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Scientists from HSE University, MSU, and Tallinn University of Technology have studied a fossil species of ancient brachiopods that lived in a warm sea in what is now northern Estonia more than 445 million years ago. These ancient brachiopods developed a cup-shaped shell with a protective 'cap' that shielded them from overgrowth by other marine organisms. The study has been published in Palaeogeography, Palaeoclimatology, Palaeoecology.
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On Asymptotic Series Expansions of Solutions to the Riccati Equation

Mathematical notes. 2021. Vol. 110. No. 1. P. 135–144.
Samovol V.

Scalar  real Riccati equations with coefficients expanding in convergent power series in a neighborhood of infinity is considered. Continued solutions of such equations are studied. Power geometry methods are used to obtain conditions for expanding these solutions in asymptotic series.

Research target: Mathematics
Language: English
Full text
DOI
Keywords: Riccati equationNewton polygonPower geometry,asymptotic seriesextended solution
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