A note on a theorem of C. L. Siegel concerning Bessel's equation

Steven B. Bank

Compositio Mathematica (1982)

  • Volume: 46, Issue: 1, page 15-32
  • ISSN: 0010-437X

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Bank, Steven B.. "A note on a theorem of C. L. Siegel concerning Bessel's equation." Compositio Mathematica 46.1 (1982): 15-32. <http://eudml.org/doc/89545>.

@article{Bank1982,
author = {Bank, Steven B.},
journal = {Compositio Mathematica},
keywords = {Bessel equation; Siegel's theorem; meromorphic functions on the plane},
language = {eng},
number = {1},
pages = {15-32},
publisher = {Martinus Nijhoff Publishers},
title = {A note on a theorem of C. L. Siegel concerning Bessel's equation},
url = {http://eudml.org/doc/89545},
volume = {46},
year = {1982},
}

TY - JOUR
AU - Bank, Steven B.
TI - A note on a theorem of C. L. Siegel concerning Bessel's equation
JO - Compositio Mathematica
PY - 1982
PB - Martinus Nijhoff Publishers
VL - 46
IS - 1
SP - 15
EP - 32
LA - eng
KW - Bessel equation; Siegel's theorem; meromorphic functions on the plane
UR - http://eudml.org/doc/89545
ER -

References

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  1. [1] L. Bieberbach: Theorie der Gewöhnlichen Differentialgleichungen. Grund. der Math., Band 66, Second Edition, Springer-Verlag, Berlin, 1965. Zbl0124.04603MR176133
  2. [2] W. Hayman: Meromorphic Functions. Oxford Math. Monographs, Clarendon Press, Oxford, 1964. Zbl0115.06203MR164038
  3. [3] S. Hellerstein and L. Rubel: Subfields that are algebraically closed in the field of all meromorphic functions. J. Analyse Math.12 (1964) 105-111. Zbl0129.29301MR166359
  4. [4] J. Miles: Quotient representations of meromorphic functions. J. Analyse Math.25 (1972) 371-388. Zbl0247.30019MR350001
  5. [5] R. Nevanlinna: Le Théorème de Picard-Borel et la Theorie des Fonctions Méromorphes. Gauthier-Villars, Paris, 1929. Zbl0357.30019JFM55.0773.03
  6. [6] S. Saks and A. Zygmund: Analytic Functions. Monografie Mat.(Engl. Transl.), Tom 28, Warsaw, 1952. Zbl0048.30803MR55432
  7. [7] C.L. Siegel: Über einige Anwendungen diophantischer Approximationen. Abh. Preuss. Akad. der Wissensch., Phys.-Math. K1. 1929, Nr. 1, 58 pp. JFM56.0180.05
  8. [8] C.L. Siegel; Transcendental Numbers. Annals of Math. Studies, No. 16, Princeton University Press, Princeton, 1949. Zbl0039.04402MR32684
  9. [9] E. Titchmarsh: The Theory of Functions. Second Edition, Oxford University Press, Oxford, 1939. Zbl0336.30001MR882550JFM65.0302.01
  10. [10] F. Tricomi: Repertorium der Theorie der Differentialgleichungen. Springer-Verlag, Berlin, 1968. Zbl0159.13601MR232978
  11. [11] G. Valiron: Lectures on the General Theory of Integral Functions. Chelsea Publ. Co., New York, 1949. 
  12. [12] G. Valiron: Fonctions Analytiques, "Euclid". Presses Universitaires de France, Paris, 1964. Zbl0055.06702MR61658
  13. [13] H. Wittich: Neuere Untersuchungen über Eindeutige Analytische Funktionen. Ergebn. der Math., No. 8, Springer-Verlag, Berlin, 1955. Zbl0067.05501MR77620

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