Gaurav Bhatnagar

collaborators

Showing math.NTShow all

2 papers · 1 filter

math.NT2026

An elementary treatment of Ramanujan's elementary continued fractions

Gaurav Bhatnagar

We study the elementary continued fractions of Ramanujan. The entries considered are precursors of his hypergeometric and $q$ -hypergeometric continued fractions. They appear in the…

math.NT2026

The method of telescoping continued fractions

Gaurav Bhatnagar, Krishnan Rajkumar

We give an approach to discover continued fractions for series of the form $k = 0 \sum \infty \frac{ε ^{k}}{( x + k ) ^{s}},$ where $ε = \pm 1$ . We find a continued fraction of the form \be…