Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras

Author:

Pogorui Anatoliy1,Rodríguez-Dagnino Ramón M.2,Shapiro Michael3

Affiliation:

1. Department of Applied Mathematics; Zhytomyr State University; Zhytomyr Ukraine

2. DIEC, Campus Monterrey, Tecnológico de Monterrey (ITESM); 64849 Monterrey Nuevo Leon Mexico

3. Escuela Superior de Física y Matemáticas; Instituto Politécnico Nacional; Mexico D. F. 07738 Mexico

Funder

fer

State fund for dundamental researches of Ukraine

Tecnologico de Monterrey

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference13 articles.

1. A complete solution of Laplace's equation by an infinite hypervariable;Ketchum;American Journal of Mathematics,1929

2. Analytic functions of hypercomplex variables;Ketchum;Transactions of the American Mathematical Society,1928

3. Biharmonic bases in algebras of the second rank;Mel'nichenko;Ukrainian Mathematical Journal,1986

4. Biharmonic functions on a biharmonic plane;Kovalev;Doklady Academii Nauk UkrSSR (Reports of the Academy of Sciences of the Ukrainian SSR),1988

5. Application of an algebraic technique to the solution of Laplace's equation in three dimensions;Kunz;SIAM Journal on Applied Mathematics,1971

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