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010   $a3-030-64232-1
024 7 $a10.1007/978-3-030-64232-7
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035   $a(MiAaPQ)EBC6483664
035   $a(PPN)253861861
035   $a(BIP)79243126
035   $a(BIP)77890208
035   $a(DE-He213)978-3-030-64232-7
035   $a(EXLCZ)994100000011774027
100   $a20210218d2021      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aSpecial Functions in Physics with MATLAB /$fby Wolfgang Schweizer
205   $a1st ed. 2021.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021.
215   $a1 online resource (xvii, 282 pages) $cillustrations
311 08$a3-030-64231-3 
320   $aIncludes bibliographical references and index.
327   $a1. 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.
330   $aThis handbook focuses on special functions in physics in the real and complex domain. It covers more than 170 different functions with additional numerical hints for efficient computation, which are useful to anyone who needs to program with other programming languages as well. The book comes with MATLAB-based programs for each of these functions and a detailed html-based documentation. Some of the explained functions are: Gamma and Beta functions; Legendre functions, which are linked to quantum mechanics and electrodynamics; Bessel functions; hypergeometric functions, which play an important role in mathematical physics; orthogonal polynomials, which are largely used in computational physics; and Riemann zeta functions, which play an important role, e.g., in quantum chaos or string theory. The book?s primary audience are scientists, professionals working in research areas of industries, and advanced students in physics, applied mathematics, and engineering.
606   $aMathematical physics
606   $aComputer simulation
606   $aSpecial functions
606   $aMathematics$xData processing
606   $aComputational Physics and Simulations
606   $aSpecial Functions
606   $aTheoretical, Mathematical and Computational Physics
606   $aComputational Mathematics and Numerical Analysis
615  0$aMathematical physics.
615  0$aComputer simulation.
615  0$aSpecial functions.
615  0$aMathematics$xData processing.
615 14$aComputational Physics and Simulations.
615 24$aSpecial Functions.
615 24$aTheoretical, Mathematical and Computational Physics.
615 24$aComputational Mathematics and Numerical Analysis.
676   $a530.15
700   $aSchweizer$b Wolfgang$c(Computer scientist),$01246207
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910484904003321
996   $aSpecial Functions in Physics with MATLAB$94286327
997   $aUNINA