q-Apostol–Euler Polynomials and q-Alternating Sums
Basic 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.
English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 8, pp 1231-1246.
Citation Example: Luo Q.-M. q-Apostol–Euler Polynomials and q-Alternating Sums // Ukr. Mat. Zh. - 2013. - 65, № 8. - pp. 1104–1117.