Abstract
We consider the notion of integrals depending on a parameter. Unexpectedly, this notion turns out to be quite nontrivial in complex analysis: even in the situation, when the integrand is a single-valued form, the integral is a ramified function as a rule. For this reason, parametric integrals in complex analysis are also called ramified integrals. The aim of this chapter is to describe this phenomenon in examples and then present the general theory of such integrals.
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Savin, A., Sternin, B. (2017). Ramified integrals. In: Introduction to Complex Theory of Differential Equations. Frontiers in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-51744-5_2
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DOI: https://doi.org/10.1007/978-3-319-51744-5_2
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-51743-8
Online ISBN: 978-3-319-51744-5
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