A STUDY OF THE BILATERAL FORM OF THE MOCK THETA FUNCTIONS OF ORDER EIGHT
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 18, No. 2
-
2005.101 - 14 (14 pages)
- 5
We give a generalization of bilateral mock theta functions of order eight and show that they are F q -functions. We also give an integral representation for these functions. We give a relation between mock theta functions of the first set and bilateral mock theta functions of the second set.
1. Introduction
2. Definition of the mock theta function of order eight
3. Definition of bilateral mock theta function of order eight
4. Bilateral generalized functions
5. F q -functions
6. Integral representation for the generalized bilateral functions
7. Relation between bilateral mock theta functions and mock theta functions of order eight
8. Transformation of series for bilateral mock theta functions
9. Another definition of bilateral mock theta functions of order eight
10. Relation between S 0c (q) and T 1c (q)
(0)
(0)