DECOMPOSITION FORMULAS AND INTEGRAL REPRESENTATIONS FOR THE KAMP¶E DE F¶ERIET FUNCTION F0:3;3

• 발행기관: 충청수학회
• 저자명: June sang Choi Mamasali Turaev
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 23, No. 4, 679~689쪽, 전체 11쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2010.12.30

영문 초록

By developing and using certain operators like those initiated by Burchnall-Chaundy, the authors aim at investigating several decomposition formulas associated with the Kamp¶e de F¶eriet function F0:3;3 2:0;0 [x; y]. For this purpose, many operator identities in- volving inverse pairs of symbolic operators are constructed. By employing their decomposition formulas, they also present a new group of integral representations of Eulerian type for the Kamp¶e de F¶eriet function F0:3;3 2:0;0 [x; y], some of which include several hyperge- ometric functions such as 2F1, 3F2, an Appell function F3, and the Kamp¶e de F¶eriet functions F0:3;3 2:0;0 and F0:2;31:0;1 .

목차

1. Introduction and preliminaries

2. A set of operator identities

3. Decomposition formulas for Kamp¶e de F¶eriet function F0:3;3 2:0;0 [x; y]

Acknowledgments

References