DIFFERENTSIAL BINOM

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DIFFERENTSIAL BINOM – xm(a+bx”)l> ko’rinishidagi ifoda. Bunda: a va b — o’zgarmas sonlar, t, n, p — rasional sonlar. Diferentsial binomni elementar funktsiyalarda integrallashning barcha hollarini ko’rsatish masalasi muhim. L. Eyler Diferentsial binomni integrallashning uch holini ko’rsatgan: 1) r — butun son; butun son. P. L. Chebishev bundan boshqa hol bo’lmasligini isbotlagan (1853).

Manba

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