q-Apostol–Euler Polynomials and q-Alternating Sums

• Datum: 2013
• Hauptverfasser: Luo, Q.-M., Ло, К.-М.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2013
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2493
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 -Apo...