ON PROXIMATE ORDER AND PROXIMATE TYPE OF ENTIRE DIRICHLET SERIES

ON PROXIMATE ORDER AND PROXIMATE TYPE OF ENTIRE DIRICHLET SERIES

In this paper we introduce the notion of Proximate Order and Proximate Type of Entire Dirichlet Series and prove their existence. We also obtain some related results.

___

  • Q.I.Rahaman : The Ritt order of the derivative of an entire function, Anales Polonici Mathe- matici,17(1965), 137-140.
  • C.T.Rajagopal and A.R.Reddy : A note on entire functions represented by Dirichlet series, Aanales Polonici Mathematici,17(1965), 199-208.
  • J.F.Ritt : On certain points in the theory of Derichlet series, Amer. Jour. Math., 50(1928), 73-86.
  • R.P Srivastav and R.K.Ghosh : On entire functions represented by Dirichlet series, Aanales Polonici Mathematici,13(1963), 93-100.
  • D. Sato : On the rate of growth of entire functions of fast growth, Bull. Amer. Math. Soc., 69 (1963), 411-414.
  • S.M. Shah : On proximate orders of integral functions, Bull. Amer. Math. Soc.,Vol.52 (1946), pp.326-328.
  • R.S.L. Srivastava and O.P. Juneja : On proximate type of entire functions,Composito Mathematica,18(1967),7-12.