Two classic identities for the Gaussian hypergeometric function are extended to the case of hypergeometric type integrals. Some other identities for these integrals are derived.doi:10.3103/S0027132216060012Dzhugan, A. O.Ulanskii, E. A.Allerton PressMoscow University Mathematics Bulletin...
The author discusses the asymptotic behaviour of the Pearcey-type integralI'(X, Y)=2 uexp(i(u+Xu))J(Yu) du for -1( alpha (5/2, where Jis a Bessel function, as X to +or- infinity , Y fixed, as Y to infinity , X fixed, and as Y= rho (2/3 mod X mod )2/, X to ...
This chapter discusses the integrals of the Cauchy type. In solving boundary value problems connected with other differential equations, generalized potentials of various types are employed. For the solution of the boundary value problems of the theory of analytical functions of complex variable, the ...
WEAK TYPE ESTIMATES FOR SINGULAR INTEGRALS RELATED TO A DUAL PROBLEM OF A well known open problem of Muckenhoupt-Wheeden says that any Calder´on-Zygmund singular integral operator T is of weak type (1, 1) with respect to a couple of weights (w, M w). In this paper we consider a ...
In part II, recurrence relations are developed between integrals with integral values of the parameters μ , ν and λ . Tables are given by means of which I(0, 0; 1), I(0, 1; 1), I(1, 0; 1), I(1, 1; 1), I(0, 0; 0), I(1, 0; 0), I(0, 1; 0), I(1, 1;...
A unified derivation of crack tip flux integrals and their associated domain representations is laid out in this paper. Using a general balance statement a... B.,Moran,and,... - 《Engineering Fracture Mechanics》 被引量: 598发表: 1987年 The risk and consequences of clinical miscoding due to...
In this note, we show a conjecture of Koodziej-Tosatti about Morse-type integrals in nef ( 1 , 1 ) (1,1) classes on compact Hermitian manifold with bounde... Zhang, Lei 被引量: 0发表: 2024年 Process for the preparation of 2-methyl-4-(4-methylpiperazin-1-yl)-10h-thieno-[2,3-...
As by-product, we find a complete setof integrals for the corresponding trigonometric Ruijsenaars–Schneider type particle system.Jan... Jan,Felipe,van,... - 《Letters in Mathematical Physics》 被引量: 9发表: 2008年 Integrability of the $C_{n}$ and $BC_{n}$ Ruijsenaars-Schneider models...
calderón–zygmund operators, such as the cauchy integrals associated to the lipschitz curves (see [ 12 , 29 , 38 ]). then, one of the main purposes in this paper is to extend the boundedness result by alvarez, [ 2 ] to the linear calderón–zygmund operators on \(\textbf{m}^{p,r...
This book presents new results in the theory of the double Mellin-Barnes integrals popularly known as the general H-function of two variables.A general integral convolution is constructed by the au...