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Technical Drawing

TINGKAH LAKU FUNGSI KOMPLEKS PADA TITIK SINGULAR TERASING

TUTIK KARLINA - Personal Name;

TINGKAH LAKU FUNGSI KOMPLEKS PADA TITIK SINGULAR TERASING



Mujizatin Fadiana
Prodi Pendidikan Matematika FKIp UNIROW Tuban
mujizatin000@gmail.com

Abstrak

Sebuah fungsi kompleks f tidak selalu dapat dideferensialkan di setiap bilangan kompleks z0. Fungsi f yang demikian disebut fungsi tak analitik pada z0. Sedangkan titik z0 merupakan titik singular (singularitas) fungsi f, bila f tidak analitik pada z0, tetapi setiap persekitaran dari z0 memuat titik analitik dari f. Titik singular dari fungsi f dibedakan menjadi dua, yaitu: titik singular tak terasing dan titik singular terasing. Berdasarkan nilai bagian utama ekspansi Laurent fungsi f, titik singular terasing dibagi menjadi tiga, yaitu kutub (pole), titik singular yang dapat dihilangkan (Removable Singular Point), dan titik singular pokok (Essential Singular Point). Selanjutnya dalam artikel ini akan dibahas tentang tingkah laku suatu fungsi f di sekitar masing-masing titik singular terasing.

Kata kunci: Ekspansi Laurent, Singularitas Fungsi kompleks



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Tuban : Unirow Tuban.,
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Indonesia
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