| 40-XX | | Prev: 39 | Up: Top | Next: 41 | |
| 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 (must also be assigned at least one classification number from Section 01)
| 40-04
| Explicit machine computation and programs (not the theory of computation or programming)
| 40-06
| Proceedings, conferences, collections, etc.
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40Axx
| 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]
[xref: 11A55, 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)}
| |
40Cxx
| 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
| |
40Dxx
| 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
| |
40Exx
| Inversion theorems
| 40E05 |
Tauberian theorems, general
[xref: 11M45]
| 40E10 |
Growth estimates
| 40E15 |
Lacunary inversion theorems
| 40E20 |
Tauberian constants
| 40E99 |
None of the above, but in this section
| |
40F05
| Absolute and strong summability
| |
40Gxx
| 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]
[xref: 43A55]
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