摘要: In this chapter we focus on functions of q x , or equivalently the q-binomial coefficients. We systematically find q-analogues formulas for Stirling numbers from Jordan and elementary textbooks by J. Cigler Schwatt. To end, various q-difference operators are used. each Sections 5.2–5.4, a certain such △ operator four (the quartet formulas) in section. A q-power sum Carlitz plays special role. present tables recurrence two polynomial q-Stirling numbers.