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Regular Functions of a Quaternionic Variable978-3-642-33871-7Series ISSN 1439-7382 Series E-ISSN 2196-9922Obstacle 发表于 2025-3-27 13:57:17
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https://doi.org/10.1007/978-3-642-33871-730G35, 30B10, 30C15, 30E20, 30C80; Schwarz‘s lemma; functions of hypercomplex variables and generalizeIrksome 发表于 2025-3-28 00:38:37
Definitions and Basic Results,Let . be a domain in the space of quaternions ., namely, an open connected subset of . and let . denote the 2-sphere of quaternionic imaginary units. We define the notion of regular function as follows.Seizure 发表于 2025-3-28 02:21:03
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Infinite Products,We consider an infinite product of quaternions . and, for ., we denote by . the partial products. In analogy with the complex case (see ), we give the following definition.雪上轻舟飞过 发表于 2025-3-28 13:23:01
Singularities,In this section we construct the ring of quotients of regular functions. We begin by presenting the definition of regular reciprocal of ., which involves the operations of regular conjugation and symmetrization presented in ..