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Log-concavity of stirling numbers and unimodality of stirling distributions

Annals of the Institute of Statistical Mathematics, 1988
A series of inequalities involving Stirling numbers of the first and second kinds with adjacent indices are obtained. Some of them show log-concavity of Stirling numbers in three different directions. The in- equalities are used to prove unimodality or strong unimodality of all the subfamilies of Stirling probability functions.
openaire   +2 more sources

q-Stirling numbers

2012
In this chapter we focus on functions of q x , or equivalently functions of the q-binomial coefficients. We systematically find q-analogues of the formulas for Stirling numbers from Jordan and the elementary textbooks by J. Cigler and Schwatt. To this end, various q-difference operators are used. In each of Sections 5.2–5.4, we focus on a certain such △
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Free piston Stirling engines: A review

International Journal of Energy Research, 2020
Ar Tavakolpour-saleh   +2 more
exaly  

Stirling Numbers

1983
George Pólya   +2 more
openaire   +1 more source

A comprehensive review on modeling and performance optimization of Stirling engine

International Journal of Energy Research, 2020
Fawad Ahmed, Hulin Huang, Shoaib Ahmed
exaly  

Numerical investigation of a new combined energy system includes parabolic dish solar collector, Stirling engine and thermoelectric device

International Journal of Energy Research, 2021
Mohammad Marefati   +2 more
exaly  

Optimizing the Piston Paths of Stirling Cycle Cryocoolers

Journal of Non-Equilibrium Thermodynamics, 2022
exaly  

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