St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
81 sonuçtan 1-3 arası sonuçlar
Sayfa 932
... integral . Indeed , if we set p = 0 , then the integral ( 1.13 ) is reduced to the Nassrallah Rahman q - beta integral [ NR , R1 ] which , in turn , is a one parameter extension of the celebrated Askey Wilson q - beta integral [ AW ] ...
... integral . Indeed , if we set p = 0 , then the integral ( 1.13 ) is reduced to the Nassrallah Rahman q - beta integral [ NR , R1 ] which , in turn , is a one parameter extension of the celebrated Askey Wilson q - beta integral [ AW ] ...
Sayfa 942
... INTEGRALS The following multivariable generalization of the Euler beta integral ( 1.1 ) was intro- duced by Selberg [ AAR ] : ( 4.1 ) where and [ ' ' ··· / ' II 29- ' ( 1 - x , ) 9-1 = II 1≤j≤n 1 ≤ j ≤ n II 1 < j < k≤n - | xj − xk ...
... INTEGRALS The following multivariable generalization of the Euler beta integral ( 1.1 ) was intro- duced by Selberg [ AAR ] : ( 4.1 ) where and [ ' ' ··· / ' II 29- ' ( 1 - x , ) 9-1 = II 1≤j≤n 1 ≤ j ≤ n II 1 < j < k≤n - | xj − xk ...
Sayfa 945
... integral evaluation ( 5.2 ) . This is the first nontrivial multiple elliptic beta integral with a complete proof . It is not symmetric in p and q , unlike all other cases considered in the present paper . This fact suggests that there ...
... integral evaluation ( 5.2 ) . This is the first nontrivial multiple elliptic beta integral with a complete proof . It is not symmetric in p and q , unlike all other cases considered in the present paper . This fact suggests that there ...
İçindekiler
S 1061002204008180 | 470 |
3 Linearized differential operators | 480 |
6 The compactness property for quasilinear elliptic | 497 |
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algebra apply assume Banach space base basis belongs boundary bounded called coefficients coincides compact complete Consequently consider constant constructed contains 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 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 sufficiently Suppose Theorem theory transformation values vector zero