Algebraic combinations of exponentials
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- by J. F. Ritt
- Trans. Amer. Math. Soc. 31 (1929), 654-679
- DOI: https://doi.org/10.1090/S0002-9947-1929-1501505-4
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Erratum: Trans. Amer. Math. Soc. 32 (1930), 944.
References
- Hille, Note on Dirichlet series with complex exponents, Annals of Mathematics, (2), vol. 25 (1924), pp. 261-278.
Pólya, Geometrisches ueber die Verteilung der Nullstellen gewisser ganzer transzendenter Funktionen, Münchener Berichte, 1920.
- J. F. Ritt, On the zeros of exponential polynomials, Trans. Amer. Math. Soc. 31 (1929), no. 4, 680–686. MR 1501506, DOI 10.1090/S0002-9947-1929-1501506-6 —, (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.
- 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, DOI 10.1007/BF01171084 Schwengler, Geometrisches ueber die Verteilung der Nullstellen spezieller ganzer Funktionen, Dissertation, Zurich, 1925. Wilder, Expansion problems in ordinary linear differential equations with auxiliary conditions at more than two points, these Transactions, vol. 18 (1917), pp. 415-432.
Bibliographic Information
- © Copyright 1929 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 31 (1929), 654-679
- MSC: Primary 30D15
- DOI: https://doi.org/10.1090/S0002-9947-1929-1501505-4
- MathSciNet review: 1501505