Generalizing the Burchnall-Chaundy operator method, the authors are aiming at presenting certain decomposition formulas for the chosen six Exton functions expressed in terms of Appell s functions F3 and F4, Horn s functions H3 and H4, and Gauss s hype...
Generalizing the Burchnall-Chaundy operator method, the authors are aiming at presenting certain decomposition formulas for the chosen six Exton functions expressed in terms of Appell s functions F3 and F4, Horn s functions H3 and H4, and Gauss s hypergeometric function F. We also give some integral representa- tions for the Exton functions Xi (i = 6; 8; 14) each of whose kernels contains the Horn s function H4.