The purpose of this work is to give modified definitions of Apostol-Euler polynomials and numbers of higher order. We establish their elementary properties, sums, explicit relations, integrals and differential relations. A number of new results which introduced are generalization of known results and their special cases lead to the corresponding formulas of the classical Euler numbers and polynomials.
"Modified Apostol-Euler numbers and polynomials of higher order." Tbilisi Math. J. 11 (4) 53 - 66, September 2018. https://doi.org/10.32513/tbilisi/1546570885