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AbstractAbstract
[en] The Riccati-Abel differential equation defined as an equation between the first order derivative and the cubic polynomial is explored. In the case of constant coefficients this equation is reduced into an algebraic equation. A method of derivation of a summation formula for solutions of the Riccati-Abel equation is elaborated. The solutions of the Riccati-Abel equation are expressed in terms of the characteristic functions of general complex algebra of the third order
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2012; 19 p; Also available online: http://www1.jinr.ru/Preprints/2012/129(E5-2012-129).pdf; 17 refs
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