Special Functions in Physics with MATLAB

Wolfgang Schweizer obtained his doctoral degree in physics from the University of Tübingen in 1985, received his Venia Legendi in theoretical physics in 1995, and was appointed extraordinary professor in 2002. In the period 1987–1988, he worked as a postdoctoral researcher in the Department of Mathematics at the RHBNC (University London) and, from 1996 to 1999, at the University of Bochum, where he was involved in a research project granted by the German Research Foundation. Apart from that, he was teaching in the Department of Theoretical Astrophysics and Computational Physics at the University of Tübingen, focusing on computational physics till 2018 and doing research till 2000. In the last two decades, he worked at Math Works in Germany, where he became manager of the training department.

• 1. Gamma Functions, Beta Functions, and related.- 2. Error Functions and Fresnel Integrals.- 3. Legendre Polynomials and Legendre Functions.- 4. Bessel and Airy Functions.- 5. Struve Functions and Related Functions.- 6. Confluent Hypergeometric Function.- 7. Coulomb Wave Functions.- 8. Hypergeometric Functions.- 9. J Functions.- 10. Jacobi Elliptic Functions.- 11. Elliptic Integrals.- 12. Weierstraß Functions.- 13. Parabolic Cylinder Functions.- 14. Mathieu Functions.- 15. Orthogonal Polynomials - General Aspects.- 16. Hermite Polynomials.- 17. Laguerre Polynomials.- 18. Chebychev Polynomials.- 19. Bernoulli and Euler Polynomials.- 20. Riemann Zeta Function.- 21. Piecewise Interpolation Polynomials.- 22. Wigner- and Clebsch-Gordan Coefficients.- 23. Coordinate Systems.