In this paper we consider the regular, real-valued solutions of the second-order elliptic partial differential equation. The characterization of generalized growth parameters for entire function solutions for slow growth in terms of approximation errors on more generalized domains, i.e., Caratheodory domains, has been obtained. Moreover, we studied some inequalities concerning the growth parameters of entire function solutions of above equation for slow growth which have not been studied so far.
On the Slow Growth and Approximation of Entire Function Solutions of Second-Order Elliptic Partial Differential Equations on Caratheodory Domains,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 11,
2, Article 23.
Available at: https://digitalcommons.pvamu.edu/aam/vol11/iss2/23