Abstract
The generalized growth parameters of analytic functions solutions of linear homogeneous partial differential equations of second order have been studied. Moreover, coefficients characterizations of generalized order and generalized type of the solutions represented in convergent series of Laguerre polynomials have been obtained.
Highlights
Hu and Yang [1, 2] studied the behavior of meromorphic solutions of the following homogeneous linear partial differential equations of the second order: t2 ∂2u ∂t2 − z2 ∂2u ∂z2 + (2t 2) ∂u ∂t ∂u ∂z =
Coefficients characterizations of generalized order and generalized type of the solutions represented in convergent series of Laguerre polynomials have been obtained
Bernstein theorem identifies a real analytic function on the closed unit disk as the restriction of an analytic function defined on an open disk of radius R > 1 by computing R from the sequence of minimal errors generated from optimal polynomials approximates
Summary
Received 20 August 2017; Revised 22 October 2017; Accepted 5 November 2017; Published 15 November 2017. Coefficients characterizations of generalized order and generalized type of the solutions represented in convergent series of Laguerre polynomials have been obtained
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