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q-extensions of some relationships between the Bernoulli and Euler polynomials. (English) Zbl 1238.05025
Summary: The main object of this paper is to give q-extensions of several explicit relationships of H. M. Srivastava and A. Pintér [Appl. Math. Lett. 17, No. 4, 375–380 (2004; Zbl 1070.33012)] between the Bernoulii and Euler polynomials. We also derive several other formulas in series of Carlitz’s q-Stirling numbers of the second kind.
MSC:
11B68Bernoulli and Euler numbers and polynomials
11B73Bell and Stirling numbers
11S80Other analytic theory of local fields
05A30q-calculus and related topics