02543nam a22003855i 4500001001800000003000900018008004100027020001800068024003500086035002000121041000800141082001500149100003300164245010900197250002200306264007900328300005300407336002600460337002600486338003600512347002400548490003000572500001300602505023700615520098900852650002601841650001301867650002301880700003101903856005601934915001201990932004302002596000602045949010602051978-3-030-35089-5Springer191114s2019 gw | s |||| 0|eng d a97830303508957 a10.1007/978-3-030-35089-52doi a(Sirsi) a809919 aeng04a530.152231 aAkhmedova, Valeriya,eauthor10aSelected Special Functions for Fundamental Physicsh[E-Book] /cby Valeriya Akhmedova, Emil T. Akhmedov. a1st edition 2019. 1aCham :bSpringer,c2019e(Springer LINK)fSpringerPhysicsAstronomy20200630 aXI, 116 pages 20 illustrations (online resource) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda aSpringerBriefs in Physics aenglisch0 aIntroduction -- Gamma-function -- Riemann zeta-function -- Hermite polynomials -- Bessel functions -- Legendre polynomials and spherical functions -- Hypergeometric functions -- Degenerate hypergeometric function -- Theta-functions. aThis book presents calculation methods that are used in both mathematical and theoretical physics. These methods will allow readers to work with selected special functions and more generally with differential equations, which are the most frequently used in quantum mechanics, theory of relativity and quantum field theory. The authors explain various approximation methods used to solve differential equations and to estimate integrals. They also address the basics of the relations between differential equations, special functions and representation theory of some of the simplest algebras on the one hand, and fundamental physics on the other. Based on a seminar for graduate physics students, the book offers a compact and quick way to learn about special functions. To gain the most from it, readers should be familiar with the basics of calculus, linear algebra, and complex analysis, as well as the basic methods used to solve differential equations and calculate integrals. . 0aMathematical physics. 0aPhysics. 0aSpecial functions.1 aAkhmedov, Emil T.,eauthor40uhttps://doi.org/10.1007/978-3-030-35089-5zVolltext azzwFZJ3 aPhysics and Astronomy (Springer-11651) a1 aXX(809919.1)wAUTOc1i809919-1001lELECTRONICmZBrNsYtE-BOOKu30/6/2020xUNKNOWNzUNKNOWN1ONLINE