Disjoint meromorphic functions and nonoscillatory differential systems
HTML articles powered by AMS MathViewer
- by D. Aharonov and M. Lavie PDF
- Trans. Amer. Math. Soc. 187 (1974), 203-216 Request permission
Abstract:
Conditions satisfied by disjoint meromorphic functions are obtained. These results are applied to nonoscillatory differential systems and disfocal differential equations.References
- Dov Aharonov, A necessary and sufficient condition for univalence of a meromorphic function, Duke Math. J. 36 (1969), 599β604. MR 249622
- Dov Aharonov, On Bieberbach Eilenberg functions, Bull. Amer. Math. Soc. 76 (1970), 101β104. MR 257343, DOI 10.1090/S0002-9904-1970-12382-5
- Dov Aharonov, A generalization of a theorem of J. A. Jenkins, Math. Z. 110 (1969), 218β222. MR 247056, DOI 10.1007/BF01110214
- S. Friedland and Z. Nehari, Univalence conditions and Sturm-Liouville eigenvalues, Proc. Amer. Math. Soc. 24 (1970), 595β603. MR 251204, DOI 10.1090/S0002-9939-1970-0251204-3
- Meira Lavie, The Schwarzian derivative and disconjugacy of $n$th order linear differential equations, Canadian J. Math. 21 (1969), 235β249. MR 237874, DOI 10.4153/CJM-1969-023-9
- Meira Lavie, Some function-theoretic aspects of disconjugacy of linear-differential systems, Trans. Amer. Math. Soc. 143 (1969), 153β171. MR 249703, DOI 10.1090/S0002-9947-1969-0249703-X
- Zeev Nehari, Some inequalities in the theory of functions, Trans. Amer. Math. Soc. 75 (1953), 256β286. MR 56704, DOI 10.1090/S0002-9947-1953-0056704-1
- Zeev Nehari, Some function-theoretic aspects of linear second-order differential equations, J. Analyse Math. 18 (1967), 259β276. MR 213531, DOI 10.1007/BF02798048
- Zeev Nehari, On the coefficients of Bieberbach-Eilenberg functions, J. Analyse Math. 23 (1970), 297β303. MR 273003, DOI 10.1007/BF02795506
- Binyamin Schwarz, Disconjugacy of complex differential systems, Trans. Amer. Math. Soc. 125 (1966), 482β496. MR 206371, DOI 10.1090/S0002-9947-1966-0206371-8 J. Szargel, M. Sc. Thesis, Technion, Israel Institute of Technology, 1970.
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 187 (1974), 203-216
- MSC: Primary 30A68; Secondary 34C10, 34C20
- DOI: https://doi.org/10.1090/S0002-9947-1974-0344472-9
- MathSciNet review: 0344472