Abstract
References
- [1] J. A. Adell, B. Bényi, Probabilistic Stirling numbers and applications, Aequationes Math. 98, no. 6, 1627-1646, 2024.
Abstract
The aim of this paper is to derive a summation formula for the series and an expression for ζ(2n+2) by using hyperbolic secant random variables. These identities involve Euler numbers and are obtained by
computing the moments of the random variable and the moments of the sum of
two independent such random variables.
Keywords
zeta function hyperbolic secant random variable moment generating function robability density function
References
- [1] J. A. Adell, B. Bényi, Probabilistic Stirling numbers and applications, Aequationes Math. 98, no. 6, 1627-1646, 2024.
Details
| Primary Language | English |
|---|---|
| Subjects | Probability Theory, Algebra and Number Theory |
| Journal Section | Mathematics |
| Authors | |
| Early Pub Date | April 11, 2025 |
| Publication Date | |
| Submission Date | November 27, 2024 |
| Acceptance Date | February 23, 2025 |
| Published in Issue | Year 2025 Early Access |