Some applications of Fourier analysis and calculus of probability to the study of real roots of algebraic equations
HTML articles powered by AMS MathViewer
- by Alfred M. Peiser
- Trans. Amer. Math. Soc. 56 (1944), 470-493
- DOI: https://doi.org/10.1090/S0002-9947-1944-0011755-2
- PDF | Request permission
References
- P. Appell and J. Kampé de Fériet, Fonctions hypergéométriques et hypersphériques, Paris, 1926.
H. Cramér, Random variables and probability distributions, Cambridge, 1937.
H. Hahn, Über die Darstellung gegebener Functionen durch singuläre Integrale, Denkschriften der K. Akademie der Wissenschaften, Vienna, Mathematisch-Naturwissenschaftliche Klasse, vol. 93 (1917) pp. 585-655.
- Einar Hille, A class of reciprocal functions, Ann. of Math. (2) 27 (1926), no. 4, 427–464. MR 1502747, DOI 10.2307/1967695
- M. Kac, On the average number of real roots of a random algebraic equation, Bull. Amer. Math. Soc. 49 (1943), 314–320. MR 7812, DOI 10.1090/S0002-9904-1943-07912-8
Bibliographic Information
- © Copyright 1944 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 56 (1944), 470-493
- MSC: Primary 41.1X
- DOI: https://doi.org/10.1090/S0002-9947-1944-0011755-2
- MathSciNet review: 0011755