A numerical investigation on the structure of the roots of (h, q)-extension of q-analogue of Genocchi polynomials
In this paper, we construct a new (h, q)-extension of q-analogue of Genocchi polynomials G(n,q)((h))(x). We consider the behavior of real roots of the (h, q)-extension of q-analogue of Genocchi polynomials G(n,q)((h))(x), using numerical investigation. By numerical experiments, we demonstrate a remarkably regular structure of the complex roots of the G(n,q)((h))(x). Finally, we give a table for the solutions of the(h, q)-extension of q-analogue of Genocchi polynomials G(n,q)((h))(x).
(h, q)-extension of q-analogue of genocchi polynomials q-analogue of genocchi polynomials genocchi polynomials euler numbers euler polynomials genocchi numbers q-analogue of genocchi numbers