학술저널
DECOMPOSITION FORMULAS AND INTEGRAL REPRESENTATIONS FOR SOME EXTON HYPERGEOMETRIC FUNCTIONS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 24, No. 4
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2011.11745 - 758 (14 pages)
- 2
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.
1. Introduction and preliminaries
2. A set of operator identities
3. Decomposition formulas
4. Integral representations
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