The aim of this note is to provide a natural extension and generalisation of the well-known Gelfond constant eπ using a hypergeometric function approach. An extension is also found for the square root of this constant. Several known mathematical constants are also deduced in hypergeometric form from our newly introduced constant.
|Number of pages||7|
|Early online date||31 Dec 2021|
|Publication status||Published - 1 Mar 2022|
- Gelfond's constant
- Hypergeometric function
- Gauss summation theorem