학술저널
REDUCIBILITY, MULTIBASIC EXPANSION AND INTEGRAL REPRESENTATION FOR BASIC APPELL FUNCTIONS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 18, No. 2
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2005.101 - 14 (14 pages)
- 0
We give bibasic expansion for basic Appell functions Φ (1) and Φ (2) , and their integral representations. We also give a continued fraction representation for Φ (2) .
1. Introduction
2. Basic Appell series
3. Reducibility as simple basic hypergeometric series
4. Transformations
5. Multibasic expansions
6. Integral representation
7. Relation between Φ (2) and Φ (3)
8. Reducibility of Φ (2)
9. Continued fraction representation
Conclusion
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