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Solutions of the Inhomogeneous Cauchy Equation

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Abstract.

The aim of this paper is to give some feasible formulas to obtain particular solutions of the equation \(f(x + y) - f(x) - f(y) = \varphi(x, y)\) under various assumptions on φ.

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Authors and Affiliations

  1. Institut für Mathematik und Wissenschaftliches Rechnen, Karl-Franzens Universität Graz, Heinrichstraße 36, A-8010, Graz, Austria

    Wolfgang Prager & Ludwig Reich

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  1. Wolfgang Prager
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  2. Ludwig Reich
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Correspondence to Wolfgang Prager.

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Received: January 14, 2009.

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Prager, W., Reich, L. Solutions of the Inhomogeneous Cauchy Equation. Results. Math. 54, 149–165 (2009). https://doi.org/10.1007/s00025-009-0384-y

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  • DOI: https://doi.org/10.1007/s00025-009-0384-y

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