Fresnel integrals, Gamma function (Incomplete/Complete), Gegenbauer polynomials, Jacobi polynomials, Hankel functions, Hermite polynomials, Hypergeometric functions, Kelvin's functions, Kummer function, Logarithmic integral, Neumann functions, Riemann Zeta function, Weber-Hermite functions. The Chapter list is as follows: 1. Series solution of Differential Equations 2. Gamma and Beta functions 3. Legendre polynomials and functions 4. Bessel functions 5. Hermite polynomials 6. Laguerre polynomials 7. Chebyshev polynomials 8. Gegenbauer and Jacobi polynomials 9. Hypergeometric functions 10. Other special functions All the other functions i listed before are covered in less detail than the main chapter titles. This book has a very great deal of recursive ways of finding identities between special functions and does a good job doing so. I read this to learn more about the special functions i was using in some of my physics classes to get more depth about them and this book definitely covers a good deal of deriving a lot of these interesting identities through mostly recursive relations, summation methods and identities between previously proven functions so there is a lot of flipping if you want to check between steps.

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