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190802 ||| eng |
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|a 9783319492650
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| 100 |
1 |
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|a Colombo, Fabrizio
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| 245 |
0 |
0 |
|a Entire Slice Regular Functions
|h Elektronische Ressource
|c by Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa
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| 250 |
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|a 1st ed. 2016
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| 260 |
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|a Cham
|b Springer International Publishing
|c 2016, 2016
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| 300 |
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|a V, 118 p
|b online resource
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| 505 |
0 |
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|a 1. Introduction -- 2.Slice Regular Functions: Algebra -- 3.Slice Regular Functions: Analysis -- 4.Slice Regular Infinite Products -- 5.Growth of Entire Slice Regular Functions -- 6.References -- Index
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| 653 |
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|a Functions of complex variables
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| 653 |
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|a Functions of a Complex Variable
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| 700 |
1 |
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|a Sabadini, Irene
|e [author]
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| 700 |
1 |
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|a Struppa, Daniele C.
|e [author]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
|
| 490 |
0 |
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|a SpringerBriefs in Mathematics
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| 028 |
5 |
0 |
|a 10.1007/978-3-319-49265-0
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| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-319-49265-0?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 515.9
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| 520 |
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|a This Briefs volume develops the theory of entire slice regular functions. It is the first self-contained, monographic work on the subject, offering all the necessary background information and detailed studies on several central topics, including estimates on the minimum modulus of regular functions, relations between Taylor coefficients and the growth of entire functions, density of their zeros, and the universality properties. The proofs presented here shed new light on the nature of the quaternionic setting and provide inspiration for further research directions. Also featuring an exhaustive reference list, the book offers a valuable resource for graduate students, postgraduate students and researchers in various areas of mathematical analysis, in particular hypercomplex analysis and approximation theory
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