q-Apostol–Euler Polynomials and q-Alternating Sums

• Дата: 2013
• Автори: Luo, Q.-M., Ло, К.-М.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2013
• Онлайн доступ: 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...