Abstract and Applied Analysis

Research Article

New Recursive Representations for the Favard Constants with Application to Multiple Singular Integrals and Summation of Series

Table 2

Calculated values of the magnitudes , , and for , by using formulas (65), (67), and (70), respectively.




0		0.346573590279972654709	0.34657359027997265471
1	−1.831931188354438030	−0.91596559417721901505	0.91596559417721901506
2	−2.103599580529289999	−1.31474973783080624966	0.78884984269848374979
3	−1.326437390660483389	−0.89924201634043412749	0.42719537432004926159
4	−0.586164434174921923	−0.41567176475313624651	0.17049266942178567636
5	−0.200415775434410589	−0.14636851588819525831	0.05404725954621533063
6	−0.055999130148030908	−0.04177075772178286763	0.01422837242624804042
7	−0.013242890305882861	−0.01003832077074076074	0.00320456953514210000
8	−0.002716221784223860	−0.00208540018388810697	0.00063082160033575329
9	−0.000492033289602442	−0.00038173093475665008	0.00011030235484579206
10	−0.000079824623761109	−0.00006247448634651347	0.00001735013741459518
11	−0.000011727851308441	−0.00000924763886476940	0.00000248021244367167
12	−0.000001574609462951	−0.00000124968150024699	0.00000032492796270360

r

0		0.693147180559945309417
1	0	0	0
2	−4.2071991610585799989	−2.10359958052928999945	2.10359958052928999945
3	−6.6086529882853881226	−3.77637313616307892720	2.83227985212230919540
4	−6.3627527878802461560	−3.92286552530160912232	2.43988726257863703368
5	−4.5591894893017946564	−2.95428020294335768590	1.60490928635843697049
6	−2.6255391709472096141	−1.76271265891422894113	0.86282651203298067295
7	−1.2684915655900274347	−0.87472015815662857450	0.39377140743339886016
8	−0.5287656648068309189	−0.37237211738940254175	0.15639354741742837714
9	−0.1940031559506448617	−0.13897143291435930434	0.05503172303628555739
10	−0.0635985732918145806	−0.04620733330628432785	0.01739123998553025277
11	−0.0188489390019113804	−0.01385968931040814707	0.00498924969150323336
12	−0.0050985327885974909	−0.00378779048977775268	0.00131074229881973820