On the growth and approximation of entire functions represented by Laplace-Stieltjes' transformation.

Autor: Singhal, Chhaya, Srivastava, G.
Zdroj: Annali dell'Universita di Ferrara: Sezione VII-Scienze Mathematiche; Nov2017, Vol. 63 Issue 2, p365-376, 12p
Abstrakt: In the present paper, we obtain the characterization of various growth parameters of an entire function F( s) represented by Laplace-Stieltjes transformation in terms of the rate of decrease of $$E_n ( {F,\beta } ),$$ where $$E_n ( {F,\beta } )$$ represents the error in approximating the function F( s) by exponential polynomials. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index