International Journal of Mathematics and Mathematical Sciences
Volume 4 (1981), Issue 3, Pages 417-434
doi:10.1155/S016117128100029X
Bounded index, entire solutions of ordinary differential equations and summability methods
G.H. Fricke1
, Ranjan Roy2
and S.M. Shah3
1Department of Mathematics, Wright State University, Dayton 45431, Ohio, USA
2Department of Mathematics, State University of New York College at Plattsburgh, Plattsburgh 12901, New York, USA
3Department 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.