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PreprintCC BY-SA 4.0arXiv

An elementary treatment of Ramanujan's elementary continued fractions

  • Gaurav Bhatnagar
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Abstract

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 first third of Chapter 12 of Ramanujan's second notebook.

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Cite

BibTeXRIS
BibTeX
@misc{bhatnagar2026elementary,
  title = {{An elementary treatment of Ramanujan's elementary continued fractions}},
  author = {Gaurav Bhatnagar},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.33529},
  eprint = {2609.33529},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.33529},
  note = {CC BY-SA 4.0},
}
RIS
TY  - UNPB
TI  - An elementary treatment of Ramanujan's elementary continued fractions
AU  - Gaurav Bhatnagar
PY  - 2026
DA  - 2026/09/27
PB  - arXiv
DO  - 10.48550/arxiv.2609.33529
UR  - https://arxiv.org/abs/2609.33529
AB  - 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 first third of Chapter 12 of Ramanujan's second notebook.
ER  -