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## Ryoo, Cheon Seoung

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 Author ID: ryoo.cheon-seoung Published as: Ryoo, C. S.; Ryoo, Cheon; Ryoo, Cheon S.; Ryoo, Cheon Seoung; Ryoo, Cheon-Seoung; Ryoo, CheonSeoung External Links: dblp · GND
 Documents Indexed: 293 Publications since 1994
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#### Co-Authors

 163 single-authored 49 Kim, Taekyun 22 Jung, Nam Soon 20 Lee, Hui Young 17 Kang, Jung-Yoog 14 Agarwal, Ravi P. 9 Jang, Lee-Chae 9 Kim, Young Hee Yun 9 Lee, Byungje 8 Lee, Sang Hun 6 Nakao, Mitsuhiro T. 5 Choi, Jongsung 5 Hwang, Kyung-Won 5 Kwon, Hyuck In 4 Rim, Seog-Hoon 3 Dolgiĭ, Dmitriĭ Viktorovich 3 Dolgy, Dmitry Victorovich 3 Jang, Yu Seon 3 Park, Dal-Won 3 Song, Howan 2 Jung, Ho Yun 2 Kim, Dae San 2 Kim, Minsoo 2 Kim, Youngho 2 Li, Chunji 2 Seo, Jong Jin 2 Yoon, Jihee 1 An, Chae Kyeong 1 Cao, Lili 1 Cho, Kanghun 1 Choi, Sang-Kyu 1 Han, Hyeon-Ho 1 Hwang, Jinsoo 1 Jung, Ho-Young 1 Kim, Byung Moo 1 Kim, Dojin 1 Kim, Philsu 1 Kim, Sangdong 1 Kim, Wonjoo 1 Kim, Young-Rok 1 Kim, Yung-Hwan 1 Kwon, Jung-Hyok 1 Lee, Miyoung 1 Li, Ning 1 Sohn, Gyoyong Y. 1 Wang, Wei 1 Yi, Heungsu 1 Yoo, Young Sil
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#### Serials

 49 Far East Journal of Mathematical Sciences 37 Journal of Computational Analysis and Applications 23 Journal of Applied Mathematics & Informatics 19 Proceedings of the Jangjeon Mathematical Society 15 Advanced Studies in Contemporary Mathematics (Kyungshang) 10 JP Journal of Algebra, Number Theory and Applications 9 Journal of Inequalities and Applications 9 Applied Mathematical Sciences (Ruse) 8 Computers & Mathematics with Applications 8 Applied Mathematics Letters 8 Neural, Parallel & Scientific Computations 8 International Journal of Mathematical Analysis (Ruse) 7 Abstract and Applied Analysis 6 Discrete Dynamics in Nature and Society 6 Advances in Difference Equations 5 Journal of Applied Mathematics and Computing 5 Journal of Concrete and Applicable Mathematics 4 Bulletin of the Korean Mathematical Society 4 Journal of Applied Mathematics 4 International Journal of Pure and Applied Mathematics 4 Journal of Nonlinear Science and Applications 3 Kyungpook Mathematical Journal 3 International Journal of Computer Mathematics 2 Applied Mathematics and Computation 2 International Journal of Mathematics and Mathematical Sciences 2 International Journal for Numerical Methods in Engineering 2 Journal of Computational and Applied Mathematics 2 Mathematical and Computer Modelling 2 International Mathematical Forum 2 Symmetry 1 Ars Combinatoria 1 Numerische Mathematik 1 Bulletin of Informatics and Cybernetics 1 Mathematics Journal of Toyama University 1 Honam Mathematical Journal 1 Taiwanese Journal of Mathematics 1 Tamsui Oxford Journal of Mathematical Sciences 1 Far East Journal of Applied Mathematics 1 The Korean Journal of Computational & Applied Mathematics 1 Nonlinear Functional Analysis and Applications 1 Information 1 Journal of Analysis and Applications 1 Journal of the Indonesian Mathematical Society 1 International Journal of Mathematical Sciences 1 Boundary Value Problems 1 International Journal of Applied Mathematics and Statistics 1 Advances in Theoretical and Applied Mathematics 1 International Review of Pure & Applied Mathematics 1 Advanced Studies in Theoretical Physics 1 ISRN Applied Mathematics 1 Axioms 1 Journal of Algebra and Applied Mathematics
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#### Fields

 250 Number theory (11-XX) 32 Numerical analysis (65-XX) 22 Special functions (33-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 16 Combinatorics (05-XX) 6 Field theory and polynomials (12-XX) 5 Functions of a complex variable (30-XX) 5 Ordinary differential equations (34-XX) 5 Mechanics of deformable solids (74-XX) 4 Operator theory (47-XX) 3 Computer science (68-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Mathematical logic and foundations (03-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

117 Publications have been cited 471 times in 237 Documents Cited by Year
Some relations between twisted $$q$$-Euler numbers and Bernstein polynomials. Zbl 1266.11040
Ryoo, C. S.
2011
On the generalized Barnes type multiple $$q$$-Euler polynomials twisted by ramified roots of unity. Zbl 1246.11057
Ryoo, C. S.
2010
A note on the weighted $$q$$-Euler numbers and polynomials. Zbl 1276.11037
Ryoo, Cheon Seoung
2011
Some identities of the twisted $$q$$-Euler numbers and polynomials associated with $$q$$-Bernstein polynomials. Zbl 1255.11005
Ryoo, C. S.
2011
A numerical investigation of the roots of $$q$$-polynomials. Zbl 1090.65054
Ryoo, C. S.; Kim, T.; Agarwal, R. P.
2006
Numerical verification of solutions for variational inequalities. Zbl 0919.65043
Ryoo, Cheon Seoung; Nakao, Mitsuhiro T.
1998
Exploring the $$q$$-Riemann zeta function and $$q$$-Bernoulli polynomials. Zbl 1128.11009
Kim, T.; Ryoo, C. S.; Jang, L. C.; Rim, S. H.
2005
On degenerate $$q$$-tangent polynomials of higher order. Zbl 1371.11058
Ryoo, C. S.
2017
A note on the Frobenius-Euler polynomials. Zbl 1258.11045
Ryoo, C. S.
2011
Differential equations associated with tangent numbers. Zbl 1348.11020
Ryoo, C. S.
2016
A numerical investigation on the zeros of the tangent polynomials. Zbl 1301.11026
Ryoo, C. S.
2014
A note on the weigthed $$p$$-adic $$q$$-Euler measure on $$\mathbb Z_p$$. Zbl 1276.11032
Kim, T.; Choi, J.; Kim, Y. H.; Ryoo, C. S.
2011
On the twisted $$q$$-Euler zeta function associated with twisted $$q$$-Euler numbers. Zbl 1207.11115
Kim, Young-Hee; Kim, Wonjoo; Ryoo, Cheon Seoung
2009
A note on the zeros of the $$q$$-Bernoulli polynomials. Zbl 1288.11024
Ryoo, C. S.
2010
On the fermionic $$p$$-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials. Zbl 1239.11020
Kim, T.; Choi, J.; Kim, Y. H.; Ryoo, C. S.
2010
New integral inequalities for iterated integrals with applications. Zbl 1133.26304
Agarwal, Ravi P.; Ryoo, Cheon Seoung; Kim, Young-Ho
2007
Reflection symmetries of the $$q$$-Genocchi polynomials. Zbl 1278.11031
Ryoo, Cheon Seoung
2010
A note on $$q$$-Bernoulli numbers and polynomials. Zbl 1221.11053
Ryoo, Cheon Seoung
2007
Exploring the multiple Changhee $$q$$-Bernoulli polynomials. Zbl 1098.11017
Ryoo, C. S.; Kim, T.; Agarwal, R. P.
2005
On the roots of the $$q$$-analogue of Euler-Barnes’ polynomials. Zbl 1068.11013
Ryoo, C. S.; Song, H.; Agarwal, R. P.
2004
Note on $$q$$-extensions of Euler numbers and polynomials of higher order. Zbl 1195.11030
Kim, Taekyun; Jang, Lee-Chae; Ryoo, Cheon-Seoung
2008
Some relationships between the analogs of Euler numbers and polynomials. Zbl 1188.11006
Ryoo, C. S.; Kim, T.; Jang, Lee-Chae
2007
Numerical verification of solutions for a simplified Signorini problem. Zbl 0963.65075
Ryoo, C. S.
2000
Numerical verification of solutions for elasto-plastic torsion problems. Zbl 0979.74022
Nakao, M. T.; Lee, S. H.; Ryoo, Cheon Seoung
2000
On the $$(p,q)$$-analogue of Euler zeta function. Zbl 1371.11059
Ryoo, Cheon Seoung
2017
Calculating zeros of the twisted Genocchi polynomials. Zbl 1171.11012
Ryoo, C. S.
2008
A numerical investigation on the structure of the roots of $$q$$-Genocchi polynomials. Zbl 1230.11145
Ryoo, Cheon Seoung
2008
A numerical computation on the structure of the roots of $$q$$-extension of Genocchi polynomials. Zbl 1133.33309
Ryoo, C. S.
2008
Some identities involving $$q$$-poly-tangent numbers and polynomials and distribution of their zeros. Zbl 1422.11054
Ryoo, C. S.; Agarwal, R. P.
2017
A note on the $$q$$-Euler numbers and polynomials with weak weight $$\alpha$$. Zbl 1256.11019
Lee, H. Y.; Jung, N. S.; Ryoo, C. S.
2011
On $$q$$-Bernstein and $$q$$-Hermite polynomials. Zbl 1256.05024
Kim, T.; Choi, J.; Kim, Y. H.; Ryoo, C. S.
2011
Numerical verification of solutions for Signorini problems using Newton-like method. Zbl 1159.76006
Ryoo, Cheon Seoung
2008
An analogue of the zeta function and its applications. Zbl 1112.11013
Ryoo, Cheon Seoung; Kim, Taekyun
2006
Sheffer sequences for the powers of Sheffer pairs under umbral composition. Zbl 1301.05032
Kim, D. S.; Kim, T.; Ryoo, C. S.
2013
On the generalized Euler polynomials of the second kind. Zbl 1283.11042
Kim, Y. H.; Jung, H. Y.; Ryoo, C. S.
2013
Some relations between twisted $$(h, q)$$-Euler numbers with weight $$a$$ and $$q$$-Bernstein polynomials with weight $$a$$. Zbl 1272.11131
Jung, N. S.; Lee, H. Y.; Ryoo, C. S.
2011
A new identities on the $$q$$-Bernoulli numbers and polynomials. Zbl 1266.11041
Ryoo, C. S.; Kim, T.
2011
Estimating the domain of attraction via moment matrices. Zbl 1191.34070
Li, Chunji; Ryoo, Cheon Seoung; Li, Ning; Cao, Lili
2009
A numerical computation of the structure of the roots of $$q$$-Bernoulli polynomials. Zbl 1135.65313
Ryoo, C. S.; Kim, Taekyun
2008
Numerical inclusion methods of solutions for variational inequalities. Zbl 1023.65059
Ryoo, C. S.; Agarwal, R. P.
2002
A research on the generalized poly-Bernoulli polynomials with variable $$a$$. Zbl 1442.11041
Jung, N. S.; Ryoo, C. S.
2018
Symmetric identities for degenerate $$q$$-poly-Bernoulli numbers and polynomials. Zbl 1390.11048
Jung, N. S.; Ryoo, C. S.
2018
A research on a new approach to Euler polynomials and Bernstein polynomials with variable $$[x]_q$$. Zbl 1372.65144
Jung, Nam Soon; Ryoo, Cheon Seoung
2017
A research on the new polynomials involved with the central factorial numbers, Stirling numbers and others polynomials. Zbl 1361.11015
Kang, Jung Yoog; Ryoo, Cheon Seoung
2014
An approach to the numerical verification of solutions for variational inequalities using Schauder fixed point theory. Zbl 1303.65032
Ryoo, Cheon
2014
$$q$$-Bernoulli numbers and $$q$$-Bernoulli polynomials revisited. Zbl 1278.11032
Ryoo, Cheon Seoung; Kim, Taekyun; Lee, Byungje
2011
Calculating zeros of the second kind Euler polynomials. Zbl 1206.11028
Ryoo, C. S.
2010
A note on Euler numbers and polynomials. Zbl 1234.11025
Ryoo, C. S.; Yoo, Young Sil
2009
A note on generalized twisted $$q$$-Euler numbers and polynomials. Zbl 1175.11008
Ryoo, C. S.; Seo, J. J.; Kim, T.
2008
Numerical verification of solutions for generalized obstacle problems. Zbl 1084.65067
Ryoo, C. S.; Agarwal, R. P.
2003
Numerical verifications of solutions for obstacle problems. Zbl 1001.65069
Agarwal, R. P.; Ryoo, C. S.
2001
Some identities for Euler and Bernoulli polynomials and their zeros. Zbl 1432.11021
Kim, Taekyun; Ryoo, Cheon Seoung
2018
Differential equations associated with twisted $$(h,q)$$-tangent polynomials. Zbl 1391.11040
Ryoo, Cheon Seoung
2018
Indentities of symmetry for generalized Carlitz’s $$q$$-tangent polynomials associated with $$p$$-adic integral on $$\mathbb{Z}_p$$. Zbl 1390.11050
Ryoo, Cheon Seoung
2018
Some explicit identities for the modified higher-order degenerate $$q$$-Euler polynomials and their zeroes. Zbl 1412.11037
Jang, L. C.; Kim, B. M.; Choi, S. K.; Ryoo, C. S.; Dolgy, D. V.
2017
On Carlitz’s type $$q$$-tangent numbers and polynomials and computation of their zeros. Zbl 1402.11036
Hwang, Kyung-Won; Ryoo, Cheon Seoung
2017
A research on the some properties and distribution of zeros for Stirling polynomials. Zbl 1364.11060
Kang, Jung Yoog; Ryoo, Cheon Seoung
2016
Analytic continuation of Euler polynomials and the Euler zeta function. Zbl 1419.11043
Ryoo, C. S.
2014
Fourier series of the periodic Bernoulli and Euler functions. Zbl 07023204
Ryoo, Cheon Seoung; Kwon, Hyuck In; Yoon, Jihee; Jang, Yu Seon
2014
An identity of the symmetry for the second kind $$q$$-Euler polynomials. Zbl 1287.11039
Ryoo, C. S.
2013
Some identities on the weighted $$q$$-Euler numbers and $$q$$-Bernstein polynomials. Zbl 1283.11041
Kim, Taekyun; Kim, Young-Hee; Ryoo, Cheon S.
2011
Some identities of the twisted $$q$$-Genocchi numbers and polynomials with weight $$\alpha$$ and $$q$$-Bernstein polynomials with weight $$\alpha$$. Zbl 1232.11029
Lee, H. Y.; Jung, N. S.; Ryoo, C. S.
2011
On the $$q$$-analogue of Euler measure with weight $$\alpha$$. Zbl 1277.11016
Dolgy, D. V.; Kim, T.; Lee, B.; Ryoo, C. S.
2011
Distribution of the roots of the second kind Bernoulli polynomials. Zbl 1258.11044
Ryoo, C. S.
2011
On the generalized $$q$$-Genocchi numbers and polynomials of higher-order. Zbl 1238.11018
Ryoo, C. S.; Kim, T.; Choi, J.; Lee, B.
2011
On the Barnes’ type multiple Euler polynomials. Zbl 1252.11023
Ryoo, C. S.
2010
A numerical computation of the roots of $$q$$-Euler polynomials. Zbl 1201.11027
Ryoo, C. S.
2010
A numerical investigation on the structure of the roots of the twisted $$q$$-Euler polynomials. Zbl 1179.65050
Ryoo, C. S.; Kim, Y. H.
2009
A note on the multiple twisted Carlitz’s type $$q$$-Bernoulli polynomials. Zbl 1195.11029
Jang, Lee-Chae; Ryoo, Cheon-Seoung
2008
Numerical computations of the roots of the generalized twisted $$q$$-Bernoulli polynomials. Zbl 1151.65040
Agarwal, R. P.; Ryoo, C. S.
2007
An approach to the numerical verification of solutions for obstacle problems. Zbl 1133.49013
Ryoo, Cheon Seoung
2007
A note on generalized Euler numbers and polynomials. Zbl 1132.11010
Ryoo, C. S.; Kim, T.; Jang, L. C.
2007
On the alternating sums of powers of consecutive $$q$$-integers. Zbl 1110.11006
Rim, Seog-Hoon; Kim, Taekyun; Ryoo, Cheon Seoung
2006
Numerical verification of solutions for obstacle problems. Zbl 1041.65056
Ryoo, Cheon Seoung; Nakao, Mitsuhiro T.
2003
Numerical verification of solutions for some unilateral boundary value problems. Zbl 1035.65064
Ryoo, Cheon Seoung; Song, Howan; Kim, Sang Dong
2002
A computational verification method of solution with uniqueness for obstacle problems. Zbl 0918.65051
Ryoo, Cheon Seoung
1998
Some remarks on the structure of $$k^*$$-paranormal operators. Zbl 0841.47013
Lee, Mi Young; Lee, Sang Hun; Ryoo, Cheon Seoung
1995
Some identities for $$(p, q)$$-Hurwitz zeta function. Zbl 1438.11053
Ryoo, Cheon Seoung
2019
Differential equations associated with Mahler and Sheffer-Mahler polynomials. Zbl 1440.11027
Kim, Taekyun; Kim, Dae San; Kwon, Hyuck-In; Ryoo, Cheon Seoung
2019
On degenerate Carlitz-type $$(h, q)$$-tangent numbers and polynomials. Zbl 1405.11024
Ryoo, C. S.
2018
A numerical investigation on the structure of the root of the $$(p,q)$$-analogue of Bernoulli polynomials. Zbl 1402.11040
Ryoo, C. S.
2017
Some properties of the twisted Changhee polynomials and their zeros. Zbl 1410.11017
Jang, Lee-Chae; Ryoo, C. S.; Seo, J. J.; Kwon, Hyuck In
2016
Estimating the domain of attraction of tumor-immune system based on moment method. Zbl 1361.92035
Li, Chunji; Wang, Wei; Ryoo, Cheon Seoung
2016
Representation of higher-order Euler numbers using the solution of Bernoulli equation. Zbl 1361.34003
Ryoo, Cheon Seoung; Kwon, Hyuck In; Yoon, Jihee; Jang, Yu Seon
2015
Dynamics of the zeros of analytic continued $$(h, q)$$-Euler polynomials. Zbl 07022576
Ryoo, C. S.
2014
On the $$\lambda$$-Genocchi polynomials and numbers of second kind. Zbl 1308.11024
Kwon, J. H.; Lee, H. Y.; Ryoo, C. S.
2014
A note on recurrence formula for values of the Euler zeta functions $$\zeta_E(2n)$$ at positive integers. Zbl 1354.11019
Lee, Hui Young; Ryoo, Cheon Seoung
2014
On Carlitz’s type $$q$$-tangent numbers associated with the fermionic $$p$$-adic integral on $$\mathbb Z_p$$. Zbl 1288.11025
Ryoo, C. S.
2013
An identity of the $$(h,q)$$-Euler polynomials associated with the $$p$$-adic $$q$$-integrals on $$\mathbb Z_p$$. Zbl 1284.11042
Ryoo, C. S.
2013
Calculating zeros of the second kind $$(h,q)$$-Bernoulli polynomials. Zbl 1286.11024
Ryoo, C. S.
2012
Some identities on the higher-order-twisted $$q$$-Euler numbers and polynomials with weight $$\alpha$$. Zbl 1277.11021
Lee, Hui Young; Jung, Nam Soon; Kang, Jung Yoog; Ryoo, Cheon Seoung
2012
Zeros of the second kind $$(h, q)$$-Bernoulli polynomials. Zbl 1276.11036
Ryoo, C. S.
2012
A note on $$q$$-Bernoulli numbers and $$q$$-Bernstein polynomials. Zbl 1259.11031
Kim, Taekyun; Ryoo, Cheon Seoung; Yi, Heungsu
2012
On the structure of the zeroes of $$(h,q)$$-Genocchi polynomials. Zbl 1248.11020
Ryoo, C. S.
2012
Structure of the roots of $$(h,q)$$-Euler polynomials. Zbl 1263.11035
Ryoo, C. S.
2012
A note on the $$q$$-Genocchi numbers and polynomials with weak weight $$\alpha$$. Zbl 1278.11030
Ryoo, C. S.; Kang, J. Y.
2012
On the values of the weighted $$q$$-zeta and $$L$$-functions. Zbl 1248.11095
Kim, T.; Lee, S. H.; Han, Hyeon-Ho; Ryoo, C. S.
2011
A numerical investigation of the roots of the second kind $$\lambda$$-Bernoulli polynomials. Zbl 1242.65093
Lee, H. Y.; Jung, N. S.; Ryoo, C. S.
2011
Analogue of Lebesgue-Radon-Nikodym theorem with respect to $$p$$-adic $$q$$-measure on $$\mathbb Z_p$$. Zbl 1262.11101
Kim, T.; Dolgy, D. V.; Lee, S. H.; Ryoo, C. S.
2011
A note on the second kind Genocchi polynomials. Zbl 1246.11056
Ryoo, C. S.
2011
Some identities for $$(p, q)$$-Hurwitz zeta function. Zbl 1438.11053
Ryoo, Cheon Seoung
2019
Differential equations associated with Mahler and Sheffer-Mahler polynomials. Zbl 1440.11027
Kim, Taekyun; Kim, Dae San; Kwon, Hyuck-In; Ryoo, Cheon Seoung
2019
A research on the generalized poly-Bernoulli polynomials with variable $$a$$. Zbl 1442.11041
Jung, N. S.; Ryoo, C. S.
2018
Symmetric identities for degenerate $$q$$-poly-Bernoulli numbers and polynomials. Zbl 1390.11048
Jung, N. S.; Ryoo, C. S.
2018
Some identities for Euler and Bernoulli polynomials and their zeros. Zbl 1432.11021
Kim, Taekyun; Ryoo, Cheon Seoung
2018
Differential equations associated with twisted $$(h,q)$$-tangent polynomials. Zbl 1391.11040
Ryoo, Cheon Seoung
2018
Indentities of symmetry for generalized Carlitz’s $$q$$-tangent polynomials associated with $$p$$-adic integral on $$\mathbb{Z}_p$$. Zbl 1390.11050
Ryoo, Cheon Seoung
2018
On degenerate Carlitz-type $$(h, q)$$-tangent numbers and polynomials. Zbl 1405.11024
Ryoo, C. S.
2018
On degenerate $$q$$-tangent polynomials of higher order. Zbl 1371.11058
Ryoo, C. S.
2017
On the $$(p,q)$$-analogue of Euler zeta function. Zbl 1371.11059
Ryoo, Cheon Seoung
2017
Some identities involving $$q$$-poly-tangent numbers and polynomials and distribution of their zeros. Zbl 1422.11054
Ryoo, C. S.; Agarwal, R. P.
2017
A research on a new approach to Euler polynomials and Bernstein polynomials with variable $$[x]_q$$. Zbl 1372.65144
Jung, Nam Soon; Ryoo, Cheon Seoung
2017
Some explicit identities for the modified higher-order degenerate $$q$$-Euler polynomials and their zeroes. Zbl 1412.11037
Jang, L. C.; Kim, B. M.; Choi, S. K.; Ryoo, C. S.; Dolgy, D. V.
2017
On Carlitz’s type $$q$$-tangent numbers and polynomials and computation of their zeros. Zbl 1402.11036
Hwang, Kyung-Won; Ryoo, Cheon Seoung
2017
A numerical investigation on the structure of the root of the $$(p,q)$$-analogue of Bernoulli polynomials. Zbl 1402.11040
Ryoo, C. S.
2017
Differential equations associated with tangent numbers. Zbl 1348.11020
Ryoo, C. S.
2016
A research on the some properties and distribution of zeros for Stirling polynomials. Zbl 1364.11060
Kang, Jung Yoog; Ryoo, Cheon Seoung
2016
Some properties of the twisted Changhee polynomials and their zeros. Zbl 1410.11017
Jang, Lee-Chae; Ryoo, C. S.; Seo, J. J.; Kwon, Hyuck In
2016
Estimating the domain of attraction of tumor-immune system based on moment method. Zbl 1361.92035
Li, Chunji; Wang, Wei; Ryoo, Cheon Seoung
2016
Representation of higher-order Euler numbers using the solution of Bernoulli equation. Zbl 1361.34003
Ryoo, Cheon Seoung; Kwon, Hyuck In; Yoon, Jihee; Jang, Yu Seon
2015
A numerical investigation on the zeros of the tangent polynomials. Zbl 1301.11026
Ryoo, C. S.
2014
A research on the new polynomials involved with the central factorial numbers, Stirling numbers and others polynomials. Zbl 1361.11015
Kang, Jung Yoog; Ryoo, Cheon Seoung
2014
An approach to the numerical verification of solutions for variational inequalities using Schauder fixed point theory. Zbl 1303.65032
Ryoo, Cheon
2014
Analytic continuation of Euler polynomials and the Euler zeta function. Zbl 1419.11043
Ryoo, C. S.
2014
Fourier series of the periodic Bernoulli and Euler functions. Zbl 07023204
Ryoo, Cheon Seoung; Kwon, Hyuck In; Yoon, Jihee; Jang, Yu Seon
2014
Dynamics of the zeros of analytic continued $$(h, q)$$-Euler polynomials. Zbl 07022576
Ryoo, C. S.
2014
On the $$\lambda$$-Genocchi polynomials and numbers of second kind. Zbl 1308.11024
Kwon, J. H.; Lee, H. Y.; Ryoo, C. S.
2014
A note on recurrence formula for values of the Euler zeta functions $$\zeta_E(2n)$$ at positive integers. Zbl 1354.11019
Lee, Hui Young; Ryoo, Cheon Seoung
2014
Sheffer sequences for the powers of Sheffer pairs under umbral composition. Zbl 1301.05032
Kim, D. S.; Kim, T.; Ryoo, C. S.
2013
On the generalized Euler polynomials of the second kind. Zbl 1283.11042
Kim, Y. H.; Jung, H. Y.; Ryoo, C. S.
2013
An identity of the symmetry for the second kind $$q$$-Euler polynomials. Zbl 1287.11039
Ryoo, C. S.
2013
On Carlitz’s type $$q$$-tangent numbers associated with the fermionic $$p$$-adic integral on $$\mathbb Z_p$$. Zbl 1288.11025
Ryoo, C. S.
2013
An identity of the $$(h,q)$$-Euler polynomials associated with the $$p$$-adic $$q$$-integrals on $$\mathbb Z_p$$. Zbl 1284.11042
Ryoo, C. S.
2013
Calculating zeros of the second kind $$(h,q)$$-Bernoulli polynomials. Zbl 1286.11024
Ryoo, C. S.
2012
Some identities on the higher-order-twisted $$q$$-Euler numbers and polynomials with weight $$\alpha$$. Zbl 1277.11021
Lee, Hui Young; Jung, Nam Soon; Kang, Jung Yoog; Ryoo, Cheon Seoung
2012
Zeros of the second kind $$(h, q)$$-Bernoulli polynomials. Zbl 1276.11036
Ryoo, C. S.
2012
A note on $$q$$-Bernoulli numbers and $$q$$-Bernstein polynomials. Zbl 1259.11031
Kim, Taekyun; Ryoo, Cheon Seoung; Yi, Heungsu
2012
On the structure of the zeroes of $$(h,q)$$-Genocchi polynomials. Zbl 1248.11020
Ryoo, C. S.
2012
Structure of the roots of $$(h,q)$$-Euler polynomials. Zbl 1263.11035
Ryoo, C. S.
2012
A note on the $$q$$-Genocchi numbers and polynomials with weak weight $$\alpha$$. Zbl 1278.11030
Ryoo, C. S.; Kang, J. Y.
2012
Some relations between twisted $$q$$-Euler numbers and Bernstein polynomials. Zbl 1266.11040
Ryoo, C. S.
2011
A note on the weighted $$q$$-Euler numbers and polynomials. Zbl 1276.11037
Ryoo, Cheon Seoung
2011
Some identities of the twisted $$q$$-Euler numbers and polynomials associated with $$q$$-Bernstein polynomials. Zbl 1255.11005
Ryoo, C. S.
2011
A note on the Frobenius-Euler polynomials. Zbl 1258.11045
Ryoo, C. S.
2011
A note on the weigthed $$p$$-adic $$q$$-Euler measure on $$\mathbb Z_p$$. Zbl 1276.11032
Kim, T.; Choi, J.; Kim, Y. H.; Ryoo, C. S.
2011
A note on the $$q$$-Euler numbers and polynomials with weak weight $$\alpha$$. Zbl 1256.11019
Lee, H. Y.; Jung, N. S.; Ryoo, C. S.
2011
On $$q$$-Bernstein and $$q$$-Hermite polynomials. Zbl 1256.05024
Kim, T.; Choi, J.; Kim, Y. H.; Ryoo, C. S.
2011
Some relations between twisted $$(h, q)$$-Euler numbers with weight $$a$$ and $$q$$-Bernstein polynomials with weight $$a$$. Zbl 1272.11131
Jung, N. S.; Lee, H. Y.; Ryoo, C. S.
2011
A new identities on the $$q$$-Bernoulli numbers and polynomials. Zbl 1266.11041
Ryoo, C. S.; Kim, T.
2011
$$q$$-Bernoulli numbers and $$q$$-Bernoulli polynomials revisited. Zbl 1278.11032
Ryoo, Cheon Seoung; Kim, Taekyun; Lee, Byungje
2011
Some identities on the weighted $$q$$-Euler numbers and $$q$$-Bernstein polynomials. Zbl 1283.11041
Kim, Taekyun; Kim, Young-Hee; Ryoo, Cheon S.
2011
Some identities of the twisted $$q$$-Genocchi numbers and polynomials with weight $$\alpha$$ and $$q$$-Bernstein polynomials with weight $$\alpha$$. Zbl 1232.11029
Lee, H. Y.; Jung, N. S.; Ryoo, C. S.
2011
On the $$q$$-analogue of Euler measure with weight $$\alpha$$. Zbl 1277.11016
Dolgy, D. V.; Kim, T.; Lee, B.; Ryoo, C. S.
2011
Distribution of the roots of the second kind Bernoulli polynomials. Zbl 1258.11044
Ryoo, C. S.
2011
On the generalized $$q$$-Genocchi numbers and polynomials of higher-order. Zbl 1238.11018
Ryoo, C. S.; Kim, T.; Choi, J.; Lee, B.
2011
On the values of the weighted $$q$$-zeta and $$L$$-functions. Zbl 1248.11095
Kim, T.; Lee, S. H.; Han, Hyeon-Ho; Ryoo, C. S.
2011
A numerical investigation of the roots of the second kind $$\lambda$$-Bernoulli polynomials. Zbl 1242.65093
Lee, H. Y.; Jung, N. S.; Ryoo, C. S.
2011
Analogue of Lebesgue-Radon-Nikodym theorem with respect to $$p$$-adic $$q$$-measure on $$\mathbb Z_p$$. Zbl 1262.11101
Kim, T.; Dolgy, D. V.; Lee, S. H.; Ryoo, C. S.
2011
A note on the second kind Genocchi polynomials. Zbl 1246.11056
Ryoo, C. S.
2011
On the generalized Barnes type multiple $$q$$-Euler polynomials twisted by ramified roots of unity. Zbl 1246.11057
Ryoo, C. S.
2010
A note on the zeros of the $$q$$-Bernoulli polynomials. Zbl 1288.11024
Ryoo, C. S.
2010
On the fermionic $$p$$-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials. Zbl 1239.11020
Kim, T.; Choi, J.; Kim, Y. H.; Ryoo, C. S.
2010
Reflection symmetries of the $$q$$-Genocchi polynomials. Zbl 1278.11031
Ryoo, Cheon Seoung
2010
Calculating zeros of the second kind Euler polynomials. Zbl 1206.11028
Ryoo, C. S.
2010
On the Barnes’ type multiple Euler polynomials. Zbl 1252.11023
Ryoo, C. S.
2010
A numerical computation of the roots of $$q$$-Euler polynomials. Zbl 1201.11027
Ryoo, C. S.
2010
Some identities of Bernoulli numbers and polynomials associated with Bernstein polynomials. Zbl 1221.11059
Kim, Min-Soo; Kim, Taekyun; Lee, Byungje; Ryoo, Cheon-Seoung
2010
Some identities on the generalized $$q$$-Bernoulli numbers and polynomials associated with $$q$$-Volkenborn integrals. Zbl 1222.11033
Kim, T.; Choi, J.; Lee, B.; Ryoo, C. S.
2010
On Carlitz’s type $$q$$-Euler numbers associated with the fermionic $$P$$-adic integral on $$\mathbb Z_p$$. Zbl 1222.11032
Kim, Min-Soo; Kim, Taekyun; Ryoo, Cheon-Seoung
2010
A note on the $$(h,q)$$-extension of Bernoulli numbers and Bernoulli polynomials. Zbl 1209.11030
Ryoo, C. S.; Kim, T.
2010
A note on the $$(h,q)$$-Bernoulli polynomials. Zbl 1213.11052
Ryoo, C. S.
2010
A numerical approach to the proof of existence of solutions for some generalized obstacle problems. Zbl 1191.65079
Ryoo, Cheon Seoung
2010
On the twisted $$q$$-Euler zeta function associated with twisted $$q$$-Euler numbers. Zbl 1207.11115
Kim, Young-Hee; Kim, Wonjoo; Ryoo, Cheon Seoung
2009
Estimating the domain of attraction via moment matrices. Zbl 1191.34070
Li, Chunji; Ryoo, Cheon Seoung; Li, Ning; Cao, Lili
2009
A note on Euler numbers and polynomials. Zbl 1234.11025
Ryoo, C. S.; Yoo, Young Sil
2009
A numerical investigation on the structure of the roots of the twisted $$q$$-Euler polynomials. Zbl 1179.65050
Ryoo, C. S.; Kim, Y. H.
2009
Note on $$q$$-extensions of Euler numbers and polynomials of higher order. Zbl 1195.11030
Kim, Taekyun; Jang, Lee-Chae; Ryoo, Cheon-Seoung
2008
Calculating zeros of the twisted Genocchi polynomials. Zbl 1171.11012
Ryoo, C. S.
2008
A numerical investigation on the structure of the roots of $$q$$-Genocchi polynomials. Zbl 1230.11145
Ryoo, Cheon Seoung
2008
A numerical computation on the structure of the roots of $$q$$-extension of Genocchi polynomials. Zbl 1133.33309
Ryoo, C. S.
2008
Numerical verification of solutions for Signorini problems using Newton-like method. Zbl 1159.76006
Ryoo, Cheon Seoung
2008
A numerical computation of the structure of the roots of $$q$$-Bernoulli polynomials. Zbl 1135.65313
Ryoo, C. S.; Kim, Taekyun
2008
A note on generalized twisted $$q$$-Euler numbers and polynomials. Zbl 1175.11008
Ryoo, C. S.; Seo, J. J.; Kim, T.
2008
A note on the multiple twisted Carlitz’s type $$q$$-Bernoulli polynomials. Zbl 1195.11029
Jang, Lee-Chae; Ryoo, Cheon-Seoung
2008
Calculating zeros of the twisted Euler polynomials. Zbl 1196.11037
Agarwal, R. P.; Kim, Young-Ho; Ryoo, C. S.
2008
$$p$$-adic $$q$$-integrals and basic $$q$$-zeta function. Zbl 1145.11079
Kim, Taekyun; Ryoo, Cheon Seoung
2008
New integral inequalities for iterated integrals with applications. Zbl 1133.26304
Agarwal, Ravi P.; Ryoo, Cheon Seoung; Kim, Young-Ho
2007
A note on $$q$$-Bernoulli numbers and polynomials. Zbl 1221.11053
Ryoo, Cheon Seoung
2007
Some relationships between the analogs of Euler numbers and polynomials. Zbl 1188.11006
Ryoo, C. S.; Kim, T.; Jang, Lee-Chae
2007
Numerical computations of the roots of the generalized twisted $$q$$-Bernoulli polynomials. Zbl 1151.65040
Agarwal, R. P.; Ryoo, C. S.
2007
An approach to the numerical verification of solutions for obstacle problems. Zbl 1133.49013
Ryoo, Cheon Seoung
2007
A note on generalized Euler numbers and polynomials. Zbl 1132.11010
Ryoo, C. S.; Kim, T.; Jang, L. C.
2007
A numerical investigation of the roots of $$q$$-polynomials. Zbl 1090.65054
Ryoo, C. S.; Kim, T.; Agarwal, R. P.
2006
An analogue of the zeta function and its applications. Zbl 1112.11013
Ryoo, Cheon Seoung; Kim, Taekyun
2006
On the alternating sums of powers of consecutive $$q$$-integers. Zbl 1110.11006
Rim, Seog-Hoon; Kim, Taekyun; Ryoo, Cheon Seoung
2006
The zeros of the generalized twisted Bernoulli polynomials. Zbl 1133.11014
Ryoo, C. S.
2006
A numerical investigation on the zeros of the Genocchi polynomials. Zbl 1120.11012
Ryoo, C. S.
2006
A numerical investigation on the structure of the roots of the twisted $$q$$-Bernoulli polynomials. Zbl 1102.65027
Agarwal, R. P.; Ryoo, C. S.
2006
Exploring the $$q$$-Riemann zeta function and $$q$$-Bernoulli polynomials. Zbl 1128.11009
Kim, T.; Ryoo, C. S.; Jang, L. C.; Rim, S. H.
2005
Exploring the multiple Changhee $$q$$-Bernoulli polynomials. Zbl 1098.11017
Ryoo, C. S.; Kim, T.; Agarwal, R. P.
2005
...and 17 more Documents
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#### Cited by 163 Authors

 73 Kim, Taekyun 60 Ryoo, Cheon Seoung 41 Kim, Dae San 24 Rim, Seog-Hoon 15 Jung, Nam Soon 12 Araci, Serkan 12 Kang, Jung-Yoog 12 Lee, Hui Young 12 Lee, Sang Hun 11 Simsek, Yilmaz 10 Acikgoz, Mehmet 9 Dolgiĭ, Dmitriĭ Viktorovich 9 Jang, Lee-Chae 9 Kim, Young Hee Yun 7 Hwang, Kyung-Won 7 Kim, Minsoo 6 Cangul, Ismail Naci 5 Choi, Jongsung 5 Lee, Byungje 5 Nakao, Mitsuhiro T. 4 Dolgy, Dmitry Victorovich 4 Jang, Leechae 4 Kim, Daeyeoul 4 Kwon, JongKyum 4 Wang, Wusheng 3 Agarwal, Ravi P. 3 Jeong, Joohee 3 Khan, Subuhi 3 Khan, Waseem Ahmad 3 Kim, An-Hyun 3 Kim, Wonjoo 3 Kim, Yung-Hwan 3 Komatsu, Takao 3 Kwon, Hyuck In 3 Li, Chunji 3 Li, Xiaolin 3 Lim, Dongkyu 3 Ozden, Hacer 3 Yao, Han 3 Zhang, Shougui 2 Abdeldaim, A. 2 Do, Younghae 2 Duran, Ugur 2 Eldeeb, Ahmed Abdel-Moneim 2 Jang, Gwan-Woo 2 Jolany, Hassan 2 Kang, Jiyang 2 Kurt, Burak 2 Kurt, Veli 2 Lee, Sunjung 2 Mahmudov, Nazim Idrisoglu 2 Nahid, Tabinda 2 Park, Kyoung Ho 2 Riyasat, Mumtaz 2 Son, Jin-Woo 2 Srivastava, Hari Mohan 1 Ağyüz, Erkan 1 Alefeld, Götz E. 1 Alnashri, Yahya Ahmad 1 An, Chae Kyeong 1 Anderson, P. J. 1 Andjić, Miomir 1 Atlan, Faiz 1 Aydi, Hassen 1 Bayad, Abdelmejid 1 Benkart, Georgia M. 1 Bozer, Mehmet 1 Cao, Jinde 1 Çetin, Elif 1 Chen, Mei 1 Chen, Xiangyong 1 Chen, Xiaojun 1 Choi, Junesang 1 Choi, Junyong 1 Costabile, Francesco Aldo 1 Droniou, Jérôme 1 El-Mikkawy, Moawwad E. A. 1 Erdal, Dilek 1 Ernst, Thomas 1 Felhi, Abdelbasset 1 Ferreira, Rui A. C. 1 Fošner, Ajda 1 Gualtieri, Maria Italia 1 Han, Weimin 1 Haroon, Hiba 1 He, Yuan 1 Huang, Deqing 1 Huang, Yong 1 Jang, Lie-Ching 1 Jin, Jeong-Hee 1 Jørgensen, Palle E. T. 1 Kang, Jiayin 1 Keleshteri, M. M. 1 Khan, Idrees A. 1 Kilar, Neslihan 1 Kim, Byung Yong 1 Kim, Byungmoon 1 Kim, Dojin 1 Kim, Harrison M. 1 Kim, Sangdong ...and 63 more Authors
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#### Cited in 55 Serials

 40 Advances in Difference Equations 25 Journal of Applied Mathematics & Informatics 22 Abstract and Applied Analysis 14 Journal of Inequalities and Applications 12 Discrete Dynamics in Nature and Society 11 Computers & Mathematics with Applications 10 International Journal of Mathematics and Mathematical Sciences 9 Applied Mathematics Letters 8 Journal of Applied Mathematics 7 Applied Mathematics and Computation 6 Russian Journal of Mathematical Physics 5 Symmetry 4 Journal of Applied Mathematics and Computing 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Journal of Number Theory 3 Journal of Nonlinear Science and Applications 2 Journal of Computational and Applied Mathematics 2 Journal of Optimization Theory and Applications 2 Mathematical and Computer Modelling 2 International Journal of Computer Mathematics 2 Journal of the Egyptian Mathematical Society 2 Integral Transforms and Special Functions 2 Honam Mathematical Journal 2 Journal of Nonlinear Mathematical Physics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Fixed Point Theory and Applications 2 Boundary Value Problems 2 ISRN Applied Mathematics 2 Axioms 2 Mathematics 2 Open Mathematics 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Acta Mathematica 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Demonstratio Mathematica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Sugaku Expositions 1 Aequationes Mathematicae 1 Indagationes Mathematicae. New Series 1 Georgian Mathematical Journal 1 Nonlinear Dynamics 1 Annals of Combinatorics 1 Communications of the Korean Mathematical Society 1 Integers 1 Iranian Journal of Science and Technology. Transaction A: Science 1 JP Journal of Algebra, Number Theory and Applications 1 Journal of Function Spaces and Applications 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Science China. Mathematics 1 TWMS Journal of Pure and Applied Mathematics 1 Mathematical Sciences 1 Cogent Mathematics
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#### Cited in 32 Fields

 181 Number theory (11-XX) 53 Combinatorics (05-XX) 44 Special functions (33-XX) 25 Numerical analysis (65-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 8 Real functions (26-XX) 7 Ordinary differential equations (34-XX) 6 Operator theory (47-XX) 5 Functions of a complex variable (30-XX) 5 Partial differential equations (35-XX) 4 Computer science (68-XX) 4 Mechanics of deformable solids (74-XX) 3 Difference and functional equations (39-XX) 3 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 Field theory and polynomials (12-XX) 2 Group theory and generalizations (20-XX) 2 Functional analysis (46-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)