63
Views
15
CrossRef citations to date
0
Altmetric
Original Articles

The hadamard multiplication theorem and applications in summability theory

Pages 155-166 | Published online: 29 May 2007

References

  • Agmon , Sh. 1952 . On the singularities of Taylor series with reciprocal coclficicnts . Pac. J. Math , 2 : 431 – 453 .
  • Bicherbach , L. 1955 . Analytische Fortsetzung , Berlin : Springer .
  • Borel , E. 1896 . Fondements de la théoric de scrics de series divergents sommables . J. Math. Pures. Appl , 2 ( 5 ) : 103 – 122 .
  • Eiermann , M. 1987 . On the application of summability methods to Hadamard products of power series . Math. Forschungsinst Oberwolfach Tagungsber , 34 ( 5 ) : 6 – 7 .
  • Gawronski , W. and Trautner , R. 1976 . Verschärfung eines Satzes von Borel-Okada über Summierbarkeit von potenzreihen . Period. Math. Hunger , 7 ( 5 ) : 201 – 211 .
  • Gawronski , W. and Trautner , R. 1981 . Analytic continuation of power series with meromorphic coefficients serdica . Bulg. Math. Publ , 7 ( 5 ) : 142 – 152 .
  • Gusrtalison , S.Å . 1978 . Convergence acceleration on a general class of power series . Computing , 21 ( 5 ) : 53 – 69 .
  • Hille , E. 1977 . Analytic Funcation Theory , Vol. 11 , New York : Chelsca . 2nd ed
  • Luh , W. 1974 . Über die Summierbarkeit der geometrischen Reihe . Mitt. Math. Son. Gibβen , 113
  • Müller , J. 1990 . Über analyische Fortsetzung mit Matrixverfahren . Mitt. Math. Sem. Gieβen , 199
  • Nicthammer , W. 1980 . Numerical application of Euler's series transformation and its generalizations . Nummer. Math , 34 : 271 – 283 .
  • Okada , Y. 1925 . Ükada die Annäherung analytischer Funktionen . Math. Z , 23 : 62 – 71 .
  • Osktrowski , A. 1933 . Über einen Satz von Leau und die analytische Fortsetzung einiger Klassen Taylorscher und Dirichletscher Reihen . Math. Ann , 108 : 718 – 756 .
  • Rudin , W. 1987 . Real and Complex Analysis , New York : McGraw-Hill . 3rd ed
  • Schottlaender , S. 1954 . Der Hadamardsche Multiplikationssatz und weitere Kompositions satze der Funktionentheorie . Math. Nachr , 11 : 239 – 294 .
  • Soula , J. 1928 . Sur les points singuliers de deux fonctions ∑a n z n et ∑z n /a m . Bull. Soc. Math. France , 56 : 33 – 49 .
  • Wild , P. 1987 . Accelerating the convergence of power series of certain entire functions . Numer. Math , 51 : 583 – 595 .
  • Yosida , K. Functional Analysis 6th ed

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.