Электронная библиотека Попечительского совета механико-математического факультета Московского государственного университета   Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум    Авторизация         Поиск по указателям Lewin L. — Polylogarithms and Associated Functions Обсудите книгу на научном форуме Нашли опечатку? Выделите ее мышкой и нажмите Ctrl+Enter Название: Polylogarithms and Associated Functions Автор: Lewin L. Язык: Рубрика: Математика/Анализ/Специальные функции/ Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1981 Количество страниц: 363 Добавлена в каталог: 12.04.2005 Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID Предметный указатель Abel, N. H.      8 18 28 31 93 135 174 177 238 240 262 269 356 Adams, J. C.      312 Andrews, C.      145 Appell      236 Ashour, A.      28 313 Bernoulli, J.      189 356 Bernoulli, numbers      193 Bernoulli, polynomials      200 236 Bertrand      18 28 Blissard, J.      23 Boehm. J.      115 Borsellino, A.      32 Bowman. F.      219 227 Clausen      32 33 35 69 73 102 158 191 246 312 Clausen, function      101 Clausen, function, addition equation      110 115 Clausen, function, expansion      105 106 Clausen, function, factorization formula      104 Clausen, function, functional equation      108 Clausen, function, geometric relations      115 Clausen, function, particular values      103 106 107 Clausen, function, periodic properties      102 Clausen, function, relation to       110 121 Clausen, function, relation to       106 107 Corrington, M. S.      28 313 Coxeter, H. S. M.      115 118 de Doelder, P. J.      23 267 definitions      27 Dilogarithm branch cut      2 Dilogarithm factorization formula      6 Dilogarithm functional equations, many variables      16 18 Dilogarithm functional equations, single variable      4 5 10 11 Dilogarithm functional equations, two variables      8 9 10 13 Dilogarithm integral equations      23—27 Dilogarithm inversion relation      4 Dilogarithm numerical relations      6 117 144 145 Dilogarithm series expansions      21 Dilogarithm of complex argument addition formula for the angle      141 147 Dilogarithm of complex argument factorization formula      123 Dilogarithm of complex argument functional equations, derived      134 Dilogarithm of complex argument functional equations, inversion relation      126 Dilogarithm of complex argument functional equations, single variable      126—130 Dilogarithm of complex argument functional equations, two variables      132 Dilogarithm of complex argument special values, angle      131 137—139 Dilogarithm of complex argument special values, argument      124—126 Eastham, M. S. P.      237 238 Edwards. J.      18 19 28 156 Erdelyi      28 Euler, L.      1 5 6 28 189 Euler, numbers      195 Feyer. W.      28 Finlayson, D.      35 Fletcher, A.      312 Fornberg, B.      314 Fuchs. W. H. J.      231 Functional equations      239 Generalized inverse tangent integral addition equation      96 Generalized inverse tangent integral definitions      41 68 Generalized inverse tangent integral derived relations      93 108 Generalized inverse tangent integral duplication formula      73 80 88 Generalized inverse tangent integral factorisation formula      89 90 Generalized inverse tangent integral form beyond singularity      83 Generalized inverse tangent integral form near singularity      72 Generalized inverse tangent integral interchange formula      71 78 Generalized inverse tangent integral inversion relation      75 Generalized inverse tangent integral multiplication formula      92 Generalized inverse tangent integral multivariate equations      76 79 84 Generalized inverse tangent integral relation to       107 Generalized inverse tangent integral special values      71 72 94 Generalized inverse tangent integral symmetry relation      68 Glaisher, J. W. L.      192 200 202 267—269 Golden-ratio integrals      232—235 hadamard      29 Hill, C. J.      1 9 18 28 29 69 102 110 120 121 176 258 259 312 355 Hoelder, O.      28 30 31 Hypergeometric function, relation to dilogarithm      30 Integrals from Coxeter's series      117 118 Inverse tangent integral duplication formula      40 42 Inverse tangent integral functional equation, several variables      59 Inverse tangent integral functional equation, two variables      62 Inverse tangent integral inversion relation      39 Inverse tangent integral multiplication formula      47 Inverse tangent integral numerical values      44 45 47 51 Inverse tangent integral quadruplication formulas      51—59 Inverse tangent integral relation to       106 Inverse tangent integral relation to       38 Inverse tangent integral triplication formula      46 Jonquiere, A.      5 193 236 Kapteyn. W.      274 Koelbig, K. S.      314 Kuester, F.      237 Kummer's function       199 Kummer, E. E.      5 9 10 13 16 28 33 102 114 120 121 122 123 136 137 142 152 154 166 175 177 178 181 182 184 186 187 193 199 206 209 213 216 238 239 312 355 356 Landen, J.      5 6 19 20 153 155 156 233 Laplace integrals      277 Laptev, B. L.      115 Legendre, function, definition      18 Legendre, function, integrals      256 274 275 Legendre, function, multiplication formula      20 Legendre, function, numerical values      19 Legendre, function, relation to       38 49 Legendre, function, single variable equation      19 Legendre, A. M.      18 19 28 32 Leibniz. G. W.      336 Lerch's function      30 Lobacewskil space      35 115 118 Maier, W.      18 115 Mathematisch Centrum      28 313 Mitchell. K.      28 30 312 Muller, P. F.      115 Newman, F. W.      10 11 14 28 61 94 102 105 121 124 127 128 129 132 134 136 138 139 152 186 191 193 199 240 246 252 255 259 260 312 355 Nielsen, N.      5 10 18 21 22 28 29 45 120 122 153 227 265 266 267 274 349 355 Notation      1 27—29 39 121 145 Occurrence in physical problems      31—35 274 277 Pate. R. C      274 Phillip, J. R.      28 35 Picard, W. F.      236 Polylogarithm, absence of functional equations for n > 5      239 Polylogarithm, absence of recurrence relation      238 Polylogarithm, associated Clausen function      200 Polylogarithm, associated Clausen function, relation to Bn (a)      202 Polylogarithm, associated integrals      199 Polylogarithm, complex zeroes      314 Polylogarithm, definition      189 Polylogarithm, factorization formula      197 Polylogarithm, fifth order function      212 Polylogarithm, fifth order function, functional equation, single variable      213 Polylogarithm, fifth order function, functional equation, two variables      216 Polylogarithm, fifth order function, inversion relation      212 Polylogarithm, fourth order function      202 Polylogarithm, fourth order function, complex forms      205 Polylogarithm, fourth order function, functional equation, single variable      208 Polylogarithm, fourth order function, functional equation, two variables      211 Polylogarithm, fourth order function, generalized Clausen function      191 198 Polylogarithm, fourth order function, log sine integrals      205 Polylogarithm, fourth order function, log sine integrals, special values      206 Polylogarithm, fourth order function, numerical values      212 Polylogarithm, generating function      237 Polylogarithm, golden-ratio and related integrals      232—235 Polylogarithm, imaginary argument      190 Polylogarithm, inverse tangent integral      195 Polylogarithm, inversion relation      192 Polylogarithm, inversion relation for       196 Polylogarithm, Kummer's function      199 Polylogarithm, log sine integrals      191 192 200 216—232 Polylogarithm, log sine integrals, quasi periodicity      220 Polylogarithm, log sine integrals, special values      230 Polylogarithm, nonintegral order      34 236 Polylogarithm, nonintegral order, duplication formula      236 Polylogarithm, nonintegral order, inversion relation      236 Powell. E. O.      28 312 Ramanujan, S.      28 45 Relation of dilogarithm to other functions      30 Richmond      7 45 Rogers, L. J.      16 18 28 59 110 187 269 356 Sabri. A.      28 313 Sandham. H. F.      28 186 187 356 Sang, E.      28 Schaeffer, W.      9 10 28 176 177 260 262 263 Schlaeffli, L.      115 118 Schlomilch, O.      28 Sim, A. C      34 Spence, W.      5 8 9 28 32 39 40 43 69 86 90 94 95 122 137 138 139 140 142 154 172 173 177 181 193 195 259 263 265 271 312 349 355 Stieltjes. T. J.      267 Summation of series      237 260—269 Sylvester, J. J.      275 Szekeres. G.      7 145 Tabular values      34 102 312 Thomas, D. E.      313 Trigonometric integrals      253—260 274 278 Trigonometric integrals, special numerical values      276 Trilogarithm, complex forms      161 164 165 171 180 229 Trilogarithm, functional equations, for Rummer's       184 Trilogarithm, functional equations, for several variables      187 Trilogarithm, functional equations, for single variable      155 161 178 Trilogarithm, functional equations, for two variables      173 177 186 Trilogarithm, functional equations, of Newman's type      185 186 Trilogarithm, generalization of Clausen's function      162 Trilogarithm, generalization of Clausen's function, factorization formula      163 Trilogarithm, generalization of Clausen's function, functional equation      180 Trilogarithm, generalization of Clausen's function, special values      163 Trilogarithm, inverse tangent integral      166 Trilogarithm, inversion relation      154 Trilogarithm, Legendre's function: special values      179 Trilogarithm, log sine integrals      165 169 272 Trilogarithm, numerical values      155 156 179 Trilogarithm, real part       167 Trilogarithm, real part factorization formula      168 Trilogarithm, real part inversion relation      168 Trilogarithm, real part special angles      168 Trilogarithm, Rummer's function , definition      165 182 Truesdell, C.      313 Van Wijngaarden      28 313 Watson, G. N.      145 146 Wechsung, G.      239 Wutzler, G.      18 Wynn, P.      34 Реклама        © Электронная библиотека попечительского совета мехмата МГУ, 2004-2024 | | О проекте