A Note on Continued Fractions and Mock Theta Functions

被引：0
作者：
Srivastava, Pankaj [1 ]
Gupta, Priya [1 ]
机构：
[1] Motilal Nehru Natl Inst Technol, Dept Math, Allahabad 211004, Uttar Pradesh, India
来源：
KYUNGPOOK MATHEMATICAL JOURNAL | 2016年 / 56卷 / 01期
关键词：
Mock theta functions; Basic hypergeometric function; Continued fraction;
D O I：
10.5666/KMJ.2016.56.1.173
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Mock theta functions are the most interesting topic mentioned in Ramanujan's Lost Notebook, due to its emerging application in the field of Number theory, Quantum invariants theory and etc. In the present research articles we have made an attempt to develop continued fractions representation of all the existing Mock theta functions.
引用
收藏
页码：173 / 184
页数：12
相关论文
共 40 条
[1]  
Agarwal R. P., 1994, P NAT ACAD SCI INDIA, V64, P95
[2]  
Agarwal R.P., 1995, RESONANCE RAMANUJANS, VII
[3]  
Agarwal R.P., 1998, RESONANCE RAMANUJANS, VIII
[4]  
Agrawal R. P., 2001, P INT C SSFA, V1, P11
[5]   RAMANUJAN LOST NOTEBOOK .7. THE 6TH ORDER MOCK THETA FUNCTIONS [J].
ANDREWS, GE ;
HICKERSON, D .
ADVANCES IN MATHEMATICS, 1991, 89 (01) :60-105
[6]  
Andrews GE., 2005, RAMANUJANS LOST NOTE
[7]  
Bailey WN., 1935, GEN HYPERGEOMETRIC S
[8]  
Berndt BC., 1989, RAMANUJANS NOTEBOOKS, DOI 10.1007/978-1-4612-4530-8
[9]  
Berndt BC., 1998, RAMANUJANS NOTEBOOKS, DOI [10.1007/978-1-4612-1624-7, DOI 10.1007/978-1-4612-1624-7]
[10]   Sixth order mock theta functions [J].
Berndt, Bruce C. ;
Chan, Song Heng .
ADVANCES IN MATHEMATICS, 2007, 216 (02) :771-786
1234