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clearly split into two, using part of the real axis. So, given that the principle is rather easy to prove in the special case from Morera's theorem, understanding the proof is enough to generate other results.
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This article is about the reflection principle in complex analysis. For reflection principles of set theory, see
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230:{\displaystyle \left\{z\in \mathbb {C} \mid \operatorname {Im} (z)\geq 0\right\}}
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Elementary theory of analytic functions of one or several variables
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That is, we make the definition that agrees along the real axis.
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In practice it would be better to have a theorem that allows
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141:{\displaystyle F({\bar {z}})={\overline {F(z)}}.}
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16:Mathematics principle in complex analysis
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338:The principle also adapts to apply to
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450:Theorems in complex analysis
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32:Schwarz reflection principle
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406:Encyclopedia of Mathematics
401:"Riemann-Schwarz principle"
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330:involving the extension of
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83:is given by the formula,
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241:on the upper half plane
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455:Mathematical principles
357:Method of image charges
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305:analytic continuation
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163:The result proved by
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40:analytic continuation
320:meromorphic function
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72:{\displaystyle F(z)}
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328:Contour integrals
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439:Categories
368:References
426:MathWorld
411:EMS Press
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265:∣
257:∈
217:≥
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199:∣
191:∈
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48:real axis
346:See also
413:, 2001
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26:In
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318:a
268:Im
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332:F
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Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
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