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Approximation and growth of generalized axisymmetric potentials

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Approximation Theory and its Applications

Abstract

The regular solutions of generalized axisymmetric potential equation\(\frac{{\partial ^2 u}}{{\partial x^2 }} + \frac{{\partial ^2 u}}{{\partial y^2 }} + \frac{{2a + 1}}{y} \frac{{\partial u}}{y} = 0\), a>−1/2 are called generalized axisymmetric potentials. In this paper, the characterizations of lower order and lower type of entire GASP in terms of their approximation error {En} have been obtained.

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Srivastava, G.S. Approximation and growth of generalized axisymmetric potentials. Approx. Theory & its Appl. 12, 96–104 (1996). https://doi.org/10.1007/BF02849320

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  • DOI: https://doi.org/10.1007/BF02849320

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