Approximation of entire functions of slow growth on compact sets

G. S. Srivastava and Susheel Kumar

Address: Department of Mathematics Indian Institute of Technology Roorkee Roorkee – 247667, India


Abstract: In the present paper, we study the polynomial approximation of entire functions of several complex variables. The characterizations of generalized order and generalized type of entire functions of slow growth have been obtained in terms of approximation and interpolation errors.

AMSclassification: primary 30B10; secondary 30D20, 32K05.

Keywords: entire function, Siciak extremal function, generalized order, generalized type, approximation errors, interpolation errors.