Abstract:
Many mathematicians have studied varies relations between Euler numbers
En, Bernoulli numbers Bn and Genocchi numbers Gn. They have found numerous
important applications in number theory. In this thesis we explain
the term of Generalized Euler Polynoials of the Second kind. The generalized
Euler polynomials are related to the Bernoulli numbers and polynomials, also
Euler polynomials are related to Bernoulli numbers.
In this thesis we de ne the Generalized Euler Polynomials of the Second
Kinds ~"n(x): TheGeneralized Euler Polynomials of the Second Kind ~"n(x)
are related to Genocchi numbers. In this thesis we also explain some properties
of the generalized Euler polynomials them selves (the generalized Euler
polynomials of the second kinds (~"n(x)) with Euler polynomials(En(x))). The
Generalized Euler Polynomials of the Second Kinds ~"n(x) is used to induce
the main result of this thesis
