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Biblioteca Dr. Antonio Monteiro · Catálogo |
| 40 | Sequences, series, summability | ||
| 40-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) | ||
| 40-01 | Instructional exposition (textbooks, tutorial papers, etc.) | ||
| 40-02 | Research exposition (monographs, survey articles) | ||
| 40-03 | Historical | ||
| 40-04 | Explicit machine computation and programs (not the theory of computation or programming) | ||
| 40-06 | Proceedings, conferences, collections, etc. | ||
| 40-99 | Sequences, series, summability (not classified at a more specific level) | ||
| 40A | Convergence and divergence of infinite limiting processes | ||
| 40A05 | Convergence and divergence of series and sequences | ||
| 40A10 | Convergence and divergence of integrals | ||
| 40A15 | Convergence and divergence of continued fractions [See also 30B70] | ||
| 40A20 | Convergence and divergence of infinite products | ||
| 40A25 | Approximation to limiting values (summation of series, etc.) {For the Euler-Maclaurin summation formula, see 65B15} | ||
| 40A30 | Convergence and divergence of series and sequences of functions | ||
| 40A99 | None of the above, but in this section | ||
| 40B05 | Multiple sequences and series (should also be assigned at least one other classification number in this section) | ||
| 40C | General summability methods | ||
| 40C05 | Matrix methods | ||
| 40C10 | Integral methods | ||
| 40C15 | Function-theoretic methods (including power series methods and semicontinuous methods) | ||
| 40C99 | None of the above, but in this section | ||
| 40D | Direct theorems on summability | ||
| 40D05 | General theorems | ||
| 40D09 | Structure of summability fields | ||
| 40D10 | Tauberian constants and oscillation limits | ||
| 40D15 | Convergence factors and summability factors | ||
| 40D20 | Summability and bounded fields of methods | ||
| 40D25 | Inclusion and equivalence theorems | ||
| 40D99 | None of the above, but in this section | ||
| 40E | Inversion theorems | ||
| 40E05 | Tauberian theorems, general | ||
| 40E10 | Growth estimates | ||
| 40E15 | Lacunary inversion theorems | ||
| 40E20 | Tauberian constants | ||
| 40E99 | None of the above, but in this section | ||
| 40F05 | Absolute and strong summability | ||
| 40G | Special methods of summability | ||
| 40G05 | Cesàro, Euler, Nörlund and Hausdorff methods | ||
| 40G10 | Abel, Borel and power series methods | ||
| 40G99 | None of the above, but in this section | ||
| 40H05 | Functional analytic methods in summability | ||
| 40J05 | Summability in abstract structures [See also 43A55, 46A35, 46B15] | ||
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