Research Article
New Recursive Representations for the Favard Constants with Application to Multiple Singular Integrals and Summation of Series
Table 1
Exact and approximate values of the Favard constants
, calculated by the recursive formulas (
7a) and (
7b) using
Mathematica software package.
| | Exact values of | Approximate values of |
| 1 | | 1.5707963267948966192313216916 | 2 | | 1.2337005501361698273543113749 | 3 | | 1.2919281950124925073115131277 | 4 | | 1.2683475395052400681828168318 | 5 | | 1.2750820199386727219280887918 | 6 | | 1.2726723265645306132561498711 | 7 | | 1.2734371248066831633864461900 | 8 | | 1.2731754806526058136347769671 | 9 | | 1.2732612424724875463814366656 | 10 | | 1.2732323827293948495082797108 | 11 | | 1.2732419458721540967715077901 | 12 | | 1.2732387471572495304117396905 |
|
|