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Sayfa 587
INTRODUCTION By the Abel integrability criterion , for a polynomial R = t4 + Ats
+ Bt ? + Ct + D with distinct roots , a polynomial p = at + b such that , , P + RQ P -
VRQ with some polynomials P and Q exists if and only if the square root VR has a
...
INTRODUCTION By the Abel integrability criterion , for a polynomial R = t4 + Ats
+ Bt ? + Ct + D with distinct roots , a polynomial p = at + b such that , , P + RQ P -
VRQ with some polynomials P and Q exists if and only if the square root VR has a
...
Sayfa 588
Chebyshev reduced the problem to polynomials R = 14 + pt2 + qt + r . with
integral coefficients . ... By the degree of the first solution of a polynomial R , we
mean the minimum integer n such that the Abel equation p2 – RQ2 = 1 has a
solution ...
Chebyshev reduced the problem to polynomials R = 14 + pt2 + qt + r . with
integral coefficients . ... By the degree of the first solution of a polynomial R , we
mean the minimum integer n such that the Abel equation p2 – RQ2 = 1 has a
solution ...
Sayfa 595
Obviously , for any x the degree of the first solution of the polynomial Rc is equal
to n . Formulas for the coefficients of the polynomial Rz = t4 + Act : + Bxta + Czt +
Dr were given in the proof of Theorem 1 . 1o . Suppose the polynomial R does ...
Obviously , for any x the degree of the first solution of the polynomial Rc is equal
to n . Formulas for the coefficients of the polynomial Rz = t4 + Act : + Bxta + Czt +
Dr were given in the proof of Theorem 1 . 1o . Suppose the polynomial R does ...
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İçindekiler
S 1061002204008180 | 470 |
3 Linearized differential operators | 480 |
Moduli spaces for the solutions of quasilinear elliptic | 488 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
algebra apply arbitrary assume Banach space base basis belongs boundary bounded called Chapter coefficients coincides compact complete Consequently consider constant constructed contains contraction convergence corresponding curve defined Definition denote depend determined difference differential operator domain effective eigenvalues element elliptic English transl equal equation equivalent estimate example exists extension fact factorization field finite fixed formula function given homogenization ideal identity implies inequality integral isomorphism Journal Lemma linear mapping Math Mathematical matrix means method Moreover multiple norm normal notation obtain operator parameters particular periodic polynomial positive present problem Proof Proposition prove regular relation Remark representation respectively ring satisfies sequence side similar smooth solution space statement subgroup Subsection suffices Suppose Theorem theory transformation values vector zero