Czasopismo
Tytuł artykułu
Warianty tytułu
Języki publikacji
Abstrakty
In this paper, we establish several explicit evaluations, reciprocity theorems and integral representations for a continued fraction of order twelve which are analogues to Rogers-Ramanujan’s continued fraction and Ramanujan’s cubic continued fraction.
Słowa kluczowe
Kategorie tematyczne
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
393-404
Opis fizyczny
Daty
wydano
2008-09-01
online
2008-07-02
Twórcy
autor
- Bangalore University, Central College Campus, msmnaika@rediffmail.com
autor
- Bangalore University, Central College Campus, dharmamath@rediffmail.com
autor
- Yuvaraja’s College, University of Mysore, drksshankara@gmail.com
Bibliografia
- [1] Adiga C., Berndt B.C., Bhargava S., Watson G.N., Chapter 16 of Ramanujan’s second notebook: theta-function and q-series, Mem. Amer. Math. Soc., 1985, 53, no. 315
- [2] Berndt B.C., Ramanujan’s notebooks Part III, Springer-Verlag, New York, 1991
- [3] Chan H.H., Ramanujan’s elliptic functions to alternative bases and approximations to π, Number Theory for the Millennium I, Proceedings of the Millennial Number Theory Conference (May 2000 Champaign-Urbana USA), 2002, 197–213
- [4] Jacobsen L., Domains of validity for some of Ramanujan’s continued fraction formulas, J. Math. Anal. Appl., 1989, 143, 412–437 http://dx.doi.org/10.1016/0022-247X(89)90049-8
- [5] Ramanujan S., Notebooks, Tata Institute of Fundamental Research, Bombay, 1957
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_2478_s11533-008-0031-y