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Preprints of the Keldysh Institute of Applied Mathematics, 2012, 069, 23 pp. (Mi ipmp87)  
Representation of the Gauss-Babenko operator in the power series basis

A. I. Aptekarev, R. E. Akhmedov, V. S. Buyarov
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Abstract: Formal properties of the Gauss operator are considered. We give statement of the Gauss problem. An integral form of this operator (discovered before by K.I. Babenko) is derived. The representation of this operator in the power series basis is obtained.
Keywords: Number theory; Gauss–Kuzmin statistic; continued fraction.
Document Type: Preprint
Language: Russian
Citation: A. I. Aptekarev, R. E. Akhmedov, V. S. Buyarov, “Representation of the Gauss-Babenko operator in the power series basis”, Keldysh Institute preprints, 2012, 069, 23 pp.
Citation in format AMSBIB
\Bibitem{AptAkhBuy12}
\by A.~I.~Aptekarev, R.~E.~Akhmedov, V.~S.~Buyarov
\paper Representation of the Gauss-Babenko operator in the power series basis
\jour Keldysh Institute preprints
\yr 2012
\papernumber 069
\totalpages 23
\mathnet{http://mi.mathnet.ru/ipmp87}
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    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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