Recently, Cangul et al. [I.N. Cangul, H. Ozden and Y. Simsek, Generating functions of the (h, q) extension of twisted Euler polynomials and numbers, Acta Math. Hungar. 120(3) (2008), 281-299] constructed new generating functions of the twisted (h, q)-Euler numbers and polynomials attached to a Dirichlet character χ. They also constructed the partially twisted (h, q)-zeta function. They suggeste...

*Correspondence: [email protected] 3Department of Mathematics Education and ERI, Gyeongsang National University, Jinju, Republic of Korea Full list of author information is available at the end of the article Abstract We use the p-adic q-integral and group action to count the number of the generating functions of modified q-Euler polynomials in a prescribed set. Some generating function yield...

We study the subsonic flows governed by full Euler equations in the half plane bounded below by a piecewise smooth curve asymptotically approaching x1-axis. Nonconstant conditions in the far field are prescribed to ensure the real Euler flows. The Euler system is reduced to a single elliptic equation for the stream function. The existence, uniqueness and asymptotic behaviors of the solutions fo...