A New Type of Euler Polynomials and Numbers
Tóm tắt
By defining two specific exponential generating functions, we introduce a kind of Euler polynomials and study its basic properties in detail. As an application of the introduced polynomials, we use them in computing some new series of Taylor type that contain the associated Euler numbers
$$E_n(0)$$
where
$$E_n(x)$$
is the Euler polynomial.
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