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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2010.1
- 수록면
- 165 - 175 (11page)
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In the paper we consider deemed three mock theta functions introduced by Hikami. We have given their alternative expressions in double summation analogous to Hecke type expansion. In proving we also give a new Bailey pair relative to a2. I presume they will be helpful in getting fundamental transformations.
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참고문헌 (8)
참고문헌 신청
D. Hickerson / 1988 / On the seventh order mock theta functions / Inven. Math. 94 : 661 ~ 677
D. Hickerson / 1998 / A proof of mock theta conjectures / Inven. Math. 94 : 639 ~ 660
G. E. Andrews / 1986 / The fth and seventh order mock theta functions / Trans. Amer. Math. Soc. 293 : 113 ~ 134
G. E. Andrews / 1991 / Ramanujan's \ Lost" Notebook VII: The sixth order mock theta functions / Adv. in Math. 89 : 60 ~ 105
G. N. Watson / 1936 / The nal problem: An account of the mock theta functions / J. London Math. Soc. 11 : 55 ~ 80
D. Hickerson / 1998 / A proof of mock theta conjectures / Inven. Math. 94 : 639 ~ 660
G. E. Andrews / 1986 / The fth and seventh order mock theta functions / Trans. Amer. Math. Soc. 293 : 113 ~ 134
G. E. Andrews / 1991 / Ramanujan's \ Lost" Notebook VII: The sixth order mock theta functions / Adv. in Math. 89 : 60 ~ 105
G. N. Watson / 1936 / The nal problem: An account of the mock theta functions / J. London Math. Soc. 11 : 55 ~ 80
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