The purpose of this paper is to derive some applications of umbral calculus by using extended fermionic p-adic q-integral on Zp. From those applications, we derive some new interesting properties on the new family of Euler numbers and polynomials. That is, a systemic study of the class of Sheffer sequences in connection with generating function of the weighted q-Euler polynomials is given in the present paper. © 2013.
Araci, S., Acikgoz, M., & Şen, E. (2013). On the extended Kim’s p-adic q-deformed fermionic integrals in the p-adic integer ring. Journal of Number Theory, 133(10), 3348–3361. https://doi.org/10.1016/j.jnt.2013.04.007