  We introduce the generalized degenerate Euler-Genocchi polynomials as a
degenerate version of the Euler-Genocchi polynomials. In addition, we introduce
their higher-order version, namely the generalized degenerate Euler-Genocchi
polynomials of order {\alpha}, as a degenerate version of the generalized
Euler-Genocchi polynomials of order {\alpha}. The aim of this paper is to study
certain properties and identities involving those polynomials, the generalized
falling factorials, the degenerate Euler polynomials of order {\alpha}, the
degenerate Stirling numbers of the second kind, and the alternating degenerate
power sum of integers.
