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On the refined measures of growth of generalized biaxially symmetric potentials having index - q

Kumar D, Bishnoi P

Fasciculi Mathematici

2012

Nr 48

61--72

To obtain more refined measure of growth the q-pro- ximate type is constructed for a class of generalized biaxially symmetric potentials (GBASP’s). Finally, we obtain lower q-proximate type for GBASP’s. Our results generalize some results of Kumar [7].

On the fast growth of analytic functions by means of Lagrange polynomial approximation and interpolation in CN*

Kumar D.

Fasciculi Mathematici

2010

Nr 43

85-99

The present paper is concerned with the fast growth of analytic functions in the sets of the form ...[wzór] is the Siciak extremal function of a compact set K) by means of the Lagrange polynomial approximation and interpolation on K having rapidly increasing maximum modulus. To study the precise rates of growth of such functions the concept of index has been used.