@article{ART002459569},

author={Jung ho yong and PARK,WONYANG and Sang Young Jei},

title={Symmetric Properties of the Generalized Tangent Polynomials and Computation of their Zeros},

journal={Journal of Knowledge Information Technology and Systems},

issn={1975-7700},

year={2019},

volume={14},

number={2},

pages={171-181},

doi={10.34163/jkits.2019.14.2.007}

TY - JOUR

AU - Jung ho yong

AU - PARK,WONYANG

AU - Sang Young Jei

TI - Symmetric Properties of the Generalized Tangent Polynomials and Computation of their Zeros

JO - Journal of Knowledge Information Technology and Systems

PY - 2019

VL - 14

IS - 2

PB - Korea Knowledge Information Technology Society

SP - 171

EP - 181

SN - 1975-7700

AB - This study describes the symmetrical properties and root calculations of generalized tangent polynomials following the study of the generalized tangent polynomials using the characteristics of numbers. The generalized tangent polynomial has the relational characteristics of the number of Genocchi and the polynomial of Genocchi, and the number of Euler and the polynomial of Euler. In this study, the symmetrical properties of generalized tangent polynomials are demonstrated by dividing them into three parts. This study also uses the Mathematica software program to approach numerically. The results of symmetrical properties are identified by graphs and figures through the Mathematica software program. Next, the calculation of root for generalized tangent polynomials is taken, for example, when the generalized tangent polynomial index is 3. The calculation of root of generalized tangent polynomial is shown by tables and graphs through the Mathematica software program. In this study, the symmetrical properties and root calculations of generalized tangent polynomials were conducted through the Mathematica software program. As a result, two guesses were possible in this study. The first generalized tangent polynomial would be a function of reflective substitution analytical plurality, and the second generalized tangent polynomial would have real zeros. Looking forward to a numerical approach using the Mathematica software program in the field of generalized tangent polynomial research, this study concludes.

KW - Generalized tangent numbers & polynomials;Euler numbers & polynomials;Genocchi numbers & polynomials;Symmetric;Numerical investigation on the zeros

DO - 10.34163/jkits.2019.14.2.007

ER -

Jung ho yong, PARK,WONYANG and Sang Young Jei. (2019). Symmetric Properties of the Generalized Tangent Polynomials and Computation of their Zeros. Journal of Knowledge Information Technology and Systems, 14(2), 171-181.

Jung ho yong, PARK,WONYANG and Sang Young Jei. 2019, "Symmetric Properties of the Generalized Tangent Polynomials and Computation of their Zeros", Journal of Knowledge Information Technology and Systems, vol.14, no.2 pp.171-181. Available from: doi:10.34163/jkits.2019.14.2.007

Jung ho yong, PARK,WONYANG, Sang Young Jei "Symmetric Properties of the Generalized Tangent Polynomials and Computation of their Zeros" Journal of Knowledge Information Technology and Systems 14.2 pp.171-181 (2019) : 171.

Jung ho yong, PARK,WONYANG, Sang Young Jei. Symmetric Properties of the Generalized Tangent Polynomials and Computation of their Zeros. 2019; 14(2), 171-181. Available from: doi:10.34163/jkits.2019.14.2.007

Jung ho yong, PARK,WONYANG and Sang Young Jei. "Symmetric Properties of the Generalized Tangent Polynomials and Computation of their Zeros" Journal of Knowledge Information Technology and Systems 14, no.2 (2019) : 171-181.doi: 10.34163/jkits.2019.14.2.007

Jung ho yong; PARK,WONYANG; Sang Young Jei. Symmetric Properties of the Generalized Tangent Polynomials and Computation of their Zeros. Journal of Knowledge Information Technology and Systems, 14(2), 171-181. doi: 10.34163/jkits.2019.14.2.007

Jung ho yong; PARK,WONYANG; Sang Young Jei. Symmetric Properties of the Generalized Tangent Polynomials and Computation of their Zeros. Journal of Knowledge Information Technology and Systems. 2019; 14(2) 171-181. doi: 10.34163/jkits.2019.14.2.007

Jung ho yong, PARK,WONYANG, Sang Young Jei. Symmetric Properties of the Generalized Tangent Polynomials and Computation of their Zeros. 2019; 14(2), 171-181. Available from: doi:10.34163/jkits.2019.14.2.007

Jung ho yong, PARK,WONYANG and Sang Young Jei. "Symmetric Properties of the Generalized Tangent Polynomials and Computation of their Zeros" Journal of Knowledge Information Technology and Systems 14, no.2 (2019) : 171-181.doi: 10.34163/jkits.2019.14.2.007