A class of completely monotonic functions

C. G. G. Van Herk

Compositio Mathematica (1951)

  • Volume: 9, page 1-79
  • ISSN: 0010-437X

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Van Herk, C. G. G.. "A class of completely monotonic functions." Compositio Mathematica 9 (1951): 1-79. <http://eudml.org/doc/88777>.

@article{VanHerk1951,
author = {Van Herk, C. G. G.},
journal = {Compositio Mathematica},
keywords = {integral equations, integral transforms},
language = {eng},
pages = {1-79},
publisher = {Kraus Reprint},
title = {A class of completely monotonic functions},
url = {http://eudml.org/doc/88777},
volume = {9},
year = {1951},
}

TY - JOUR
AU - Van Herk, C. G. G.
TI - A class of completely monotonic functions
JO - Compositio Mathematica
PY - 1951
PB - Kraus Reprint
VL - 9
SP - 1
EP - 79
LA - eng
KW - integral equations, integral transforms
UR - http://eudml.org/doc/88777
ER -

References

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  1. J. Barkley Rosser [1] The complete Monotonicity of certain Functions derived from completely monotone Functions, Duke Math. J.15 (1948), 313-331. Zbl0030.14602MR24945
  2. J.C. Burkill [1] On Mellin's inversion Formula, Proc. Cambr. Phil. Soc.23 (1927), 356—360. JFM52.0401.01
  3. W. Feller [1] Completely monotone Functions and Sequences, Duke Math. J.5 (1939), 661—674. Zbl0022.23001JFM65.0473.03
  4. J. Grommer [1] Ganze transzendente Funktionen mit lauter reellen Nullstellen, Diss. Göttingen1914, p. 28. = J. f. d. r. u. a. Math. 144, Heft 2. Zbl45.0650.02JFM45.0650.02
  5. H. Hamburger [1] Ueber eine Erweiterung des Stieltjesschen Momentenproblems, Math. Ann. 81 (1920), 235-319. Zbl47.0427.04MR1511966JFM47.0427.04
  6. [2] Id. 82 (1921), 120—164, 168—187. 
  7. F. Hausdorff [1] Summationsmethoden und Momentfolgen, Math. Ztsch.9 (1921), 74—109, 280—299. JFM48.2005.02
  8. [2] Momentprobleme für ein endliches Intervall, Math. Ztsch.16 (1923), 220-248. Zbl49.0193.01MR1544592JFM49.0193.01
  9. E. Helly [1] Ueber lineare Funktionaloperationen, Sitzungsber. Ak. Wien, math-naturw. K1. 121 (1912), Abt. IIa, 265—297. JFM43.0418.02
  10. D. Hilbert [1] Grundzüge einer allgemeinen Theorie der linearen Integralgleichungen, Gött. Nachr., math-ph. Kl. (1906), 192. JFM37.0351.03
  11. A. Hurwitz [1] Ueber die Nullstellen der Besselschen Funktion, Math. Ann. 33 (1889), 246—266 = Werke I, 266—286. JFM20.0502.02
  12. Th. Kaluza [1] Ueber die Koeffizienten reziproker Potenzreihen, Math. Ztsch.28 (1928), 161—170. Zbl54.0335.03JFM54.0335.03
  13. O. Lokki [1] Ueber analytische Funktionen deren Dirichletintegral endlich ist und die in gegebenen Punkten vorgeschriebene Werte annehmen, Diss. Helsinki1947. = Ann. Ac. Sc. Fennicae, Series A1, 1947, nr. 39. Zbl0031.02502MR22910
  14. R. Nevanlinna [1] Ueber beschränkte analytische Funktionen, Comm. in honorem Ernesti Leonardi Lindelöf, Helsinki1929. = Ann. Ac. Sc. Fennicae, Series A, 32 (1929), nr. 7. JFM55.0768.03
  15. [2] Asymptotische Entwicklungen beschränkter Funktionen und das Stieltjessche Momentenproblem, Ann. Ac. Sc. Fennicae, Series A, 18 (1922), 45—48. Zbl48.1226.02JFM48.1226.02
  16. Th. J. Stieltjes [1] Recherches sur les fractions continues, Oevres II, 402-559. JFM35.0978.01
  17. S.C. Van Veen [1] Onderzoek van de coefficiënten An in de ontwikkeling van Nw. Arch. v. Wisk. (2) 15 (1927), 256-262. JFM53.0332.02
  18. H. Wall [1] Analytic theory of continued Fractions, (1948), p. 314. Zbl0035.03601MR25596
  19. A. Wintner [1] Spektraltheorie der unendlichen Matrizen, (1929), p. 97. JFM55.0230.02

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