Abstract
We evaluate some finite and infinite sums involving q-trigonometric and q-digamma functions. Upon letting q approach 1, one obtains corresponding sums for the classical trigonometric and the digamma functions. Our key argument is a theta product formula of Jacobi and Gosper's q-trigonometric identities.
| Original language | English |
|---|---|
| Pages (from-to) | 1803-1817 |
| Number of pages | 15 |
| Journal | International Journal of Number Theory |
| Volume | 16 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - Sept 1 2020 |
Keywords
- q -digamma function
- q -trigonometric functions
- transcendence
ASJC Scopus subject areas
- Algebra and Number Theory
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