Abstract
We establish new inequalities for Gaussian hypergeometric functions that are not zerobalanced. In the literature, such inequalities are referred to as Landen-type inequalities, as they generalize the classical Landen identity for the complete elliptic integral of the first kind. We also discuss comparisons, including numerical simulations, between our results and existing similar ones in the literature.
| Original language | English |
|---|---|
| Pages (from-to) | 707-715 |
| Number of pages | 9 |
| Journal | Journal of Mathematical Inequalities |
| Volume | 19 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Jun 2025 |
Research Keywords
- Gaussian hypergeometric functions
- Landen inequalities
Publisher's Copyright Statement
- This full text is made available under CC-BY-NC 3.0. https://creativecommons.org/licenses/by-nc/3.0/
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