K l3 form factors, current algebra and double integral representations

1969 ◽  
Vol 26 (1-2) ◽  
pp. 169-177 ◽  
Author(s):  
I. Montvay
2000 ◽  
Vol 15 (19) ◽  
pp. 3037-3052
Author(s):  
H. FURUTSU ◽  
T. KOJIMA ◽  
Y.-H. QUANO

The SU(2)-invariant massive Thirring model with a boundary is considered on the basis of the vertex operator approach. The bosonic formulae are presented for the vacuum vector and its dual in the presence of the boundary. The integral representations are also given for form factors of the present model.


1967 ◽  
Vol 37 (4) ◽  
pp. 716-726 ◽  
Author(s):  
Akira Sato ◽  
Yoshimatsu Yokoo ◽  
Junji Takahashi

1968 ◽  
Vol 7 (3) ◽  
pp. 220-226 ◽  
Author(s):  
P.P. Srivastava

1969 ◽  
Vol 14 (3) ◽  
pp. 593-608 ◽  
Author(s):  
G. Denardo ◽  
G.J. Komen

1987 ◽  
Vol 31 (02) ◽  
pp. 79-90
Author(s):  
J. N. Newman

Analytical and numerical studies are made of the source potential for steady motion beneath a free surface. Various alternative integral representations are reviewed, and attention is focused on the component which usually is expressed as a double integral. A particular form is selected for numerical applications, where the double integral represents a symmetrical nonradiating disturbance, and the far-field waves are accounted for separately in the complementary single integral. Systematic expansions are derived for the singularity of the double integral at the origin, and for its asymptotic behavior far from the origin. Guided by these expansions, numerical approximations of the double integral are derived in terms of three-dimensional polynomials, which greatly facilitate the computation of the double integral. Tables of the coefficients in these approximations are presented, permitting the double integral to be evaluated throughout the three-dimensional domain with an accuracy of five to six decimal places. Greater accuracy can be achieved by using extended tables of the same coefficients. Algorithms for evaluating the Chebyshev polynomial approximations and a description of the computational methods used to derive the coefficients are included in the Appendices.


1970 ◽  
Vol 15 (1) ◽  
pp. 1-16 ◽  
Author(s):  
R. Jengo ◽  
E. Remiddi

1970 ◽  
Vol 1 (3) ◽  
pp. 957-957
Author(s):  
E. Fischbach ◽  
J. Smith
Keyword(s):  

2021 ◽  
Vol 16 (3) ◽  
Author(s):  
Hemant Kumar

In this paper for constructing of a class of functions consisting of integral representations, we introduce a double integral, a formula pertaining to extended fractal strings, consisting of separate variables functions in the integrand. Further by this double integral formula, we determine various functions, integrals and contour integral representations on introducing different special functions for these integrand functions connecting to RiemannLiouville and Weyl fractional integral functions. Finally, we apply our obtained results to find certain boundary value problems and present precise examples.


1967 ◽  
Vol 24 (12) ◽  
pp. 629-633 ◽  
Author(s):  
P. McNamee ◽  
R.J. Oakes
Keyword(s):  

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