On the -growth of entire function solutions of Helmholtz equation.
Kumar, Devendra (2011)
The Journal of Nonlinear Sciences and its Applications
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Displaying similar documents to “Approximation of entire functions of slow growth on compact sets”
On the -growth of entire function solutions of Helmholtz equation.
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In this paper we have studied the Chebyshev and interpolation errors for functions in C(E), the normed algebra of analytic functions on a compact set E of positive transfinite diameter. The (p,q)-order and generalized (p,q)-type have been characterized in terms of these approximation errors. Finally, we have obtained a saturation theorem for f ∈ C(E) which can be extended to an entire function of (p,q)-order 0 or 1 and for entire functions of minimal generalized (p,q)-type.
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