Journal of Siberian Federal University. Mathematics & Physics / Decomposition of Integrals of the Some Classes in Generalized Power Series

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2011 4 (1)
Authors
Savina, Svetlana V.
Contact information
Savina, Svetlana V. : e-mail:
Keywords
the analyticity; generalized power series; the generalized derivative
Abstract

It is investigated the decomposition of the Cauchy integrals the special kind in uniformly and absolutely converging generalized power series which it is possible to differentiate any number of times of the generalized derivative like the rule of differentiation by z of usual power series. It is deduced the formulas for a finding of the generalized derivative.

Pages
123-127
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/2172