A STUDY OF THE BILATERAL FORM OF THE MOCK THETA FUNCTIONS OF ORDER EIGHT

• 발행기관: 충청수학회
• 저자명: Bhaskar Srivastava
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 18, No. 2, 1~14쪽, 전체 14쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2005.10.30

영문 초록

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.

목차

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)