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@article{ART002459565},
author={Jung ho yong and PARK,WONYANG and Sang Young Jei},
title={A Study on the Generalized Tangent Polynomials Using the Characteristics of Numbers},
journal={Journal of Knowledge Information Technology and Systems},
issn={1975-7700},
year={2019},
volume={14},
number={2},
pages={137-144},
doi={10.34163/jkits.2019.14.2.004}

TY - JOUR
AU - Jung ho yong
AU - PARK,WONYANG
AU - Sang Young Jei
TI - A Study on the Generalized Tangent Polynomials Using the Characteristics of Numbers
JO - Journal of Knowledge Information Technology and Systems
PY - 2019
VL - 14
IS - 2
PB - Korea Knowledge Information Technology Society
SP - 137
EP - 144
SN - 1975-7700
AB - Recently, Korean mathematicians and foreign mathematicians have been studying the number of Bernoulli and the polynomial of Bernoulli, the number of Euler and the polynomial of Euler, the number of Genocchi and the polynomial of Genocchi, and the number of tangent and the polynomial of tangent. In specially, main studies are the generalized Bernoulli numbers and polynomials, the generalized of Euler numbers and polynomials, the generalized of Genocchi numbers and polynomials, and the generalized of tangent numbers and polynomials. In this study, we study generalized tangent numbers and polynomials in line with recent research trends. Firstly, the relationship between Bernoulli numbers and polynomials, Euler numbers and polynomials, Genocchi numbers and polynomials, and Stirling numbers of the first kind and Stirling numbers of the second kind are studied using the generating function. Next, tangent numbers and polynomials are derived through the generating function corresponding to the real parameters and complex parameters. In conclusion, we investigate properties of the generalized tangent numbers and polynomials as some identities including the generalized tangent numbers and polynomials. In further research, we will conduct a study on the calculation of the symmetric properties and roots of tangent polynomials using the newly proven generalized tangent numbers and polynomials.
KW - Bernoulli numbers & polynomials;Euler numbers & polynomials;Genocchi numbers & polynomials;Tangent numbers & polynomials;Complex parameter;Stirling numbers of the first kind;Stirling numbers of the second kind
DO - 10.34163/jkits.2019.14.2.004
ER -

Jung ho yong, PARK,WONYANG and Sang Young Jei. (2019). A Study on the Generalized Tangent Polynomials Using the Characteristics of Numbers. Journal of Knowledge Information Technology and Systems, 14(2), 137-144.

Jung ho yong, PARK,WONYANG and Sang Young Jei. 2019, "A Study on the Generalized Tangent Polynomials Using the Characteristics of Numbers", Journal of Knowledge Information Technology and Systems, vol.14, no.2 pp.137-144. Available from: doi:10.34163/jkits.2019.14.2.004

Jung ho yong, PARK,WONYANG, Sang Young Jei "A Study on the Generalized Tangent Polynomials Using the Characteristics of Numbers" Journal of Knowledge Information Technology and Systems 14.2 pp.137-144 (2019) : 137.

Jung ho yong, PARK,WONYANG, Sang Young Jei. A Study on the Generalized Tangent Polynomials Using the Characteristics of Numbers. 2019; 14(2), 137-144. Available from: doi:10.34163/jkits.2019.14.2.004

Jung ho yong, PARK,WONYANG and Sang Young Jei. "A Study on the Generalized Tangent Polynomials Using the Characteristics of Numbers" Journal of Knowledge Information Technology and Systems 14, no.2 (2019) : 137-144.doi: 10.34163/jkits.2019.14.2.004

Jung ho yong; PARK,WONYANG; Sang Young Jei. A Study on the Generalized Tangent Polynomials Using the Characteristics of Numbers. Journal of Knowledge Information Technology and Systems, 14(2), 137-144. doi: 10.34163/jkits.2019.14.2.004

Jung ho yong; PARK,WONYANG; Sang Young Jei. A Study on the Generalized Tangent Polynomials Using the Characteristics of Numbers. Journal of Knowledge Information Technology and Systems. 2019; 14(2) 137-144. doi: 10.34163/jkits.2019.14.2.004

Jung ho yong, PARK,WONYANG, Sang Young Jei. A Study on the Generalized Tangent Polynomials Using the Characteristics of Numbers. 2019; 14(2), 137-144. Available from: doi:10.34163/jkits.2019.14.2.004

Jung ho yong, PARK,WONYANG and Sang Young Jei. "A Study on the Generalized Tangent Polynomials Using the Characteristics of Numbers" Journal of Knowledge Information Technology and Systems 14, no.2 (2019) : 137-144.doi: 10.34163/jkits.2019.14.2.004