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1. PlanetMath: Abel Summability
AMS MSC 40G10 (sequences, series, summability Special methods of summability Abel, Borel and power series methods). Pending Errata and Addenda. None.
http://planetmath.org/encyclopedia/AbelianTheorem.html

Extractions: Abel summability (Definition) Abel summability is a generalized convergence criterion for power series . It extends the usual definition of the sum of a series , and gives a way of summing up certain divergent series. Let us start with a series convergent or not, and use that series to define a power series Note that for the summability of is easier to achieve than the summability of the original series. Starting with this observation we say that the series is Abel summable if the defining series for is convergent for all , and if converges to some limit as . If this is so, we shall say that Abel converges to Of course it is important to ask whether an ordinary convergent series is also Abel summable, and whether it converges to the same limit? This is true, and the result is known as Abel's convergence theorem, or simply as Abel's theorem. Theorem (Abel) Let be a series; let

2. BIBSYS-SГёkeresultat
MathNetMathematical Subject Classification 40-06, Proceedings, conferences, etc. 40-99, sequences, series, summability (notclassified at a more specific level). 40-XX, sequences, series, summability.
http://wgate.bibsys.no/gate1/FIND?base=BIBSYS&ms=40

3. MathNet-Mathematical Subject Classification
4006, Proceedings, conferences, collections, etc. 40-XX, sequences, series,summability. 40A05, Convergence and divergence of series and sequences.
http://www.mathnet.or.kr/API/?MIval=research_msc_out&class=40-XX

4. MSC 40-XX
JAMS Electronic Preprint Service. 40XX sequences, series, summability.
http://www.jams.or.jp/preprints/MSC/40/

5. MSC91
UniversitГӨtsbibliothek Marburg. Mathematics Subject Classification1991. 40XX sequences, series, summability ( 0 Dok.). 40-00 General
http://archiv.ub.uni-marburg.de/opus/msc_ebene2.php?zahl=40&anzahl=0

6. Mathematical Resources Listed By Subject
40 sequences, series, summability. Preprints sequences, series, summability(AMS Preprints). 41 Approximations and expansions. Preprints
http://www.maths.tcd.ie/pub/WebResources/SupercededMathBySubject.html

Extractions: Electronic journals: Preprints from mathematical societies and professional bodies: Preprints from university mathematics departments and research institutes: General mathematical preprints: Web pages: Preprints: Web sites and pages: Preprints: Preprints: Electronic journals: Preprints: Web pages: The Hamiltonian Page The Object Server Home Page (Frank Ruskey, University of Victoria)

7. Mhl40.htm
Translate this page 40-XX, sequences, series, summability Successioni, serie, sommabilit\`a.40-00, General reference works (handbooks, dictionaries, bibliographies
http://www.math.unipd.it/~biblio/math/it eng/mhl40.htm

8. Mhb40.htm
40XX, sequences, series, summability. 40-00, General reference works(handbooks, dictionaries, bibliographies, etc.). 40-01, Instructional
http://www.math.unipd.it/~biblio/math/mainb/mhb40.htm

Extractions: 40-XX Sequences, series, summability General reference works (handbooks, dictionaries, bibliographies, etc.) Instructional exposition (textbooks, tutorial papers, etc.) Research exposition (monographs, survey articles) Explicit machine computation and programs (not the theory of computation or programming) Proceedings, conferences, collections, etc. Convergence and divergence of infinite limiting processes Convergence and divergence of series and sequences Convergence and divergence of integrals Convergence and divergence of continued fractions [See also Convergence and divergence of infinite products Convergence and divergence of series and sequences of functions None of the above, but in this section General summability methods Matrix methods Integral methods Function-theoretic methods (including power series methods and semicontinuous methods) None of the above, but in this section Direct theorems on summability General theorems Structure of summability fields Tauberian constants and oscillation limits Convergence factors and summability factors Summability and bounded fields of methods Inclusion and equivalence theorems None of the above, but in this section

9. Series And Sequences
SparkNotes series and sequences. MathForum sequences/series. sequences,series, summability. sequences series. sequences and Limits. Back Home!
http://www.geocities.com/aljeebrah/serseq.html

10. OAI Registry At UIUC (details.asp)
7375626A656374733D34302D5858 (subjects=40XX), Subject= 40-xx sequences, series, summability, 9,
http://gita.grainger.uiuc.edu/registry/details.asp?id=706

11. OAI Registry At UIUC (SampleRecord.asp)
For Set Subject = 40xx sequences, series, summability 40Gxx Specialmethods of summability and Metadata Prefix oai_dc View Raw XML.
http://gita.grainger.uiuc.edu/registry/SampleRecord.asp?cid=76044

12. Zaleznosci Miedzy Podzialem Na Sekcje A Main 1991 Mathematics
26 Real functions 28 - Measure and integration 39 - Finite differences and functionalequations 40 - sequences, series, summability 41 - Approximations and
http://www.impan.gov.pl/Bazamat/iso.clas.html

13. Rajagopal
Rajagopal studied sequences, series, summability. He published 89 papersin this area generalising and unifying Tauberian theorems.
http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Rajagopal.html

Extractions: Rajagopal was educated in Madras, India. He graduated in 1925 from the Madras Presidency College with Honours in mathematics. He spent a short while in the clerical service, another short while teaching in Annamalai University then, from 1931 to 1951, he taught in the Madras Christian College. Here he gained an outstanding reputation as a teacher of classical analysis. In 1951 Rajagopal was persuaded to join the Ramanujan Institute of Mathematics then, four years later, he became head of the Institute. Under his leadership the Institute became the major Indian mathematics research centre. Rajagopal studied sequences, series, summability. He published 89 papers in this area generalising and unifying Tauberian theorems. He also studied functions of a complex variable giving an analogue of a theorem of Edmund Landau on partial sums of Fourier series . In several papers he studied the relation between the growth of the mean values of an entire function and that of its Dirichlet series.

14. Sequences And Series
Find a different startpage for browsing sequences and series - Related Collections.Browse Help. Major overlap with sequences, series, summability (40-XX).
http://www.renardus.org/cgi-bin/genDDCbrowseSQL.pl?ID=82850&node=AATCA

15. Geometric Series
Matrix summability of classes of geometric sequences. The distribution functions ofcertain random geometric series concerning intersymbol interference

16. Re: Re: Cesaro Summability
by Nathan on April 21, 2002 In reply to Cesaro summability , posted by wonderingif you could give me some examples of sequences (or series) which are

17. Re: Re: Re: Cesaro Summability
From Nathan Date April 22, 2002 Subject Re Re Re Cesaro summability Anyother examples of sequences (or series) which are not convergent but have C

18. Г ВёВ„Г ВёВ“Г ВёВҙГ ВёВ•Г ВёВЁГ ВёВІГ ВёВӘГ ВёВ•Г ВёВЈГ В№ВҢ - Wikipedia
ergodic theory; 39xx Difference and functional equations; 40-xx sequences,series, summability; 41-xx Approximations and expansions; 42
http://th.wikipedia.org/wiki/Г ВёВ„Г ВёВ“Г ВёВҙГ ВёВ•Г ВёВЁГ ВёВІГ ВёВӘГ ВёВ•Г В

Extractions: Г ВёВҲГ ВёВІГ ВёВҒ Wikipedia, Г ВёВӘГ ВёВІГ ВёВЈГ ВёВІГ ВёВҷГ ВёВёГ ВёВҒГ ВёВЈГ ВёВЎГ ВёВҹГ ВёВЈГ ВёВө Mathematics http://en.wikipedia.org/wiki/Mathematics mathematics http://en.wikipedia.org/wiki/Mathematics (Г ВёВҷГ ВёВҙГ ВёВўГ ВёВЎГ В№ВҖГ ВёВӮГ ВёВөГ ВёВўГ ВёВҷГ ВёВўГ В№ВҲГ ВёВӯГ В№ВғГ ВёВҷГ ВёВӣГ ВёВЈГ ВёВ°Г В№ВҖГ ВёВ—Г ВёВЁГ ВёВ—Г ВёВІГ ВёВҮГ ВёВӯГ В№ВҖГ ВёВЎГ ВёВЈГ ВёВҙГ ВёВҒГ ВёВІГ ВёВ•Г ВёВӯГ ВёВҷГ В№ВҖГ ВёВ«Г ВёВҷГ ВёВ·Г ВёВӯГ ВёВ§Г В№ВҲГ ВёВІ math Г В№ВҒГ ВёВҘГ ВёВ° Г ВёВӣГ ВёВЈГ ВёВ°Г В№ВҖГ ВёВ—Г ВёВЁГ ВёВӯГ ВёВ·Г В№ВҲГ ВёВҷГ В№ВҶ Г ВёВ—Г ВёВөГ В№ВҲГ В№ВғГ ВёВҠГ В№ВүГ ВёВ Г ВёВІГ ВёВ©Г ВёВІГ ВёВӯГ ВёВұГ ВёВҮГ ВёВҒГ ВёВӨГ ВёВ©Г ВёВ§Г В№ВҲГ ВёВІ maths) Г ВёВ„Г ВёВіГ ВёВ§Г В№ВҲГ ВёВІ "mathematics" Г ВёВЎГ ВёВІГ ВёВҲГ ВёВІГ ВёВҒГ ВёВ„Г ВёВіГ В№ВғГ ВёВҷГ ВёВ Г ВёВІГ ВёВ©Г ВёВІ Г ВёВҒГ ВёВЈГ ВёВөГ ВёВҒ ( Greek mВЎthema mathematikВіs 2000 Mathematics Subject Classification(MSC2000) http://www.ams.org/msc/ 00-xx Г ВёВ„Г ВёВ“Г ВёВҙГ ВёВ•Г ВёВЁГ ВёВІГ ВёВӘГ ВёВ•Г ВёВЈГ В№ВҢГ ВёВ—Г ВёВұГ В№ВҲГ ВёВ§Г В№В„Г ВёВӣ (General) 01-xx Г ВёВӣГ ВёВЈГ ВёВ°Г ВёВ§Г ВёВұГ ВёВ•Г ВёВҙ Г В№ВҒГ ВёВҘГ ВёВ° Г ВёВҠГ ВёВөГ ВёВ§Г ВёВӣГ ВёВЈГ ВёВ°Г ВёВ§Г ВёВұГ ВёВ•Г ВёВҙ (History and biography) 03-xx Mathematical logic and foundations 05-xx Combinatorics 06-xx Order, lattices, ordered algebraic structures 08-xx Г ВёВһГ ВёВөГ ВёВӮГ ВёВ„Г ВёВ“Г ВёВҙГ ВёВ•Г ВёВ—Г ВёВұГ В№ВҲГ ВёВ§Г В№В„Г ВёВӣ (General algebraic systems) 11-xx Number theory 12-xx Field theory and polynomials 13-xx Commutative rings and algebras 14-xx Algebraic geometry 15-xx Linear and multilinear algebra; matrix theory