Abstract
This paper characterizes those functions given by convergent q-Lidstone series expansion. We give the necessary and sufficient conditions so that the entire function f(z) has such an expansion, in which case convergence is uniform on compact sets.
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference31 articles.
1. Notes on the extension of Aitken’s theorem (for polynomial interpolation) to the Everett types;Lidstone;Proc. Edinb. Math. Soc.,1929
2. Boas, R.P., and Buck, R.C. (1964). Polynomial Expansions of Analytic Functions, Springer. [2nd ed.].
3. On functions expandable in Lidstone series;Buckholtz;J. Math. Anal. Appl.,1974
4. Coefficients in sine series expansions of special entire functions;Golightly;Huston J. Math.,1988
5. Representation of functions by Lidstone series;Boas;Duke Math. J.,1943
Cited by
1 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