119 research outputs found
A research on the recursive value and general terms of the analogue Euler zeta function on positive integers
On the Fermionic -adic Integral Representation of Bernstein Polynomials Associated with Euler Numbers and Polynomials
Some Relationships between the Analogs of Euler Numbers and Polynomials
We construct new twisted Euler polynomials and numbers. We also study the generating functions of the twisted Euler numbers and polynomials associated with their interpolation functions. Next we construct twisted Euler zeta function, twisted Hurwitz zeta function, twisted Dirichlet l-Euler numbers and twisted Euler polynomials at non-positive integers, respectively. Furthermore, we find distribution relations of generalized twisted Euler numbers and polynomials. By numerical experiments, we demonstrate a remarkably regular structure of the complex roots of the twisted q-Euler polynomials. Finally, we give a table for the solutions of the twisted q-Euler polynomials
The twisted (h, q)-Genocchi numbers and polynomials with weight α and q-bernstein polynomials with weight α
Some identities on Bernoulli and Euler polynomials arising from the orthogonality of Laguerre polynomials
Some identities on Bernoulli and Euler polynomials arising from orthogonality of Legendre polynomials
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