Short intervals asymptotic formulae for binary problems with primes and powers,I: density 3/2 |
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| Authors: | Alessandro Languasco Alessandro Zaccagnini |
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| Institution: | 1.Institute of Mathematics,Zhejiang Wanli University,Ningbo,China;2.School of Computing Science,Zhejiang University City College,Hangzhou,China |
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| Abstract: | We investigate two kinds of q-analogues of generalized Stirling numbers. One is a q-analogue of Hsu-Shiue’s generalized Stirling numbers and the other is a q-analogue of Comtet’s numbers. In particular, we derive a q-analogue of an equality of Dobinski-type. Moreover, a determinant of the matrix consisting of the q-analogue of Comtet’s numbers is evaluated. |
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