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Polya G., Szego G. — Problems and Theorems in Analysis: Integral Calculus. Theory of Functions
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Название: Problems and Theorems in Analysis: Integral Calculus. Theory of FunctionsАвторы: Polya G., Szego G. Аннотация: Synopsis
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Издание: 1st editionГод издания: 2004Количество страниц: 392Добавлена в каталог: 05.04.2008Операции: Положить на полку |
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Предметный указатель
Abel's theorem I 86 21 Abel, N.H. 185 196 351 364 Ahrens, W. 174 Appell, P. 186 Archibald, R.G. 197 Argument principle 140 Audibert 217 Bagnera, J. 208 Bendixson, J. 361 Bernoulli numbers I 154 35 Bernoulli's equation III 90 121 Bernoulli, D. 121 Bernoulli, Jakob 35 Bernstein, S. 275 367 Bessel functions I 97 II 16 97 Bessel, F.W. 22 BIaschke, W. 251 267 Bieberbach, L. 325 Biehler, Ch. 302 Binomial coefficients, Gaussian 11 Binomial coefficients, ordinary 6 Blumenthal, O. 376 Bohr, H. 372 Borel, E. 157 198 332 Brauer, A. 304 Brauer, R. 304 Briggs, H. 92 284 Buermann, H. 146 Burkhardt, H. 288 Burmann — Lagrange series 146 Cantor's discontinuum III 130 206 Cantor, G. 206 Capacity III 92 122 Caratheodory, C. 261 269 355 370 Carleman, T. 195 325 337 340 374 Carlson's theorem III 328 170 Carlson, F. 380 Catalan, E. 176 Cauchy — Riemann differential equations 113 Cauchy, A.L. 64 68 111 113 119 133 146 221 245 248 312 317 326 330 337 Center of gravity of a mass distribution 108 Central subscript 27 Cesaro, E. 15 176 178 179 185 193 208 217 234 240 Change problem 19 174 Conformal center of gravity III 129 130 Conformal mapping 115 Convergence exponent 25 Convex (concave) function 65 Cornu 142 342 Counting function 85 Cramer, H. 286 Csillag, P. 287 374 Darboux, G. 185 288 Dedekind, R. 309 Differences, finite 148 149 Dini's theorem II 126 81 Dini, U. 81 269 Direction of accumulation III 52 112 Dirichlet series I 75 III III 18 78 153 Dirichlet — Mehler formula III 167 135 Dirichlet, P.G.L. 18 78 111 112 135 153 240 246 309 333 Enestroem, G. 301 Enlargement, area 117 Enlargement, linear 116 Enveloping series 32 Equidistribution 87 Euler's (or Mascheroni's) constant II 19.1 II 51 54 Euler's function II 188 93 Euler, L. 50 51 54 57 174 177 178 186 234 240 243 348 349 Faber, G. 376 Farey series II 189 93 Farey, J. 93 Fatou, P. 369 Fejer, L. 200 253 260 272 281 303 337 Fekete, M. 198 302 359 Fine, N.J. 228 Force, flux of III 89 120 Force, lines of III 86 120 Fourier constants II 141 83 Fourier, J. 83 253 Franel, J. 234 275 283 284 Frank, Ph. 326 Fredholm, I. 247 Frobenius, G. 196 Fujiwara, M. 304 Gamma-function II 31 II 54 84 Gauss, C.F. 11 186 187 303 Goursat, E. 313 Graeffe's method II 95.4 257 Greenstreet,E. 183 Gutzmer. A. 324 Haar, A. 206 Hadamard's three circle theorem III 304 164 Hadamard, J. 164 166 309 376 Hamburger's function III 153 III 332 360 Hamburger, H. 332 360 Hansen, P.A. 97 Hardy, G.H. 179 195 208 247 251 257 332 359 376 Harnack, A. 363 Heeke, E. 280 Hermite, Ch. 104 180 182 288 302 332 Hermitian form III 7 104 Hewitt, E. 206 Hilbert, D. 265 337 Hille (textbook) 140 195 269 338 339 376 379 Hobson, E.W. 77 259 Hoelder, O. 68 249 Hurwitz — Courant (text;book) 146 195 238 312 336 338 376 Hurwitz, A. 274 301 341 346 Inequality, Cauchy's II 80 68 Inequality, Cauchy's, Hoelder's II 81.1 68 Inequality, Cauchy's, Minkowski's II 90 71 Inequality, Cauchy's, Schwarz's II 81 68 Integral, definite 46 Integral, improper 52 Integral, multiple 60 Jacobi polynomials III 219 147 Jacobi, C.G.J. 147 186 187 214 349 Jacobsthal, E. 217 Jensen's formula III 175 138 Jensen, J.L.W.V. 130 138 248 268 305 324 326 339 340 Jordan, C. 239 246 Julia, G. 344 373 Kakeya,S. 206 301 Kempner, A. 205 Kirchhoff, G. 320 Knopp (textbook) 198 206 208 234 306 309 362 Knopp, K. 205 Koebe, P. 369 Koenig, D. 286 Koenig, J. 358 Kojima, T. 111 Kurschak, J. 254 Lacour, E. 186 Lagrange (Buermann) series 145 Lagrange, J.L. 145 146 347 Laguerre polynomials III 219 Laguerre, E. 147 180 257 302 Laisant, C.A. 218 Landau, E. 212 271 276 356 357 Laplace equation III 87 120 Laplace, P.S. 96 120 136 288 294 317 334 Lasker, E. 209 Lattice points I 28 5 13 Laurent, P.A. 151 Lebesgue, H. 288 Legendre polynomials III 157 III 135 147 Legendre polynomials, zeros II 191 94 Legendre, A.M. 94 95 97 135 147 328 Lerch, M. 273 274 Levy, P. 311 Lindeloef, E. 218 368 369 379 Line of support I 110 202 126 Linear transformation of sequences 15 Linear transformation of sequences, convergence preserving 111 Linear transformation of sequences, luwer (upper) triangular I 79 194 Linear transformation of sequences, matrix I 66 I 15 19 Linear transformation of sequences, regular I 68 I 16 19 Linear transformation of sequences, triangular I 66 15 Littlewood, J.E. 195 247 251 257 Lowner, K. 300 326 373 Lucas, Ch.F. 303 Lukacs, F. 253 Lukacs, Th. 323 Lvel lines III 85 120 Macdonald, H.M. 343 344 Maclaurin, C. 33 34 212 243 Mahrcnholz, J. 242 330 Majorant (minorant) series 14 Mapping 113 Markoff, A.A. 286 Maximum principle III 136 131 Maximum term 27 Means, arithmetic, geometric, harmonic of functions II 48 57 63 Means, arithmetic, geometric, harmonic of numbers 57 62 63 Mehler, F.G. 135 333 Mercator's projection 116 Mercator, G. 116 313 Mertens, F. 308 minimax 101 Minkowski, H. 71 261 Mises, R. V. 280 294 Modular graph 130 Moivre, A. 292 Moments of a function II 138 83 Moreau, C. 216 Nagy, J.v.Sz. 305 Netto, E. 180 Nevanlinna, F. 339 340 381 Nevanlinna, R. 339 381 Noerlund, N.E. 192 361 366 Obreschkoff, N. 347 Orthogonal functions III 117 127 Oscillation II 106 77 Ostrowski, A. 342 Ouspenski, J. 211 Paoli, P. 180 Parscval, M.A. 324 Partition of a set 42 Pascal, B. 147 Perron, O. 197 288 Persson, P. 379 Phragmen — Lindeloef method III 322 166 Phragmen, E. 273 379 Pincherle, S. 221 Pit III 132 131 Plancherel, M. 274 Poisson's formula III 173 138 Poisson, S.D. 138 Polya, G., HSI: 173 Polya, G., MD: 178 189 223 Polya, G., MPR: 227 344 Polynomial with integral values I 128 29 Postage Stamp Problem I 9 174 Potential III 86 120 Pringsheim, A. 329 Prufer, H. 281 360 364 Radcmacher, H. 208 Rassicod, L. 180 Rearrangement of infinite series 30 112 Regular sequence 86 Riemann's II 46 56 Riemann, B. 46 56 77 113 119 172 208 259 260 311 312 326 343 Riesz, F. 337 Riesz, M. 367 Rotation 117 Rouche's theorem III 194 142 Rouche, E. 142 344 Rumpcn, H. 218 Saddle point III 132 131 Saxer, W. 201 Schiffer, M. 256 Schlegel, V. 182 Schlicht (univalent, simple) function 117 SchoH, K. 360 Schottky, F. 366 Schur, I. 111 193 215 216 218 268 302 308 309 337 353 Schwarz's lemma III 280 160 Schwarz, H.A. 68 369 Schweitzer, P. 263 Scott, G.A. 33 Sidon, S. 309 Sierpinski, W. 208 Slowly increasing (decreasing) function II 150 85 Sommerfeld, A. 121 142 320 342 Star-shaped III 109 125 Steinhaus, H. 111 Steinitz, E. 258 280 311 Step-function II 102 76 Stereographic projection III 60 115 Stieltjes, T.J. 288 305 308 332 Stirling's formula (for II 205 97 Stirling's formula (for 43 Stirling's formula (for 42 Stirling's formula (for I 165 36 Stirling, J. 36 42 43 234 289 351 366 Stream function III 86 120 Stream function, lines III 85 120 Stream function, potential III 86 120 Sturm, Ch. 341 Subseries 28 Subseries, complementary 31 Sum, upper, lower 46 60 Support function 126 Support function, line of I 110 202 126 Szasz, O. 218 Szegoe, G. 200 214 242 266 268 264 287 333 376 Szuecs, A. 286 Takagi, T. 304 Taylor, B. 267 281 Threlfall, W. 208 Toeplitz. O. 16 111 303 366 Univalent (schlicht, simple) function 117 Valiron. G. 201 Variation, total, of a function II 9 232 Vector field 113 119 Vector field, conjugate potential III 85 120 Vector field, irrotational 119 Vector field, potential III 86 120 Vector field, solenoidal 120 Veress, P. 200 Vitali, G. 218 Volterra, V. 231 Wallis' formula II 202 289 Wallis, J. 289 Walther. A. 379 Waring. E. 179 Watson, G.N. 33 233 330 343 Weierstrass' approximation theorem II 136 II 83 Weierstrass, K. 83 200 Weighing problem I 9 174 Weyl, H. 211 279 280 281 286 333 337 Whittaker — Watson (textbook) 36 64 146 212 246 343 366 Wiener, F. 337 Wiman, A. 201 Winding number 140 Winternitz, A. 316
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