Abstract
The aim in this note is to obtain new hypergeometric forms for the functions (Formula presented) where b is an arbitrary parameter, in terms of Gauss hypergeometric functions. An application of these results (Formula presented) is made to obtain the hypergeometric form of the roots of the cubic equation (Formula presented)This complements the entry in the compendium of Prudnikov et al. on page 472, entry (68) of the table, where only the middle root (either real or purely imaginary) is given in hypergeometric form.
| Original language | English |
|---|---|
| Pages (from-to) | 395-401 |
| Number of pages | 7 |
| Journal | Turkish World Mathematical Society Journal of Applied and Engineering Mathematics |
| Volume | 14 |
| Issue number | 1 |
| Publication status | Published - Jan 2024 |
Keywords
- Gauss hypergeometric function
- Roots of a cubic
- Pfaff-Kummer transformation