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Электронная библиотека Попечительского совета
механико-математического факультета
Московского государственного университета
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| Bruce C.Berndt - Ramanujan's Notebooks (part 1) |
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| Предметный указатель |
Abel sum 135-136
Abel, N.H. 44 72 133 232 248 297 310
Acreman, D. 130
Adams, J.C. 123
Aitken, A.C. 42
Aiyar, P.V. Seshu 2 295
Aiyar, S.N. 2 295
Aiyar, V.R. 2 295
Andrews, G.E. 4 48 130 303
Andrews, J.J. 77
Andrews, W.S. 16 23
Apery, R. 232 290
Apostol, T.M. 77 253
Appell, P. 113
Arctangent series 27-28 32-33 35-37 39-41
Arithmetic progression 34
Askey, R. 14 84 302
Asymptotic series 6-8 13 44 47 58-65 101-105 126-128 134 150-152 166-168 180 194-197 202-204 210-215 218-220 226-228 273-276
Ayoub, R. 26 65 125 131 290
Baker, H.F. 3
Baker, I.N. 94
Balakrishnan, U. 165
Balasubrahamanian, N. 52-53
Barnes, E.W. 134
Barrow, D.W. 77
Becker, H.W. 85
Bell numbers 11 44 52-53 85 145
Bell polynomials 11 44 48-56 85
Bell, E.T. 11 44 48 52 85
Bender, C.M. 77
Bendersky, L. 181 232 279-280
Berndt, B.C. 6 125 145 152 164-165 169 182 205 225 266
Bernoulli numbers 7 12-13 51 87 109-128 134-135
Bernoulli numbers, extended 125-127 140 165-166 182
Bernoulli polynomials 13 138-140 151 158-160 162-163
Bernoulli's method 42
Bernoulli, D. 42
Bessel functions 301 335
Beta-function 106
Bharathi, R. 4
Binomial distribution 174
Birkeland, R. 72
Blecksmith, R. 130
Boas, R.P.J. 166 328
Bochner, S. 322
Boole's summation formula 145
Borel summability 58
Breusch, R. 60
Briggs, W.E. 164-165 252
Brillhart, J. 130
Broden, T.B.N. 113
Brown, T.A. 323
Browne, D.H. 52
Bruckman, P.S. 252
Buermann, H.H. 297 307
Buschman, R.G. 165 260
Busing, L. 181 232 280
Carlitz, L. 48 52 69 81 85 109 161
Carlson, F. 317
Carmichael, R.D. 72
Carr, G.S. 1-2 8 45 307 310
Catalan's constant 264 266-267 289-290 294
Catalan, E. 251
Cerone, P. 106
Cesaro sum 135
Cesaro, E. 52
Champaign 15
Chandrasekharan, K. 322
Chaundy, T. 72
Chowla, S. 164 252
Chrystal, G. 29 37 40
Clausen functions 260
Clausen, T. 147 290
Cohen, H. 232 290
Comrie, L.J. 166
Comtet, L. 57 60 86-87 89 290 326
Constant of a series 12 66 98 133-138 140-143 146 152 154 171-172 209
Continued fraction 102 144
Creutz, M. 77
Dalton, R.E. 52
Davenport, H. 170-171
Deninger, C. 209
Diamond, H. 143
Difference equation 110-113 136 204-206 214 217 279
Dilogarithm 12 130 246-249
Djokvic, D.Z. 175 294
Dobihski, G. 52
Douglass, R.D. 260
du Bois-Reymond 327-328
Dumir, V.C. 260
Duparc, J.A. 81
Dwight, H.B. 165 177 230
Edwards, H.M. 106
Edwards, J. 263 267 313
Eisenstein, G. 72 77
Epstein, L.F. 52
Erdelyi, A. 288
Erdoes, P. 14
Euler numbers 12 109 124-126
Euler numbers, extended 125-126 170
Euler - Maclaurin summation formula 7 13 35 87 134-136
Euler's constant 7 26 65 97-98 102-103 127-128 137-139 145 164-166 168 182 196
Euler's formula for  122-125 152
Euler's transformation of series 143-144
Euler, L. 6 44-45 72 101 109 115 122 125 127-128 130-131 133 150-151 177 183 232 247-249 252-253 260 307
Eulerian numbers 12 109-119
Eulerian polynomials 12 109-119
Evans, R.J. 14-15 239
Exponential function 11 120-121
Exponential function, iterates of 85-94
Faa di Bruno, F. 212
Fabry, C.E. 41
Fee, G. 294
Feller, W. 58
Ferguson, R.F. 164
Ferrero, B. 182
Fichtenholz, G.M. 290
Fletcher, A. 166
Formal power series 87-94
Fourier cosine transform 107 321-323 333-334
Fourier sine transform 321 333
Fractional derivative 329-330
Fractional order of a function 323-326 328-329
Francis, E.C. 77
Fransen, A. 177
Frobenius, F.G. 110
Frullani's integral theorem 12 296-297 313-318
Gamma function 13 137 154 175-178 183-187 194-195
Gamma function, analogues of 181-182 196-231 273-285
Gamma function, logarithmic derivative of 183-187
Gastmans, R. 249
Gates, D.J. 260
Gates, L.W. 156
Gauss, C.F. 175-176 225 303
Georghiou, C. 253 260
Gerst, I. 130 260
Ginsburg, J. 52 85
Glaisher, J.W.L. 37 166 175 294
Glasser, M.L. 41
Goddess Namagiri 8
Goldbach, C. 253
Gosper, R.W.J. 290
Gould polynomials 69
Gould, H.W. 44 52-53 69 72 81 84 281
Gram, J.P. 165
Greenberg, R. 182
Greenstreet, W.J. 294
Griffith, C.L.T. 3
Gross, B.H. 182
Grosswald, E. 99
| Guinand, A.P. 323
Gupta, H. 260
Hadamard factorization theorem 37
Hadamard, J.S. 41
Hafner, J. 316 318
Hankel transform 335
Hans, R.J. 260
Hansen, E.R. 41 79 164 166 274 281 294
Hardy, G.H. 3-10 12-14 52 64 72 86 101 106 133-136 143 145-146 149 164 232-233 295-302 304 306-307 310 314 318-321 323 326-328 333-334
Harmonic series 33-35 94-95 138-139 182-183
Haslam-Jones, U.S. 69
Hawkins, D. 290
Heaslet, M.A. 109 123
Henrici, P. 42 141
Hermite, C. 164
Hilbert, D. 14
Hill, J.M. 106
Hill, J.R. 169
Hill, M.J.M. 3
Hirschhorn, M.D. 130
Hjortnaes, M.M. 290
Hobson, E.W. 3
Holmboe, A. 133
Howard, F.T. 83
Hurwitz zeta-function 126 152 164 200 205 207-209 214 278-279
Hurwitz's formula 169 200
Hypergeometric series 5 72
Infinite product 38-41
Integral interpolation formula (Master Theorem) 85 105-108 296 298-323 330-331
Inverse factorial series 47
Ishibashi, M. 274
Israilov, M.I. 165
Iterates of functions see 'Exponential function' 'Fractional
Jackson, F.H. 72
Jacobi, C.G.J. 6
Janaki, S. 2 9
Jensen, J.L.W.V. 69 72 81 164-165
Jordan, P.F. 260
Joshi, P.T. 14-15
Kac, M. 260
Kahaner, D. 69
Kanemitsu, S. 274
Katznelson, Y. 144
Kempner, A.J. 252
Kesava Menon, P. 155 175 294
Klamkin, M.L. 41 252 260
Kluyver, J.C. 164
Knoebel, R.A. 72 77
Knopfmacher, J. 165
Knopp, K. 13 77 138 143
Knuth, D.E. 225
Koblitz, N. 182
Kramp, C. 52
Kummer, E.E. 199 201
Kurtz, D.C. 109
Lacher, R.C. 77
Lagrange inversion formula 11 45 72 297 307
Lagrange, J.L. 44-45 72 297 307
Laird, P.G. 106
Lambert, J.H. 44-45 72 144 307
Lammel, E. 164
Landau, E. 127 129 132
Landen, J. 232 247-249
Laurent coefficients of the Riemann zeta-function 164-169
Lavrik, A.F. 164
Legendre, A.M. 127 176 248
Lekkerkerker, C.G. 81
Lense, J. 77
Lerch, M. 181 205 279 314
Leshchiner, D. 290
Letters to Hardy 9
Levine, J. 52
Lewin, L. 247-249 252 260-261 292
Liang, J.J.Y. 165-166 169 197 225-226
Lionnet, M. 29
Liouville, J. 329-330
Littlehailes, R. 4
Littlewood, J.E. 3 9 14 77
Loney, S.L. 1 37 40-41
Lost notebook 4
Loxton, J.H. 130 249
MacLeod, R.A. 274
Magic square 10 16-24
Mandelbrojt, M. 41
Manikarnikamma, S.N. 57
Master theorem see 'Integral interpolation formula'
Matsuoka, Y. 253
McLellan, A. 166
Mendes France, M. 232 290
Mientka, W.E. 252
Miller, J.C.P. 166
Milnor, J. 182
Mitrovic, D. 165
Mordell, L.J. 4
Moreno, C.J. 182
Moy, A. 60
Mullin, R. 69
Nandy, A. 3
Nandy, P. 9
Neville, E.H. 4 14
Newman, D.J. 76
Newton's interpolation formula 330
Newton's method 42 81
Nielsen, N. 109 124 252-253 260 270 290
Noerlund, N.E. 109-110 113 126 204
Odlyzko, A. 69
Ogilvy, C.S. 77
Oldham, K.B. 330
Olver, F.W.J. 99
Operator calculus 110-112 330-333
Order of a function 326-328
Orszag, S.A. 77
Ostrowski, A.M. 314
Patrick, M.L. 166
Peremans, W. 81
Philippou, A.N. 253 260
Picard, E. 113
Poincare, H. 6
Poisson distribution 58
Pollak, H.O. 65
Polylogarithm 246 292-293
Post, E.L. 181
Quarterly Reports 10-12 14-15 45 72 86 106-107 295-336
Ram, S. 4
Ramachandra Rao, R. 2 4 295
Ramanathan, K.G. 4
Ramanujan pair 130
Ramanujan's theory of divergent series 133-147
Ranganathan, S.R. 4 5
Rankin, R.A. 3 4 14
Reyssat, E. 232
Richmond, B. 249
Riemann zeta-function 12 106 109 117 125-129 131-132 134 141 150-155 163-169 182-183 223-226
Riemann zeta-function, functional equation 153-154 204
Riordan, J. 48 57 85 110 118
Robinson, G. 42
Robinson, M.L. 193
Rogers - Ramanujan identities 9 130
Rogers, K. 72
Rogers, L.J. 9
Roman, S.M. 69
Rosenhead, L. 166
Ross, B. 329-330
Rosser, J.B. 225
Rota, G.-C. 69
Rothe, H.A. 44 72
Ruscheweyh, S. 265 290
Rutledge, G. 260
Satagopan, T.A. 5 295
Scales of infinity 328
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