Slavyanov S., Lay W. - Special Functions A Unified Theory Based on Singularities :: Электронная библиотека попечительского совета мехмата МГУ

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Электронная библиотека Попечительского совета
механико-математического факультета
Московского государственного университета

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Slavyanov S., Lay W. - Special Functions A Unified Theory Based on Singularities

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Название: Special Functions A Unified Theory Based on Singularities

Авторы: Slavyanov S., Lay W.

Аннотация:

Slavyanov (St. Petersburg State U.) and Lay (U. Stuttgart) present a new theory of special functions as a field of knowledge lying at the intersection of mathematics, physics, and computer science. Chapters discuss linear second-order ODEs with polynomial coefficients; the hypergeometric class of equations; the Heun class of equations; application to physical sciences; and the Painleve class of equations.Book News, Inc.R, Portland, OR

Язык:

Рубрика: Математика/Анализ/Специальные функции/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 293

Добавлена в каталог: 15.04.2005

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Предметный указатель

Abel, n.h. limiting value theorem      170
Accessory parameter      182
Airy equation      55
Almost-periodic      203
Annihilation      228
Anti-stokes ray      29
Apparent singularity      244
Ars conjecture      234
Atomic physics      166
Avoided crossings      200 221
Backward recursion      223
Bessel equation      55
beta function      252
Birkhoff, g.d. set      172 175
Birkhoff, g.d. solutions      223
Bloch, f. theorem      202
Born - Oppenheimer approximation      167
Boyer - Lindquist coordinates      170
Brower, D.      208
Brown, E.W.      208
Burgers vector      178
Cartesian coordinate      166
Characteristic exponent      5 113
Characteristic exponent floquet      28
Characteristic exponent path-multiplicative      28
Characteristic exponent second kind      12
Characteristic multiplier      12
Clemence, G.M.      208
Confluence process      17 172
Confluence process strong      17
Confluence process weak      17
Connection problem central      38 150 163 171 181 196 202 216
Connection problem lateral      202
Continued fraction infinite      170 188
Crystal      177 227
Delaunay, ch.      203
Determinant infinite      202 208
Diffusion      228
Diffusion coefficient      230
Diffusion equation      230
Dislocation      177
Earth      202
Eckert, w.j.      208
Ecliptic      202
Einstein, a. field equations      170 171
Electron      227
Equation class      20
Equation generic      20
Equation type      21
Eshelby potential      181
Feynman, r.p. path integral      194
Finite order      1
Floquet, g. exponent      113 210
Floquet, g. theorem      202
Force acceleration      205
Force centrifugal      205
Force Coriolis      205
Force gravitational      205
Form of an equation      4
Form of an equation canonical      4
Form of an equation general      21
Form of an equation natural      5
Form of an equation self-adjoint      21
Fourier expansion      205
Fourier series      202 208
Frobenius exponent      5
Frobenius solution      165
Gamma function      250
Gamma function duplication formula      253
Gamma function reflection formula      253
Gamma function stirling asymptotics      251
Gauss, c.f. convergence criterion      170
Gauss, c.f. equation      56
Glide plane      177
Goldstone mode      189
Gravitation      170
Gutzwiller, m.c      208
Hamilton function      205
Hermite equation      61
Heun equation      97
Heun equation (contd.) deformed      244
Heun equation (contd.) doubly confluent      104
Heun equation (contd.) doubly reduced doubly confluent      108
Heun equation (contd.) reduced biconfluent      106
Heun equation (contd.) reduced doubly confluent      106
Heun equation (contd.) reduced singly confluent      106
Heun equation (contd.) reduced triconfluent      108
Heun equation (contd.) singly confluent      99
Heun equation (contd.) triconfluent      104
Heun equation biconfluent      102
Heun, k. centennial workshop      97
Hill, G.W.      202 204
Hund, F.      168
Hydrogen      166
Hydrogen atom      164
Hydrogen molecule ion      167
Hypergeometric equation      55
Hypergeometric equation biconfluent      55
Hypergeometric equation confluent      55
Hypergeometric equation reduced biconfluent      55
Hypergeometric equation reduced confluent      55
Integral representation      73

Interstitial      228
Irradiation      227
Isomonodromic conditions      247
Jacobian elliptic function      228
Jaffe, g.      168
Jaffe, g. expansion      216
Jaffe, g. transformation      168 226
Kepler, J.      203
Kepler, j. ellipse      202
Kepler, j. trajectory      205
Kerr, R.P.      170
Kerr, r.p. metric      171
Kinkpair      179
Kruskal, M.      235
Lattice      227
Lax pair      249
Leaver, e.w.      171
Line-tension model      178
Lunar node line      203
Lunar perigee      203
Main problem of lunar theory      202
Metric      171
Monodromy data      28
Month anomalistic      204
Month draconitic      204
Month sideral      204
Moon      202
Newton, I.      204 205
Nucleation      180
Painleve, P.      233
Painleve, p. equations      233
Painleve, p. property      233
Painleve, p. transcendents      233
Pauli, W.      168
Peierls, r. potential      178
Periodic orbit      205
Planck constant      164 168
Plastic deformation      177
Pochhammer symbol      254
Poincare - Perron      172
Poincare, H.      208
Polynomial Chebyshev      91 94
Polynomial Gegenbauer      91
Polynomial generating function      93
Polynomial Hermite      84 95
Polynomial hypergeometric      84 86
Polynomial Jacobi      84 90
Polynomial Laguerre      84 94
Polynomial Legendre      91 93
Polynomial orthogonal      227
Polynomial quasi      88
Polynomial ultraspherical      91
Preserving deformations condition      247
Quadrupolar      205
Quantum diffusion      192
Quasi-normal modes      171
Reduction process      19
Riemann, b. equation      55
Riemann, b. generalized scheme      31 32 216
Ritz method      200
Rodrigues formula      87
S-rank      7
Schmidt, D.      208
Schrodinger, e. equation      164 202
Schwarzschild, K.      171
Sidereal year      204
Singular value      235
Singularity      1
Singularity apparent      1 7
Singularity elementary      6
Singularity fixed      232
Singularity fuchsian      2
Singularity irregular      2
Singularity movable      232
Singularity regular      2
Slater equation      55
Solution floquet      28
Solution normal      12
Solution path-multiplicative      28
Solution subnormal      12
Solution thome      11
Spherical coordinates      164
Stark effect      166
Stokes, g.g. domains      216
Stokes, g.g. lines      216 219
Stokes, g.g. matrix      221
Stokes, g.g. phenomenon      149 221 227
Stokes, g.g. ray      29
Stokes, g.g. sector      29
Sun      202
Teukolsky, S.A.      171
Thome solution      165
Thome solution dominant      29
Thome solution recessive      29
Three-body problem      204
Tracer      229
Tunneling      194
Two-body problem      204
Two-centres problem      202
Vacancies      228
Whittaker equation      55
wronskian      58

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