Open Access
Subscription Access
Open Access
Subscription Access
Linear Differential Equations with Solutions of Finite Iterated p-Φ Order
Subscribe/Renew Journal
In this article, we have studied complex linear homogeneous differential equations whose coefficients are entire functions having finite iterated p − Φ order and the growth of its nontrivial solutions.
Keywords
Entire Function, Iterated p − Φ Order, Finiteness Degree.
Subscription
Login to verify subscription
User
Font Size
Information
- L. G. Bernal, On growth k−order of solutions of a complex homogeneous linear differential equation, Proc. Amer. Math. Soc., 101 (2)(1987), 317–322.
- I. Chyzhykov, J. Heittokangas and J. R¨atty¨a, Finiteness of φ-order of solutions of linear differential equations in the unit disc, J. Anal. Math., 109 (2009), 163–198.
- W. K. Hayman, Meromorphic Functions. Oxford Mathematical Monographs Clarendon Press, Oxford, 1964.
- H. Herold, Differentialgleichungen im Komplexen, Vandenhoeck & Ruprecht, G¨ottingen, 1975.
- G. Jank and L. Volkman, Meromorphe Funktionen Und Differentialgleichungen, Birk¨auser, Basel-Boston, 1985.
- L. Kinnunen, Linear differential equations with solutions of finite iterated order, South-east Asian Bull. Math., 22 (4)(1998), 385–405.
- I. Laine, Nevanlinna Theory and Complex Differential Equations, Walter de Gruyter, Berlin, New Work, 1993.
- D. Sato, On the rate of growth of entire functions of fast growth, Bull. Amer. Math. Soc., 69 (1963), 411–414.
- M. N. Seremetao, On the connection between the growth of the maximum modulus of an entire function and the moduli of the coefficients of its power series expansion, Izv. Vyssh. Uchebn. Zaved. Mat., 2 (1967), 100–108.
- X. Shen, J. Tu and H. Y. Xu, Complex oscillation of a second-order linear differential equation with entire coefficients of [p, q] − φ order, Advances in Difference Equations 2014, 2014:200.
Abstract Views: 134
PDF Views: 2