Titlebook: Regular Functions of a Quaternionic Variable; Graziano Gentili,Caterina Stoppato,Daniele C. Stru Book 2022Latest edition The Editor(s) (if

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Regular Functions of a Quaternionic Variable978-3-031-07531-5Series ISSN 1439-7382 Series E-ISSN 2196-9922

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Regular Power Series,. and . show that the set of regular functions on .(0 .) consists exactly of the power series . centered at 0 and having a radius of convergence greater than (or equal to) .. The same holds for a ball . centered at a point . of the real axis of ..

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Spherical Series and Differential,to the existence of a regular power series expansion for . at each point . of Ω. At the same time, such an expansion is not sufficient to reconstruct the function . in a Euclidean neighborhood of ., because the set of convergence Σ(., .) of the expansion need not be open (see Remark .).

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Springer Monographs in Mathematicshttp://image.papertrans.cn/r/image/825539.jpg

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