ponyatie vicheta analiticheskoy funktsii v izolirovannoy osoboy tochke

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$prezentatsiya powerpoint ponyatie vicheta analiticheskoy funktsii v izolirovannoy osoboy tochke. z0 - izolirovannaya osobaya tochka. opredelenie. kompleksnoe chislo gde s+- zamknutiy kontur, kotoriy mojno styanut k z0, ostavayas v koltse analitichnosti funktsii f(z)- nazivaetsya vichetom f(z) v tochke z0. vich[ f ( z ), z0 ] = c-1. osnovnaya teorema teorii vichetov. pust f(z)c(g\z1,z2,...,zn) za isklyucheniem konechnogo chisla n izolirovannix osobix tochek. togda dokazatelstvo. esli f(z)c(g), to vse tochki g- pravilnie tochki f(z). po teoreme koshi dlya mnogosvyaznoy oblasti  kak schitat vicheti? 1) z0- ustranimaya osobaya tochka => vich[ f ( z ) , z0 ]=0. 2) z0 - polyus t-togo poryadka. 3) z0 - sushestvenno osobaya tochka. vichet f(z) v z∞ esli z - ustranimaya osobaya tochka, to vichet v ney mojet bit  0. primer. f(z)=1+1/z. z - ustranimaya osobaya tochka, vich[f(z),]= -c-1=-10 summa vsex vichetov funktsii, analiticheskoy na polnoy kompleksnoy ploskosti, za isklyucheniem konechnogo chisla izolirovannix …$

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1 1 0 z f z z dz d m m m m z z - - = - - ® ( ) ( ) ( ) + - + + = - - - - 1 0 1 0 m m m z z c c z f z z k ( ) þ + - + l m z z c 0 0 ( ) [ ] ( ) [ ] ) ( lim , : 1 0 1 0 0 z f z z c z z f vich m z z - = = = ® - ( ) [ ] ( ) ( ) 0 0 1 0 , z z c z z f vich y j ¢ = = - ( ) ( ) ( ) ( ) ( ) ( ) ( ) k + ¢ - = ¹ = z z …

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prezentatsiya powerpoint ponyatie vicheta analiticheskoy funktsii v izolirovannoy osoboy tochke. z0 - izolirovannaya osobaya tochka. opredelenie. kompleksnoe chislo gde s+- zamknutiy kontur, kotoriy mojno styanut k z0, ostavayas v koltse analitichnosti funktsii f(z)- nazivaetsya vichetom f(z) v tochke z0. vich[ f ( z ), z0 ] = c-1. osnovnaya teorema teorii vichetov. pust f(z)c(g\z1,z2,...,zn) za isklyucheniem konechnogo chisla n izolirovannix osobix tochek. togda dokazatelstvo. esli f(z)c(g), to vse tochki g- pravilnie tochki f(z). po teoreme koshi dlya mnogosvyaznoy oblasti  kak schitat vicheti? 1) z0- ustranimaya osobaya tochka => vich[ f ( z ) , z0 ]=0. 2) z0 - polyus t-togo poryadka. 3) z0 - sushestvenno osobaya tochka. vichet f(z) v z∞ esli z - ustranimaya osobaya tochka, to …

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