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 ~~ ' ( 1-2 ) 2 -1 II \ 23 - xx | 2 dry --- dan 1≤ j ≤n = II 1 ≤ j ≤n ...
... INTEGRALS The following multivariable generalization of the Euler beta integral ( 1.1 ) was intro- duced by Selberg [ AAR ] : ( 4.1 ) where and ... [ ' · · · ' II ~~ ' ( 1-2 ) 2 -1 II \ 23 - xx | 2 dry --- dan 1≤ j ≤n = II 1 ≤ j ≤n ...
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 |
5 Moduli spaces for the solutions of quasilinear elliptic | 488 |
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A₁ algebra American Mathematical Society assume asymptotics cellular ring coefficients commutative compact consider constant convergence Corollary corresponding curve cyclic defined Definition denote differential operator domain eigenvalues element elliptic elliptic gamma function English transl equation equivalent estimate exists finite formula Hankel Hankel operators Hecke operators Hilbert space homogenization hypergeometric hypergeometric series ideal implies inequality integral isomorphism Jordan model lattice Lemma linear manifold mapping Math matrix multiple norm notation obtain orthogonal paper parameters perestroika Petersburg polynomial problem proof of Theorem Proposition prove quasiaffinity quasilinear relation representation respectively right-hand side satisfies selfadjoint sequence Sobolev spaces solution solvable subgroup Subsection subspaces Suppose symplectic symplectic group Theorem theory theta theta-series transformation vector zero