Bounded index, entire solutions of ordinary differential equations and summability methods

Author:

Fricke G. H.1,Roy Ranjan2,Shah S. M.3

Affiliation:

1. Department of Mathematics, Wright State University, Dayton 45431, Ohio, USA

2. Department of Mathematics, State University of New York College at Plattsburgh, Plattsburgh 12901, New York, USA

3. Department of Mathematics, University of Kentucky, Lexington 40502, Kentucky, USA

Abstract

A brief survey of recent results on functions of bounded index and bounded index summability methods is given. Theorems on entire solutions of ordinary differential equations with polynomial coefficients are included.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Bibliography;Nevanlinna Theory and Complex Differential Equations;1993-01-31

2. Sums of functions of bounded index and ordinary differential equations;Complex Variables, Theory and Application: An International Journal;1989-10

3. Univalence of a function f and its successive derivatives when f satisfies a differential equation;Journal of Mathematical Analysis and Applications;1988-07

4. Functions of bounded index, bounded value distribution and v-bounded index;Nonlinear Analysis: Theory, Methods & Applications;1987-12

5. Vector-valued entire functions satisfying a differential equation;Journal of Mathematical Analysis and Applications;1986-06

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