New proofs of Ramanujan’s identities on false theta functions

被引：0
作者：
Liuquan Wang
机构：
[1] Wuhan University,School of Mathematics and Statistics
来源：
The Ramanujan Journal | 2019年 / 50卷
关键词：
False theta functions; Theta functions; Summation formulas; 33D15; 11P83;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We provide new proofs to five of Ramanujan’s intriguing identities on false theta functions without using the Rogers-Fine identity and Bailey transforms.
引用
收藏
页码：423 / 431
页数：8
相关论文
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  • [2] Andrews GE(2007)The Bailey transform and false theta functions Ramanujan J. 14 173-188
  • [3] Warnaar SO(2010)Bilateral Bailey lemma and false theta functions Int. J. Number Theory 6 515-577
  • [4] Chu W(2013)On the Int. J. Number Theory 9 2069-2089
  • [5] Zhang W(1917)-derivative and Proc. Lond. Math. Soc. 16 315-336
  • [6] Liu ZG(undefined)-series expansions undefined undefined undefined-undefined
  • [7] Rogers LJ(undefined)On two theorems of combinatory analysis and some allied identities undefined undefined undefined-undefined
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