Search Results

You are looking at 1 - 3 of 3 items :

  • "Fermionic integral" x
Clear All


In this paper, by considering higher-order degenerate Bernoulli and Euler polynomials which were introduced by Carlitz, we investigate some properties of mixed-type of those polynomials. In particular, we give some identities of mixed-type degenerate special polynomials which are derived from the fermionic integrals on Zp and the bosonic integrals on Zp.

-invariant integrals on ℤ p \mathbb{Z}_{p} associated with applications of umbral calculus Adv. Difference Equ. 2013 2013 Aricle ID 96 [2] S. Araci, M. Acikgoz and E. Şen, On the extended Kim’s p -adic q -deformed fermionic integrals in the p -adic integer ring, J. Number Theory 133 (2013), no. 10, 3348–3361. 10.1016/j.jnt.2013.04.007 Araci S. Acikgoz M. Şen E. On the extended Kim’s p -adic q -deformed fermionic integrals in the p -adic integer ring J. Number Theory 133 2013 10 3348 3361 [3] A. Bayad and T. Kim, Identities involving values of Bernstein, q

(A.26) is performed using methods essentially analogous to those considered in the previous section, although there are additional complications associated with the large number of bosonic zero modes, gauge invariance, etc. This Gaussian integral was computed explicitly by ’t Hooft (1976b). Here, we shall be primarily interested in the fermionic integral (A.27) in the instanton field. It is useful to discuss the computation of an integral of the type (A.27) in an arbitrary external field Aµ and to consider, for specificity, the cases k = m = 0 and k = m = 1, i