This paper studies some problems suggested by Stirling numbers, and defines generalized Stirling numbers s(n, k, r), S(n, k, r) and proves that generalized Stirling numbers and certain linear combination of generalized Stirling numbers are strong loga...
This paper studies some problems suggested by Stirling numbers, and defines generalized Stirling numbers s(n, k, r), S(n, k, r) and proves that generalized Stirling numbers and certain linear combination of generalized Stirling numbers are strong logarithmic concave functions of k for fixed n and r.