Existence of generalised logarithmic proximate order and generalised logarithmic proximate type of an entire function
Main Article Content
Abstract
In this paper we introduce generalised logarithmic proximate order, generalised logarithmic proximate type of an entire function and prove the corresponding existence theorems. Also we investigate some theorems on the application of generalised logarithmic proximate order.
Article Details
References
[1] Chern, P. T. Y, On meromorphic functions with finite logarithmic order, Trans. Amer. Math. Soc. 358 (2) (2006), 473–489. Google Scholar
[2] Hayman, W. K, Meromorphic functions, Oxford, 1964. Google Scholar
[3] Lahiri, I, Generalised Proximate Order Of Meromorphic Functions, Mat. Vensik 45 (1989), 9–16. Google Scholar
[4] Sato, D, On the rate of growth of entire functions of fast growth growth, Bull. Amer. Math. Soc. 69 (1963), 411–414. Google Scholar
[5] Shah, S.M, On Proximate Orders Of Integral Functions, Bulletin of American Mathematical Society 52 (1946), 326–328. Google Scholar
[6] Srivastava, R.S.L, Juneja, O.P, On Proximate Type Of Entire Functions, Composito Mathematica, tome 18, 1-2 (1967), 7–12. Google Scholar
[7] Valiron, G, Lectures On The General Theory Of Integral Functions, Chelsea Publishing Company, 1949. Google Scholar