Schlicht solutions of $W”+pW=0$
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- by M. S. Robertson PDF
- Trans. Amer. Math. Soc. 76 (1954), 254-274 Request permission
References
- Einar Hille, Convex distribution of the zeros of Sturm-Liouville functions, Bull. Amer. Math. Soc. 28 (1922), no. 5, 261–265. MR 1560553, DOI 10.1090/S0002-9904-1922-03543-4
- Einar Hille, Oscillation theorems in the complex domain, Trans. Amer. Math. Soc. 23 (1922), no. 4, 350–385. MR 1501207, DOI 10.1090/S0002-9947-1922-1501207-8
- Einar Hille, Remarks on a paper be Zeev Nehari, Bull. Amer. Math. Soc. 55 (1949), 552–553. MR 30000, DOI 10.1090/S0002-9904-1949-09243-1 —, On the zeros of Sturm-Liouville functions, Arkiv för Matematik, Astronomi och Fysik vol. 16 (1922) pp. 1-20.
- Zeev Nehari, The Schwarzian derivative and schlicht functions, Bull. Amer. Math. Soc. 55 (1949), 545–551. MR 29999, DOI 10.1090/S0002-9904-1949-09241-8
- V. V. PokornyÄ, On some sufficient conditions for univalence, Doklady Akad. Nauk SSSR (N.S.) 79 (1951), 743–746 (Russian). MR 0043207
- Werner Rogosinski, Über positive harmonische Entwicklungen und typisch-reelle Potenzreihen, Math. Z. 35 (1932), no. 1, 93–121 (German). MR 1545292, DOI 10.1007/BF01186552
- Czeslaw Ryll-Nardzewski, Une extension d’un théorème de Sturm aux fonctions analytiques, Ann. Univ. Mariae Curie-Skłodowska Sect. A 4 (1950), 5–7 (French, with Polish summary). MR 43192 Lad. Špaček, Contribution à la théorie des fonctions univalentes, Časopis pro Pěstováni Matematiky a Fysiki vol. 62 (1932) pp. 12-19.
Additional Information
- © Copyright 1954 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 76 (1954), 254-274
- MSC: Primary 30.0X
- DOI: https://doi.org/10.1090/S0002-9947-1954-0061171-9
- MathSciNet review: 0061171