Work

On some continued fraction expansions for the ratios of the function

Year: 2013

Type: article

Abstract: In his lost notebook, Ramanujan has defined a function and has given a beautiful reciprocity theorem involving $\rho(a,~b)$. In this paper we obtain some continued fraction expansions for the ratios of $\rho(a,~b)$ with some of its contiguous functions. We also obtain some interesting special cases of our continued fraction expansions which are analogous to the continued fraction identities stated by Ramanujan.\end

Source: Note di matematica/Note di matematica - Università degli studi di Lecce

DOI: 10.1285/i15900932v33n2p35

Authors: Somashekara, D.D., Shalini, S.L., Narasimha Murthy, K.

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: University Grants Commission

Awards: G1843734400, G4812233187, G6036548507, G6267115271

OpenAlex ID: W2169841346

FWCI:

Cites: 11

Cited by:

Related to: 10