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DOI QR Code

EXISTENCE OF GENERALISED LOGARITHMIC PROXIMATE ORDER AND GENERALISED LOGARITHMIC PROXIMATE TYPE OF AN ENTIRE FUNCTION

  • Received : 2020.09.14
  • Accepted : 2021.01.28
  • Published : 2021.03.30

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.

Keywords

References

  1. Chern, P. T. Y, On meromorphic functions with finite logarithmic order, Trans. Amer. Math. Soc. 358 (2) (2006), 473-489. https://doi.org/10.1090/S0002-9947-05-04024-9
  2. Hayman, W. K, Meromorphic functions, Oxford, 1964.
  3. Lahiri, I, Generalised Proximate Order Of Meromorphic Functions, Mat. Vensik 45 (1989), 9-16.
  4. Sato, D, On the rate of growth of entire functions of fast growth growth, Bull. Amer. Math. Soc. 69 (1963), 411-414. https://doi.org/10.1090/S0002-9904-1963-10951-9
  5. Shah, S.M, On Proximate Orders Of Integral Functions, Bulletin of American Mathematical Society 52 (1946), 326-328. https://doi.org/10.1090/S0002-9904-1946-08572-9
  6. Srivastava, R.S.L, Juneja, O.P, On Proximate Type Of Entire Functions, Composito Mathematica, tome 18, 1-2 (1967), 7-12.
  7. Valiron, G, Lectures On The General Theory Of Integral Functions, Chelsea Publishing Company, 1949.