Application of a New Iterative Formula for Computing π and Nested Radicals with Roots of 2
In this work, we obtain an iterative formula that can be used for computing digits of π and nested radicals of kind cn/2−cn−1, where c0=0 and cn=2+cn−1. We also show how with the help of this iterative formula, the two-term Machin-like formulas for π can be generated and approximated. Some examples with Mathematica codes are presented.
Authors
- Rehan Siddiqui (ORCID: https://orcid.org/0000-0002-9949-3866)
- Sanjar M. Abrarov
- Rajinder Kumar Jagpal
- Brendan M. Quine (ORCID: https://orcid.org/0000-0002-7326-2779)
Institutions
- York University (CA)
- Thoth Technology (Canada) (CA)
Publication Details
- Journal
- AppliedMath
- Published
- 2025-11-06
- DOI
- https://doi.org/10.3390/appliedmath5040156
- Primary Topic
- Coding theory and cryptography
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- York University
- National Research Council Canada