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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Algebraic combinations of exponentials


Author: J. F. Ritt
Journal: Trans. Amer. Math. Soc. 31 (1929), 654-679
MSC: Primary 30D15
Erratum: Trans. Amer. Math. Soc. 32 (1930), 944.
MathSciNet review: 1501505
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  • 1. Hille, Note on Dirichlet series with complex exponents, Annals of Mathematics, (2), vol. 25 (1924), pp. 261-278.
  • 2. Pólya, Geometrisches ueber die Verteilung der Nullstellen gewisser ganzer transzendenter Funktionen, Münchener Berichte, 1920.
  • 3. J. F. Ritt, On the zeros of exponential polynomials, Trans. Amer. Math. Soc. 31 (1929), no. 4, 680–686. MR 1501506, http://dx.doi.org/10.1090/S0002-9947-1929-1501506-6
  • 4. -, (2) A factorization theory for functions $ \sum\nolimits_{i = 1}^n {{a_i}{e^{{\alpha _{{i^x}}}}}} $, these Transactions, vol. 29 (1927), pp. 584-596.
  • 5. J. Tamarkin, Some general problems of the theory of ordinary linear differential equations and expansion of an arbitrary function in series of fundamental functions, Math. Z. 27 (1928), no. 1, 1–54. MR 1544895, http://dx.doi.org/10.1007/BF01171084
  • 6. Schwengler, Geometrisches ueber die Verteilung der Nullstellen spezieller ganzer Funktionen, Dissertation, Zurich, 1925.
  • 7. Wilder, Expansion problems in ordinary linear differential equations with auxiliary conditions at more than two points, these Transactions, vol. 18 (1917), pp. 415-432.

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DOI: http://dx.doi.org/10.1090/S0002-9947-1929-1501505-4
PII: S 0002-9947(1929)1501505-4
Article copyright: © Copyright 1929 American Mathematical Society