ON CARLITZ'S TYPE q-TANGENT NUMBERS AND POLYNOMIALS AND COMPUTATION OF THEIR ZEROS

A note on the Carlitz's type twisted q-tangent numbers and polynomials

“…In the limit when q → 1, the results of this paper are the same as those of [3]. Also, if we take ω = 1, then [2] is the special case of this paper.…”

“…Mathematicians have worked in the area of the tangent numbers and polynomials(see [1][2][3][4][5][6][7][8]). In this paper, we define q-analogue of tangent polynomials and numbers and study some properties of the q-analogue of tangent numbers and polynomials.…”

“…Some interesting properties of the classical twisted tangent numbers and polynomials were first investigated by Ryoo [3]. Many kinds of of generalizations of these numbers and polynomials have been presented in the literature(see [ 2,3,4,5,6,7]). The q-number is defined by…”

Symmetric Identities for (P,Q)-Analogue of Tangent Zeta Function

“…The field of the special polynomials such as tangent polynomials, Bernoulli polynomials, Euler polynomials, and Genocchi polynomials is an expanding area in mathematics (see [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]). Many generalizations of these polynomials have been studied (see [1,[3][4][5][6][7][8][9][11][12][13][14][15][16][17][18]). Srivastava [14] developed some properties and q-extensions of the Euler polynomials, Bernoulli polynomials, and Genocchi polynomials.…”

“…respectively. Some interesting properties of basic extensions and generalizations of the tangent numbers and polynomials have been worked out in [11,12,[18][19][20]. The (p, q)-number is defined as…”