Solutions of the helmholtz equation having rapid growth

DOI10.1080/17476939208814533zbMath0764.35005OpenAlexW2045867090MaRDI QIDQ4027954

Peter A. McCoy

Publication date: 1 March 1993

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476939208814533

zbMATH Keywords

Taylor's coefficientsChebyshev polynomial approximationsBernstein approximation theoremsgrowth of entire function solutionssolutions of infinite order and type

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Approximation in the complex plane (30E10) Theoretical approximation in context of PDEs (35A35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Approximation by polynomials (41A10)

Related Items (3)

Generalized growth and approximation of entire function solution of Helmholtz equation in Banach spaces ⋮ \((p, q)\)-growth of an entire GASHE function and the coefficient \(\beta_n=| a_n| /\Gamma (n+\mu +1)\) ⋮ Approximation and generalized growth of solutions to a class of elliptic partial differential equations

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