On the Twisted Modified Degenerate Euler Polynomials

Explicit relations for the modified degenerate Apostol-type polynomials

“…Keeping in view many of the above-mentioned and other related investigation by Carlitz (see [1,2]), Dolgy et al [3], Kim et al [5], He et al [6], Kim [7] , Kwon et al [8], Kurt [9,10], Liu and Wang [11], Luo [12,13], Srivastava [16], Kurt [18], Yang [21], Young [22]. We systematically study the above defined the generalized higher order modified degenerate Apostol-Bernoulli polynomials and the generalized higher order modified degenerate Apostol-Euler polynomials.…”

“…Thus, by applying (7), we find that [8] studied the analogously modified degenerate Euler polynomials ‫ܧ‬ ሺ‫ߣ|ݔ‬ሻ generated by…”

“…Motivated essentially by each of these works [3] and [8], we consider and investigate the generalized higher order modified degenerate Apostol-Bernoulli polynomials ‫ܤ‬ ,ఈ () ሺ‫ߣ|ݔ‬ሻ and the generalized higher order modified degenerate Apostol-Euler polynomials ‫ܧ‬ሺ‫ߣ|ݔ‬ሻ by means of following generating functions…”