Q-tangent Polynomials Research Articles

Properties of Differential Equations Related to Degenerate q-Tangent Numbers and Polynomials

In this paper, we construct degenerate q-tangent numbers and polynomials and determine their related properties. Based on these numbers and polynomials, we also confirm that the structure of the approximate root changes according to changes in q and h. We find differential equations that have degenerate q-tangent polynomials as solutions and also find differential equations that have other polynomials as coefficients, confirming the relationships among these.

Dynamics of the zeros of analytic continued polynomials and differential equations associated with q-tangent polynomials

Dynamics of the zeros of analytic continued polynomials and differential equations associated with q-tangent polynomials

Symmetric identities for Carlitz's q-tangent polynomials using q-tangent zeta function

Our aim in this paper is to obtain symmetric properties for Carlitz’s q-tangent polynomials. We are going to find a symmetric identity for q-tangent zeta function. From property of the q-tangent zeta function, we derive some symmetric properties of Carlitz’s q-tangent polynomials. Mathematics Subject Classification: 11B68, 11S40, 11S80

Some identities on the twisted q-tangent polynomials and Bernstein polynomials

In this paper, we give some interesting identities on the Bernstein polynomials and twisted q-Tangent polynomials. Mathematics Subject Classification: 11B68, 11S40, 11S80

Structure of the zeros of the twisted q-tangent polynomials

Structure of the zeros of the twisted q-tangent polynomials

Some identities on the q-tangent polynomials and Bernstein polynomials

In this paper, we investigate some properties for the q-tangent numbers and polynomials. By using these properties, we give some interesting identities on the q-tangent polynomials and Bernstein polynomials. Throughout this paper, let p be a fixed odd prime number. The symbol, Zp, Qp and Cp denote the ring of p-adic integers, the field of p-adic rational numbers and the completion of algebraic closure of Qp. Let N be the set of natural numbers and Z+ = N ∪ {0}. As well known definition, the p-adic absolute

On the symmetric properties for the q-tangent polynomials

In [5], we introduced the q-tangent numbers and polynomials. By using these numbers and polynomials, we obtain some interesting relations between the power sums and the q-tangent polynomials. Mathematics Subject Classification: 11B68, 11S40, 11S80

Numerical computations of the zeros of the q-tangent polynomials

In [4], we introduced the q-tangent numbers Tn,q and polynomials Tn,q(x). In this paper, we observe the distribution of complex roots of the q-tangent polynomials Tn,q(x), using numerical investigation. Finally, we give a table for the solutions of the q-tangent polynomials Tn,q(x).