darajali qatorlar

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$1526023957_71485.doc å ¥ = 0 n n n z c ( ) n n n a z c å ¥ = - 0 ,...) 2 , 1 , 0 ( = к с к x = - a z å ¥ = 0 n n n z c ) 0 ( 0 0 ¹ = z z z { } 0 : z z c z î 1 { } 1 z z > å ¥ = 0 n n n z c { } 1 z z > * 1 ( ) * 1 z z î ( ) 0 ¹ z { } r z c z î : { } r z c z î : { } r z c z z ¥ ® k k z 2 { } 1 £ = z d å ¥ = 0 k k k z darajali qatorlar reja: …$

. agar (1) darajali qator z ning ba’zi qiymatlarida yaqinlashuvchi, ba’zi qiymatlarida uzoqlashuvchi bo’lsa, u holda shunday yagona r (r>0) son topiladiki (1) qator doirada yaqinlashuvchi, sohada esa uzoqlashuvchi bo’ladi. isbot: (mustaqil) ta’rif 2. agar (1) darajali qator da yaqinlashuvchi, da uzoqlashuvchi bo’lsa, r son (1) darajali qatorning yaqinlashish radiusi, doira esa (1) darajali qatorning yaqinlashish doirasi deyiladi. e s l a t m a. (1) darajali qator aylana nuqta arida yaqinlashuvchi ham bo’lishi mumkin, uzoqlashuvchi ham bo’lishi mumkin. teorema 3. (koshi–adamar teoremasi) berilgan embed equation.3 embed equation.3 darajali qatorning yaqinlashish radiusi embed equation.3 (4) bo’ladi. (4) da l=0 bo’lganda r=+ , l =+ bo’lganda esa r=0 deb olinadi. 3. x o s s a l a r i: 1 . agar (1) darajali qatorning yaqinlashish radiusi r (r>0) bo’lsa, u holda bu qator doirada tekis yaqinlashuvchi bo’ladi. isbot. berilgan darajali qatorning yaqinlashish radiusi r ga teng bo’lganligi sababli, qator …

ator o’zining yaqinlashish sohasida absolyut yaqinlashadi, ichida esa tekis yaqinlashadi. yaqinlashish sohasini chegarasida har xil hollar ro’y berishi mumkin. m i s o l l a r: 1.. r=1. qator doira ichida tekis yaqinlashadi, chegarada uzoqlashadi. 2. embed equation.3 r=1. 3. z=1 da uzoqlashuvchi, z= –1 da yaqinlashuvchi. r=1 adabiyоtlar: 1. шабат б.в. введение в комплексный анализ. 2-nashri, 1-ч.-м, “наука”, 1976. 2. xudoyberganov g., vorisov a., mansurov x. kompleks analiz. (ma’ruzalar). t, “universitet”,1998. 3. sadullaev a., xudoybergangov g., mansurov x., vorisov a., tuychiev t. matematik analiz kursidan misol va masalalar to’plami. 3-qism (kompleks analiz) “o’zbekiston”,2000. _1043241816.unknown _1043241828.unknown _1043241832.unknown _1137918758.unknown _1176406809.unknown _1441534428.unknown _1441534459.unknown _1441534505.unknown _1441534222.unknown _1137918840.unknown _1137918858.unknown _1137918830.unknown _1043241834.unknown _1043312091.unknown _1043312158.unknown _1043312962.unknown _1043241835.unknown _1043241833.unknown _1043241830.unknown _1043241831.unknown _1043241829.unknown _1043241822.unknown _1043241826.unknown _1043241827.unknown _1043241823.unknown _1043241820.unknown _1043241821.unknown _1043241818.unknown _1041679009.unknown _1041680650.unknown _1043241812.unknown _1043241814.unknown _1043241815.unknown _1043241813.unknown _1041684999.unknown _1043241810.unknown _1043241811.unknown _1041685232.unknown _1041685427.unknown _1043241809.unknown _1041685327.unknown _1041685127.unknown _1041684607.unknown _1041684814.unknown _1041682214.unknown _1041680043.unknown _1041680416.unknown _1041680468.unknown _1041680205.unknown _1041679588.unknown _1041679828.unknown _1041679218.unknown _1041677181.unknown _1041678090.unknown _1041678398.unknown …

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1526023957_71485.doc å ¥ = 0 n n n z c ( ) n n n a z c å ¥ = - 0 ,...) 2 , 1 , 0 ( = к с к x = - a z å ¥ = 0 n n n z c ) 0 ( 0 0 ¹ = z z z { } 0 : z z c z î 1 { } 1 z z > å ¥ = 0 n n n z c { } 1 z z > * 1 ( ) * 1 z z î ( ) 0 ¹ z { } r z c z î : { } r z c z î : { …

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