Functions averages over the roots of unity, cauchy problems and addition formulas

DOI10.1080/02781070412331298570zbMATH Open1069.30066OpenAlexW2060571951MaRDI QIDQ4664015

L. R. Bragg

Publication date: 5 April 2005

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

Full work available at URL: https://doi.org/10.1080/02781070412331298570

zbMATH Keywords

idempotentintegral representationHadamard producthypergeometric functionaveraging operatorCauchy problemsgeneralized Hadamard productaddition formulasgeneralized Laplace problemgeneralized heat problemgeneralized wave problem

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Integral representations of solutions to PDEs (35C15) Series solutions to PDEs (35C10) Generalized hypergeometric series, ({}_pF_q) (33C20) Representations of entire functions of one complex variable by series and integrals (30D10) Miscellaneous topics of analysis in the complex plane (30E99)

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