Article ID: MTJPAM-D-24-00015

Title: Analogous of Rogers-Ramanujan type continued fraction identity

Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-24-00015; Volume 6 / Issue 2 / Year 2024, Pages 24-36

Document Type: Research Paper

Author(s): Ballenahalli Ningegowda Dharmendra ^a , Muguru Chinnaswamy Mahesh Kumar ^b , Kurady Sushan Bairy ^c

^aDepartment of Mathematics, Government College for Women, Kolar, India

^bDepartment of Mathematics, Government First Grade College, K. R. Purum, Bengaluru, India

^cDepartment of Mathematics, School of Applied Sciences, REVA University, Bengaluru, India

Received: 6 February 2024, Accepted: 6 July 2024, Published: 4 August 2024

Corresponding Author: Muguru Chinnaswamy Mahesh Kumar (Email address: softmahe15@gmail.com)

Full Text: PDF

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Abstract

Ramanujan has recorded a general continued fraction in his ‘lost’ notebook. A new continued fraction μ(q) is derived in this article from general continued fraction. Modular relations involving μ(q) and 2-dissection of continued fraction μ(q) are obtained further.

Keywords: Continued fractions, modular equations

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