13 citations · 39 across the 19 of their papers we have counts for
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Ramanujan's -continued fractions
Gaurav Bhatnagar
Ramanujan's -continued fractions are a central part of Ramanujan's development of basic hypergeometric series. They appear in Chapter 16 of Part III and Chapter 32 of Part V of…
Telescoping continued fractions for the error term in Stirling's formula
Gaurav Bhatnagar, Krishnan Rajkumar
In this paper, we introduce telescoping continued fractions to find lower bounds for the error term in Stirling's approximation $\displaystyle n! = \sqrt{2π}n^{n+1/2}e^{-n}e^…
Expansion formulas for multiple basic hypergeometric series over root systems
Gaurav Bhatnagar, Surbhi Rai
We extend expansion formulas of Liu given in 2013 to the context of multiple series over root systems. Liu and others have shown the usefulness of these formulas in Special Functio…
On Entry II.16.12: A continued fraction of Ramanujan
Gaurav Bhatnagar, Mourad E. H. Ismail
We study a continued fraction due to Ramanujan, that he recorded as Entry 12 in Chapter 16 of his second notebook. It is presented in Part III of Berndt's volumes on Ramanujan's no…
Orthogonal polynomials associated with a continued fraction of Hirschhorn
Gaurav Bhatnagar, Mourad E. H. Ismail
We study orthogonal polynomials associated with a continued fraction due to Hirschhorn. Hirschhorn's continued fraction contains as special cases the famous Rogers--Ramanujan conti…
The Determinant of an Elliptic Sylvesteresque Matrix
Gaurav Bhatnagar, Christian Krattenthaler
We evaluate the determinant of a matrix whose entries are elliptic hypergeometric terms and whose form is reminiscent of Sylvester matrices. A hypergeometric determinant evaluation…