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  • Kompleks Analiz : Laurent Serisi Nedir?
    21 bin görüntüleme
    Yayınlandı27 Mar 2020
  • A Laurent series is defined with respect to a particular point. and a path of integration γ. The path of integration must lie in an annulus, indicated here by the red color...
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  • Basically, (1) is a generalization of a Taylor series expansion, but Laurent’s 1843 paper in which this series was discussed was not published in his lifetime.
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  • Fonksiyon analitik ise Laurent serisi Taylor serisi ile ayni olur. faa6-197 Şekildeki R1 ve R2 çemberleri arasında kalan bölgeye D bölgesi diyelim f(z)...
  • sag¼lan¬r. Bu seriye f fonksiyonunun z0 etraf¬ndaki Laurent serisi denir.
  • Laurent’s series, also known as Laurent’s expansion, of a complex function f(z) is defined as a representation of that function in terms of power series that includes...
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  • Finding the Laurent series is much less straightforward than finding the Taylor series, especially if its centred at a different point than we expect.
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  • Laurent expansion of a function is unique whenever it exists, any expression of this form that actually equals the given function $f(z)...
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  • In such contexts, Laurent series can be likened to distributions, i.e., functionals on the algebra of functions.
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