Abstract
References
- [1] K. Aomoto and M. Kita, Theory of hypergeometric functions, Springer Monographs Math, Tokyo, 2011.
Abstract
In this paper, we introduce the concept of strongly completely monotonic functions on time scales and explore several properties of these functions. We then present key results that are applied to analyze the cases for continuous, discrete, and quantum time scales. As applications, we prove that the Gauss hypergeometric functions $F(a,b;c;z)$ and the confluent hypergeometric functions of the first kind $M(a,c,z)$ are absolutely monotonic, while the confluent hypergeometric functions of the second kind $U(a,b;z)$ are both strongly completely monotonic and completely monotonic.
Keywords
Time scale Strongly completely monotonic Absolutely monotonic Completely monotonic Hypergeometric functions
References
- [1] K. Aomoto and M. Kita, Theory of hypergeometric functions, Springer Monographs Math, Tokyo, 2011.
Details
| Primary Language | English |
|---|---|
| Subjects | Real and Complex Functions (Incl. Several Variables) |
| Journal Section | Mathematics |
| Authors | |
| Early Pub Date | April 11, 2025 |
| Publication Date | |
| Submission Date | December 8, 2024 |
| Acceptance Date | February 28, 2025 |
| Published in Issue | Year 2025 Early Access |