On the generation function of a doubly infinite, totally positive sequence
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- by Albert Edrei
- Trans. Amer. Math. Soc. 74 (1953), 367-383
- DOI: https://doi.org/10.1090/S0002-9947-1953-0053989-2
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References
- Michael Aissen, Albert Edrei, I. J. Schoenberg, and Anne Whitney, On the generating functions of totally positive sequences, Proc. Nat. Acad. Sci. U.S.A. 37 (1951), 303–307. MR 41897, DOI 10.1073/pnas.37.5.303
- Michael Aissen, I. J. Schoenberg, and A. M. Whitney, On the generating functions of totally positive sequences. I, J. Analyse Math. 2 (1952), 93–103 (English, with Hebrew summary). MR 53174, DOI 10.1007/BF02786970 A. Edrei and G. Szegö, A note on the reciprocal of a Fourier series (to appear in the Proceedings of the American Mathematical Society). A. Edrei, Meromorphic functions with three radially distributed values (not yet published). R. Nevanlinna, Le théorème de Picard-Borel et la théorie des fonctions méromorphes, Paris, 1929.
- Oskar Perron, Die Lehre von den Kettenbrüchen, Chelsea Publishing Co., New York, N. Y., 1950 (German). 2d ed. MR 0037384
- I. J. Schoenberg, Zur Abzählung der reellen Wurzeln algebraischer Gleichungen, Math. Z. 38 (1934), no. 1, 546–564 (German). MR 1545467, DOI 10.1007/BF01170654
- I. J. Schoenberg, Some analytical aspects of the problem of smoothing, Studies and Essays Presented to R. Courant on his 60th Birthday, January 8, 1948, Interscience Publishers, Inc., New York, 1948, pp. 351–370. MR 0023309
Bibliographic Information
- © Copyright 1953 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 74 (1953), 367-383
- MSC: Primary 27.0X
- DOI: https://doi.org/10.1090/S0002-9947-1953-0053989-2
- MathSciNet review: 0053989