La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

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40-XX 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.
• 40-99 Sequences, series, summability (not classified at a more specific level)
• 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]
  • 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
• 40Dxx Direct theorems on summability
• 40Exx Inversion theorems
• 40F05 Absolute and strong summability
• 40Gxx Special methods of summability
• 40H05 Functional analytic methods in summability
• 40J05 Summability in abstract structures [See also 43A55, 46A35, 46B15]

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