q-Apostol–Euler Polynomials and q-Alternating Sums
AbstractBasic properties are established and generating functions are obtained for the q -Apostol–Euler polynomials. We define q -alternating sums and obtain q -extensions of some formulas from Integral Transform. Spectr. Funct., 20, 377–391 (2009). We also deduce an explicit relationship between the q -Apostol–Euler polynomials and the q -Hurwitz–Lerch zeta-function.
How to Cite
LuoQ.-M. “Q-Apostol–Euler Polynomials and Q-Alternating Sums”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, no. 8, Aug. 2013, pp. 1104–1117, http://umj.imath.kiev.ua/index.php/umj/article/view/2493.