• Journal of applied mathematics & informatics
• /
• v.41 no.2
• /
• pp.331-343
• /
• 2023

In this paper, we give explicit identities for the degenerate q-poly-tangent numbers and polynomials. Finally, we obtain the relation of degenerate q-poly-tangent polynomials and Stirling numbers of the first kind and Stirling numbers of the second kind.

• Journal of applied mathematics & informatics
• /
• v.36 no.3_4
• /
• pp.205-212
• /
• 2018

In this paper, we study linear differential equations arising from the generating functions of twisted (h, q)-tangent polynomials. We give explicit identities for the twisted (h, q)-tangent polynomials.

• Journal of applied mathematics & informatics
• /
• v.38 no.3_4
• /
• pp.301-309
• /
• 2020

Recently, M. Masjed-Jamai et al. in ([6]-[7]) and Srivastava et al. in ([15]-[16]) considered the parametric type of the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. They proved some theorems and gave some identities and relations for these polynomials. In this work, we define the parametric poly-tangent numbers and polynomials. We give some relations and identities for the parametric poly-tangent polynomials.

• Journal of applied mathematics & informatics
• /
• v.42 no.2
• /
• pp.457-469
• /
• 2024

In this paper, we construct higher-order (p, q)-poly-tangent numbers and polynomials and give several properties, including addition formula and multiplication formula. Finally, we explore the distribution of roots of higher-order (p, q)-poly-tangent polynomials.

• Journal of applied mathematics & informatics
• /
• v.41 no.6
• /
• pp.1365-1376
• /
• 2023

In this paper, we construct higher-order poly-tangent polynomials and study several properties, including addition formula and multiplication formula. Finally, we explore the distribution of roots of higher-order poly-tangent polynomials.

• Journal of applied mathematics & informatics
• /
• v.36 no.1_2
• /
• pp.115-120
• /
• 2018

In this paper, we discover symmetric properties for generalized Carlitz's q-tangent polynomials.

• Journal of applied mathematics & informatics
• /
• v.35 no.1_2
• /
• pp.113-120
• /
• 2017

In this paper, we introduce degenerate tangent numbers ${\mathcal{T}}^{(k)}_{n,q}({\lambda})$ and tangent polynomials ${\mathcal{T}}^{(k)}_{n,q}(x,{\lambda})$ of higher order. Finally, we obtain interesting properties of these numbers and polynomials.

• Journal of applied mathematics & informatics
• /
• v.35 no.5_6
• /
• pp.495-504
• /
• 2017

In this paper we construct the Carlitz's type q-tangent numbers $T_{n,q}$ and polynomials $T_{n,q}(x)$. From these numbers and polynomials, we establish some interesting identities and relations.

• Journal of applied mathematics & informatics
• /
• v.32 no.3_4
• /
• pp.315-322
• /
• 2014

In this paper, we observe the behavior of complex roots of the tangent polynomials $T_n(x)$, using numerical investigation. By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of the tangent polynomials $T_n(x)$. Finally, we give a table for the solutions of the tangent polynomials $T_n(x)$.

• Journal of Applied and Pure Mathematics
• /
• v.5 no.5_6
• /
• pp.291-301
• /
• 2023

In this paper, we investigate the zeros of the fully modified q-poly-tangent polynomials of the first type.