On oscillation, continuation, and asymptotic expansions of solutions of linear differential equations
Rendiconti del Seminario Matematico della Università di Padova, Tome 85 (1991), pp. 1-25 
@article{RSMUP_1991__85__1_0,
     author = {Bank, Steven B.},
     title = {On oscillation, continuation, and asymptotic expansions of solutions of linear differential equations},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {1--25},
     year = {1991},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {85},
     mrnumber = {1142530},
     zbl = {0743.34012},
     language = {en},
     url = {https://www.numdam.org/item/RSMUP_1991__85__1_0/}
}
TY  - JOUR
AU  - Bank, Steven B.
TI  - On oscillation, continuation, and asymptotic expansions of solutions of linear differential equations
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 1991
SP  - 1
EP  - 25
VL  - 85
PB  - Seminario Matematico of the University of Padua
UR  - https://www.numdam.org/item/RSMUP_1991__85__1_0/
LA  - en
ID  - RSMUP_1991__85__1_0
ER  - 
%0 Journal Article
%A Bank, Steven B.
%T On oscillation, continuation, and asymptotic expansions of solutions of linear differential equations
%J Rendiconti del Seminario Matematico della Università di Padova
%D 1991
%P 1-25
%V 85
%I Seminario Matematico of the University of Padua
%U https://www.numdam.org/item/RSMUP_1991__85__1_0/
%G en
%F RSMUP_1991__85__1_0
Bank, Steven B. On oscillation, continuation, and asymptotic expansions of solutions of linear differential equations. Rendiconti del Seminario Matematico della Università di Padova, Tome 85 (1991), pp. 1-25. https://www.numdam.org/item/RSMUP_1991__85__1_0/

[1] S. Bank, A note on the location of complex zeros of solutions of linear differential equations, Bull. Amer. Math. Soc. (New Series), 18 (1988), pp. 35-38. | Zbl | MR

[2] S. Bank, A note on the rate of growth of solutions of algebraic differential equations in sectors, J. London Math. Soc. (2), 1 (1969), pp. 145-154. | Zbl | MR

[3] S. Bank, On principal solutions of linear differential equations, Proc. Amer. Math. Soc., 10 (1968), pp. 724-732. | Zbl | MR

[4] S. Bank, On determining the location of complex zeros of solutions of certain linear differentiaL equations, Ann. Mat. Pura Appl., 151 (1988), pp. 67-96. | Zbl | MR

[5] S. Bank, On the instability theory of differential polynomials, Ann. Math. Pura Appl., 74 (1966), pp. 83-112. | Zbl | MR

[6] S. Bank, On zero-free regions for solutions of n-th order linear differential equations, Comment. Math. Univ. St. Paul, 36 (1987), pp. 199-213. | Zbl | MR

[7] S. Bank, On the complew zeros of sotutions of linear differential equations. (To appear - Ann. Mat. Pura Appl.). | Zbl

[8] E.W. Chamberlain, Families of principal solutions of ordinary differential equations, Trans. Amer. Math. Soc., 107 (1963), pp. 261-272. | Zbl | MR

[9] W.K. Hayman, The local growth of power series: a survey of the Wiman-Valiron method, Canad. Math. Bull., 17 (1974), pp. 317-358. | Zbl | MR

[10] E. Hille, Ordinary Differential Equations in the Complex Domain, Wiley, New York (1976). | Zbl | MR

[11] E. Hille, Lectures on Ordinary Differential Equations, Addison-Wesley, Reading, Mass. (1969). | Zbl | MR

[12] E. Hille, Analytic Function Theory, Volume II, Chelsea, New York (1973). | Zbl

[13] R. Nevanlinna, Über Riemannsche Flächen mit endlich vielen Windungspunkten, Acta Math., 58 (1932), pp. 295-373. | MR | JFM

[14] C. Powder, On the asymptotic behavior of a fundamentaL set of solutions, Trans. Amer. Math. Soc., 255 (1979), pp. 91-110. | Zbl | MR

[15] Y. Sibuya, Global Theory of a Linear Second Order Differential Equation with a Polynomial Coefficient, North Holland Math. Studies n. 18, North Holland, Amsterdam (1975). | Zbl | MR

[16] W. Strodt, Contributions to the asymptotic theory of ordinary differential equations in the complex domain, Mem. Amer. Math. Soc., n. 13 (1954). | Zbl | MR

[17] W. Strodt, Principal solutions of ordinary differential equations in the complex domain, Mem. Amer. Math. Soc., n. 26 (1957). | Zbl | MR

[18] W. Strodt, On the algebraic closure of certain partially ordered fields, Trans. Amer. Math. Soc., 105 (1962), pp. 229-250. | Zbl | MR

[19] E.C. Titchmarsh, The Theory of Functions, Oxford University Press, London, 1939. | JFM

[20] G. Valiron, Fonctions analytiques et equations differentielles, J. Math. Pures Appl., 31 (1952), pp. 293-303. | Zbl | MR

[21] W. Wasow, Asymptotic Expansions for Ordinary Differential Equations, Wiley, New York (1965). | MR

[22] H. Wittich, Eindeutige Lösungen der Differentialgeichung w' = R(z, w), Math. Z., 74 (1960), pp. 278-288. | Zbl | MR