ON THE ORDER AND TYPE OF ENTIRE FUNCTIONS REPRESENTED BY DIRICHLET SERIES IN TWO VARIABLES
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Abstract
The properties of orders and types of entire Dirichlet series have been attracted the attention of researchers in the recent past. Very recently, Amana and Rao have derived in relationship between orders and types of Dirichlet Series with one variables. In this paper we shall extend these relationships to the entire Dirichlet series with two variables.
Keywords: Entire functions, Dirichlet series, order and type.
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References
.BAJPAI, S.K; JUNEJA, O.P; KAPOOR, J.P;On entire function of fast growth, Transactions of the American Math. Society, Vol. 203,1975.
. KAMTHAN, P.K; On the order and type of entire Dirichlet Series, Mathematics Student, XXXIII (1965), 89-94.
. RAMANA, K.V ; A Study of Entire Dirichlet Series in One and Several Complex Variables, Ph.D. Thesis, Andhra University (2002).
. RAMANA, K.V; NAGARAJA RAO, I.H; On the Oreder and type of Entire Functions represented by Dirichlet Series. Int. Jour. Math. Archive-4(2), 2013, 270-273.
. RITT, J.F; On Certain points in the theorey of Dirichlet Series, Amer. Jour. Math.,50 (1928), 73-86.
. SRIVASTAVA,G.S; SHARMA, ARCHNA; Some Growth properties of entire functions represented by vector valued Dirichlet Series in two variables. Gen. Math. Notes Vol.2, no.1, January 2011,pp.134-142.