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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 6, Pages 1432–1435 (Mi smj1268)  
On the differential properties of Temlyakov-type and Temlyakov–Bavrin-type integrals

A. S. Yakshina

Blagoveshchensk State Pedagogical University
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Abstract: We establish a formula that expresses the value of the density of the Temlyakov-type integral with defining domain of type $A$ in terms of the integral itself by means of a differential operator. We extend this operator connection to the Temlyakov–Bavrin-type integral of order $k$. Our study bases on the method of linear differential operators with variable coefficients which is developed by A. V. Nelaev.
Keywords: multidimensional complex analysis, integral representation, Temlyakov-type integral, Temlyakov integral representation, Temlyakov integral.
Received: 11.02.2003
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 6, Pages 1133–1136
DOI: https://doi.org/10.1023/B:SIMJ.0000007489.06068.50
Bibliographic databases:
UDC: 517.55
Language: Russian
Citation: A. S. Yakshina, “On the differential properties of Temlyakov-type and Temlyakov–Bavrin-type integrals”, Sibirsk. Mat. Zh., 44:6 (2003), 1432–1435; Siberian Math. J., 44:6 (2003), 1133–1136
Citation in format AMSBIB
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\paper On the differential properties of Temlyakov-type and Temlyakov--Bavrin-type integrals
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\yr 2003
\vol 44
\issue 6
\pages 1432--1435
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\transl
\jour Siberian Math. J.
\yr 2003
\vol 44
\issue 6
\pages 1133--1136
\crossref{https://doi.org/10.1023/B:SIMJ.0000007489.06068.50}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000187464000021}
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