Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1228

 Title: Powers and Logarithms Authors: Przeworska-Rolewicz, Danuta Keywords: Algebra with UnitLeibniz ConditionLogarithmic MappingAntilogarithmic MappingPower Function Issue Date: 2004 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Fractional Calculus and Applied Analysis, Vol. 7, No 3, (2004), 283p-296p Abstract: There are applied power mappings in algebras with logarithms induced by a given linear operator D in order to study particular properties of powers of logarithms. Main results of this paper will be concerned with the case when an algebra under consideration is commutative and has a unit and the operator D satisfies the Leibniz condition, i.e. D(xy) = xDy + yDx for x, y ∈ dom D. Note that in the Number Theory there are well-known several formulae expressed by means of some combinations of powers of logarithmic and antilogarithmic mappings or powers of logarithms and antilogarithms (cf. for instance, the survey of Schinzel S[1]. URI: http://hdl.handle.net/10525/1228 ISSN: 1311-0454 Appears in Collections: 2004

Files in This Item:

File Description SizeFormat