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Mathematics Subject Classification – MSC2020

40-XX

Sequences, series, summability 14206

40-00

General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to sequences, series, summability 23

40-01

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to sequences, series, summability 223

40-02

Research exposition (monographs, survey articles) pertaining to sequences, series, summability 78

40-03

History of sequences, series, summability [Consider also classification numbers pertaining to Section 01-XX] 152

40-04

Software, source code, etc. for problems pertaining to sequences, series, summability 21

40-06

Proceedings, conferences, collections, etc. pertaining to sequences, series, summability 35

40-08

Computational methods for problems pertaining to sequences, series, summability 0

40-11

Research data for problems pertaining to sequences, series, summability 0

40Axx

Convergence and divergence of infinite limiting processes 6957

40A05

Convergence and divergence of series and sequences 3450

40A10

Convergence and divergence of integrals 238

40A15

Convergence and divergence of continued fractions [See also 30B70] 987

40A20

Convergence and divergence of infinite products 156

40A25

Approximation to limiting values (summation of series, etc.) {For the Euler-Maclaurin summation formula, see 65B15} 765

40A30

Convergence and divergence of series and sequences of functions 761

40A35

Ideal and statistical convergence [See also 40G15] 774

40A99

None of the above, but in this section 254

40Bxx

Multiple sequences and series 724

40B05

Multiple sequences and series (should also be assigned at least one other classification number in this section) 718

40B99

None of the above, but in this section 5

40Cxx

General summability methods 2353

40C05

Matrix methods for summability 1947

40C10

Integral methods for summability 153

40C15

Function-theoretic methods (including power series methods and semicontinuous methods) for summability 151

40C99

None of the above, but in this section 121

40Dxx

Direct theorems on summability 1391

40D05

General theorems on summability 209

40D09

Structure of summability fields 67

40D10

Tauberian constants and oscillation limits in summability theory 26

40D15

Convergence factors and summability factors 525

40D20

Summability and bounded fields of methods 100

40D25

Inclusion and equivalence theorems in summability theory 507

40D99

None of the above, but in this section 36

40Exx

Inversion theorems 1104

40E05

Tauberian theorems, general 1034

40E10

Growth estimates 28

40E15

Lacunary inversion theorems 27

40E20

Tauberian constants 10

40E99

None of the above, but in this section 26

40Fxx

Absolute and strong summability (should also be assigned at least one other classification number in Section 40-XX) 1183

40F05

Absolute and strong summability (should also be assigned at least one other classification number in Section 40-XX) 1179

40F99

None of the above, but in this section 3

40Gxx

Special methods of summability 3502

40G05

Cesàro, Euler, Nörlund and Hausdorff methods 2109

40G10

Abel, Borel and power series methods 638

40G15

Summability methods using statistical convergence [See also 40A35] 191

40G99

None of the above, but in this section 818

40Hxx

Functional analytic methods in summability 632

40H05

Functional analytic methods in summability 627

40H99

None of the above, but in this section 3

40Jxx

Summability in abstract structures (should also be assigned at least one other classification number from Section 40-XX) [See also 43A55, 46A35, 46B15] 588

40J05

Summability in abstract structures (should also be assigned at least one other classification number from Section 40-XX) [See also 43A55, 46A35, 46B15] 582

40J99

None of the above, but in this section 5

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cc	classification code
ct	classification text

a & b	logical and	abc*	right wildcard
a \| b	logical or	"ab c"	phrase
!ab	logical not	(ab c)	parentheses

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Mathematics Subject Classification – MSC2020

Overview