Geodesic
Decomposition of integrals of the some classes in generalized power series
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 1, pp. 123-127
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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.
Keywords: the analyticity, generalized power series, the generalized derivative. 
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Svetlana V. Savina. Decomposition of integrals of the some classes in generalized power series. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 1, pp. 123-127. http://geodesic.mathdoc.fr/item/JSFU_2011_4_1_a13/

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