Check your entry requirements. probabilistic and statistical applications [ 1, 4, 5, 111. Theory and applications of Stirling's numbers of the first kind Abstract. General Stirling Functions s(α, β) with Complex Arguments . A solar welding system that originally employs a solar furnace to concentrate solar energy (Romero et al. They were rediscovered and … New Modular Symmetric Function and its Applications: Modular s … lustrate possible applications in section 3, especially the Steven-Craig distribution, and we conclude the report with a numerical example in section 4. We give general combinatorial identities and some recurrence relations. Differentiability of the s(α, β); The zeta function encore. The study of q-Stirling numbers of the second kind began with Carlitz [L. Carlitz, Duke Math. They are named after James Stirling, who introduced them in a purely algebraic setting in his book Methodus differentialis. Theorem 1. Fulltext Access 22 Pages 2017. q-Stirling numbers: A new view. . Stirling cycle & its applications - SlideShare The q-Stirling numbers of the second kind and its applications