The matrix exponential plays a very important role in many fields of mathematics and physics. It can be computed by many methods. This work is devoted to the study of some explicit formulas for computing e A , where A is a special square matrix. The main results are based on the convergent power ser
✦ LIBER ✦
An explicit formula for the fourth moment of certain exponential sums
✍ Scribed by C. Calderón; M. J. de Velasco; M. J. Zarate
- Publisher
- Akadmiai Kiad
- Year
- 2010
- Tongue
- English
- Weight
- 547 KB
- Volume
- 130
- Category
- Article
- ISSN
- 1588-2632
No coin nor oath required. For personal study only.
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Let M~ be the supremum of a random walk drifting to -oo which is generated by the partial sums of a sequence of independent identically distributed random variables with a common distribution F. We prove that the moment generating function Eexp(sM~) is a rational function if and only if the function