## Taiwanese Journal of Mathematics

### q-Extensions of Some Relationships Between the Bernoulli and Euler Polynomials

#### Abstract

The main object of this paper is to give $q$-extensions of several explicit relationships of H. M. Srivastava and Á. Pintér [Appl. Math. Lett. 17 (2004), 375-380] between the Bernoulii and Euler polynomials. We also derive several other formulas in series of Carlitz's $q$-Stirling numbers of the second kind.

#### Article information

Source
Taiwanese J. Math., Volume 15, Number 1 (2011), 241-257.

Dates
First available in Project Euclid: 18 July 2017

https://projecteuclid.org/euclid.twjm/1500406173

Digital Object Identifier
doi:10.11650/twjm/1500406173

Mathematical Reviews number (MathSciNet)
MR2780283

Zentralblatt MATH identifier
1238.05025

#### Citation

Luo, Qiu-Ming; Srivastava, H. M. q-Extensions of Some Relationships Between the Bernoulli and Euler Polynomials. Taiwanese J. Math. 15 (2011), no. 1, 241--257. doi:10.11650/twjm/1500406173. https://projecteuclid.org/euclid.twjm/1500406173

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