Edit Profile Ryoo, Cheon Seoung Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1266.11040Ryoo, C. S. 23 2011 On the generalized Barnes type multiple \(q\)-Euler polynomials twisted by ramified roots of unity. Zbl 1246.11057Ryoo, C. S. 21 2010 A note on the weighted \(q\)-Euler numbers and polynomials. Zbl 1276.11037Ryoo, Cheon Seoung 19 2011 Some identities of the twisted \(q\)-Euler numbers and polynomials associated with \(q\)-Bernstein polynomials. Zbl 1255.11005Ryoo, C. S. 15 2011 A numerical investigation of the roots of \(q\)-polynomials. Zbl 1090.65054Ryoo, C. S.; Kim, T.; Agarwal, R. P. 15 2006 Numerical verification of solutions for variational inequalities. Zbl 0919.65043Ryoo, Cheon Seoung; Nakao, Mitsuhiro T. 15 1998 Exploring the \(q\)-Riemann zeta function and \(q\)-Bernoulli polynomials. Zbl 1128.11009Kim, T.; Ryoo, C. S.; Jang, L. C.; Rim, S. H. 12 2005 On degenerate \(q\)-tangent polynomials of higher order. Zbl 1371.11058Ryoo, C. S. 11 2017 A note on the Frobenius-Euler polynomials. Zbl 1258.11045Ryoo, C. S. 11 2011 Differential equations associated with tangent numbers. Zbl 1348.11020Ryoo, C. S. 10 2016 A numerical investigation on the zeros of the tangent polynomials. Zbl 1301.11026Ryoo, C. S. 10 2014 A note on the weigthed \(p\)-adic \(q\)-Euler measure on \(\mathbb Z_p\). Zbl 1276.11032Kim, T.; Choi, J.; Kim, Y. H.; Ryoo, C. S. 10 2011 On the twisted \(q\)-Euler zeta function associated with twisted \(q\)-Euler numbers. Zbl 1207.11115Kim, Young-Hee; Kim, Wonjoo; Ryoo, Cheon Seoung 10 2009 A note on the zeros of the \(q\)-Bernoulli polynomials. Zbl 1288.11024Ryoo, C. S. 9 2010 On the fermionic \(p\)-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials. Zbl 1239.11020Kim, T.; Choi, J.; Kim, Y. H.; Ryoo, C. S. 9 2010 New integral inequalities for iterated integrals with applications. Zbl 1133.26304Agarwal, Ravi P.; Ryoo, Cheon Seoung; Kim, Young-Ho 9 2007 Reflection symmetries of the \(q\)-Genocchi polynomials. Zbl 1278.11031Ryoo, Cheon Seoung 8 2010 A note on \(q\)-Bernoulli numbers and polynomials. Zbl 1221.11053Ryoo, Cheon Seoung 8 2007 Exploring the multiple Changhee \(q\)-Bernoulli polynomials. Zbl 1098.11017Ryoo, C. S.; Kim, T.; Agarwal, R. P. 8 2005 On the roots of the \(q\)-analogue of Euler-Barnes’ polynomials. Zbl 1068.11013Ryoo, C. S.; Song, H.; Agarwal, R. P. 8 2004 Note on \(q\)-extensions of Euler numbers and polynomials of higher order. Zbl 1195.11030Kim, Taekyun; Jang, Lee-Chae; Ryoo, Cheon-Seoung 7 2008 Some relationships between the analogs of Euler numbers and polynomials. Zbl 1188.11006Ryoo, C. S.; Kim, T.; Jang, Lee-Chae 7 2007 Numerical verification of solutions for a simplified Signorini problem. Zbl 0963.65075Ryoo, C. S. 7 2000 Numerical verification of solutions for elasto-plastic torsion problems. Zbl 0979.74022Nakao, M. T.; Lee, S. H.; Ryoo, Cheon Seoung 7 2000 On the \((p,q)\)-analogue of Euler zeta function. Zbl 1371.11059Ryoo, Cheon Seoung 6 2017 Calculating zeros of the twisted Genocchi polynomials. Zbl 1171.11012Ryoo, C. S. 6 2008 A numerical investigation on the structure of the roots of \(q\)-Genocchi polynomials. Zbl 1230.11145Ryoo, Cheon Seoung 6 2008 A numerical computation on the structure of the roots of \(q\)-extension of Genocchi polynomials. Zbl 1133.33309Ryoo, C. S. 6 2008 Some identities involving \(q\)-poly-tangent numbers and polynomials and distribution of their zeros. Zbl 1422.11054Ryoo, C. S.; Agarwal, R. P. 5 2017 A note on the \(q\)-Euler numbers and polynomials with weak weight \(\alpha\). Zbl 1256.11019Lee, H. Y.; Jung, N. S.; Ryoo, C. S. 5 2011 On \(q\)-Bernstein and \(q\)-Hermite polynomials. Zbl 1256.05024Kim, T.; Choi, J.; Kim, Y. H.; Ryoo, C. S. 5 2011 Numerical verification of solutions for Signorini problems using Newton-like method. Zbl 1159.76006Ryoo, Cheon Seoung 5 2008 An analogue of the zeta function and its applications. Zbl 1112.11013Ryoo, Cheon Seoung; Kim, Taekyun 5 2006 Sheffer sequences for the powers of Sheffer pairs under umbral composition. Zbl 1301.05032Kim, D. S.; Kim, T.; Ryoo, C. S. 4 2013 On the generalized Euler polynomials of the second kind. Zbl 1283.11042Kim, Y. H.; Jung, H. Y.; Ryoo, C. S. 4 2013 Some relations between twisted \((h, q)\)-Euler numbers with weight \(a\) and \(q\)-Bernstein polynomials with weight \(a\). Zbl 1272.11131Jung, N. S.; Lee, H. Y.; Ryoo, C. S. 4 2011 A new identities on the \(q\)-Bernoulli numbers and polynomials. Zbl 1266.11041Ryoo, C. S.; Kim, T. 4 2011 Estimating the domain of attraction via moment matrices. Zbl 1191.34070Li, Chunji; Ryoo, Cheon Seoung; Li, Ning; Cao, Lili 4 2009 A numerical computation of the structure of the roots of \(q\)-Bernoulli polynomials. Zbl 1135.65313Ryoo, C. S.; Kim, Taekyun 4 2008 Numerical inclusion methods of solutions for variational inequalities. Zbl 1023.65059Ryoo, C. S.; Agarwal, R. P. 4 2002 A research on the generalized poly-Bernoulli polynomials with variable \(a\). Zbl 1442.11041Jung, N. S.; Ryoo, C. S. 3 2018 Symmetric identities for degenerate \(q\)-poly-Bernoulli numbers and polynomials. Zbl 1390.11048Jung, N. S.; Ryoo, C. S. 3 2018 A research on a new approach to Euler polynomials and Bernstein polynomials with variable \([x]_q\). Zbl 1372.65144Jung, Nam Soon; Ryoo, Cheon Seoung 3 2017 A research on the new polynomials involved with the central factorial numbers, Stirling numbers and others polynomials. Zbl 1361.11015Kang, Jung Yoog; Ryoo, Cheon Seoung 3 2014 An approach to the numerical verification of solutions for variational inequalities using Schauder fixed point theory. Zbl 1303.65032Ryoo, Cheon 3 2014 \(q\)-Bernoulli numbers and \(q\)-Bernoulli polynomials revisited. Zbl 1278.11032Ryoo, Cheon Seoung; Kim, Taekyun; Lee, Byungje 3 2011 Calculating zeros of the second kind Euler polynomials. Zbl 1206.11028Ryoo, C. S. 3 2010 A note on Euler numbers and polynomials. Zbl 1234.11025Ryoo, C. S.; Yoo, Young Sil 3 2009 A note on generalized twisted \(q\)-Euler numbers and polynomials. Zbl 1175.11008Ryoo, C. S.; Seo, J. J.; Kim, T. 3 2008 Numerical verification of solutions for generalized obstacle problems. Zbl 1084.65067Ryoo, C. S.; Agarwal, R. P. 3 2003 Numerical verifications of solutions for obstacle problems. Zbl 1001.65069Agarwal, R. P.; Ryoo, C. S. 3 2001 Some identities for Euler and Bernoulli polynomials and their zeros. Zbl 1432.11021Kim, Taekyun; Ryoo, Cheon Seoung 2 2018 Differential equations associated with twisted \((h,q)\)-tangent polynomials. Zbl 1391.11040Ryoo, Cheon Seoung 2 2018 Indentities of symmetry for generalized Carlitz’s \(q\)-tangent polynomials associated with \(p\)-adic integral on \(\mathbb{Z}_p\). Zbl 1390.11050Ryoo, Cheon Seoung 2 2018 Some explicit identities for the modified higher-order degenerate \(q\)-Euler polynomials and their zeroes. Zbl 1412.11037Jang, L. C.; Kim, B. M.; Choi, S. K.; Ryoo, C. S.; Dolgy, D. V. 2 2017 On Carlitz’s type \(q\)-tangent numbers and polynomials and computation of their zeros. Zbl 1402.11036Hwang, Kyung-Won; Ryoo, Cheon Seoung 2 2017 A research on the some properties and distribution of zeros for Stirling polynomials. Zbl 1364.11060Kang, Jung Yoog; Ryoo, Cheon Seoung 2 2016 Analytic continuation of Euler polynomials and the Euler zeta function. Zbl 1419.11043Ryoo, C. S. 2 2014 Fourier series of the periodic Bernoulli and Euler functions. Zbl 07023204Ryoo, Cheon Seoung; Kwon, Hyuck In; Yoon, Jihee; Jang, Yu Seon 2 2014 An identity of the symmetry for the second kind \(q\)-Euler polynomials. Zbl 1287.11039Ryoo, C. S. 2 2013 Some identities on the weighted \(q\)-Euler numbers and \(q\)-Bernstein polynomials. Zbl 1283.11041Kim, Taekyun; Kim, Young-Hee; Ryoo, Cheon S. 2 2011 Some identities of the twisted \(q\)-Genocchi numbers and polynomials with weight \(\alpha\) and \(q\)-Bernstein polynomials with weight \(\alpha\). Zbl 1232.11029Lee, H. Y.; Jung, N. S.; Ryoo, C. S. 2 2011 On the \(q\)-analogue of Euler measure with weight \(\alpha\). Zbl 1277.11016Dolgy, D. V.; Kim, T.; Lee, B.; Ryoo, C. S. 2 2011 Distribution of the roots of the second kind Bernoulli polynomials. Zbl 1258.11044Ryoo, C. S. 2 2011 On the generalized \(q\)-Genocchi numbers and polynomials of higher-order. Zbl 1238.11018Ryoo, C. S.; Kim, T.; Choi, J.; Lee, B. 2 2011 On the Barnes’ type multiple Euler polynomials. Zbl 1252.11023Ryoo, C. S. 2 2010 A numerical computation of the roots of \(q\)-Euler polynomials. Zbl 1201.11027Ryoo, C. S. 2 2010 A numerical investigation on the structure of the roots of the twisted \(q\)-Euler polynomials. Zbl 1179.65050Ryoo, C. S.; Kim, Y. H. 2 2009 A note on the multiple twisted Carlitz’s type \(q\)-Bernoulli polynomials. Zbl 1195.11029Jang, Lee-Chae; Ryoo, Cheon-Seoung 2 2008 Numerical computations of the roots of the generalized twisted \(q\)-Bernoulli polynomials. Zbl 1151.65040Agarwal, R. P.; Ryoo, C. S. 2 2007 An approach to the numerical verification of solutions for obstacle problems. Zbl 1133.49013Ryoo, Cheon Seoung 2 2007 A note on generalized Euler numbers and polynomials. Zbl 1132.11010Ryoo, C. S.; Kim, T.; Jang, L. C. 2 2007 On the alternating sums of powers of consecutive \(q\)-integers. Zbl 1110.11006Rim, Seog-Hoon; Kim, Taekyun; Ryoo, Cheon Seoung 2 2006 Numerical verification of solutions for obstacle problems. Zbl 1041.65056Ryoo, Cheon Seoung; Nakao, Mitsuhiro T. 2 2003 Numerical verification of solutions for some unilateral boundary value problems. Zbl 1035.65064Ryoo, Cheon Seoung; Song, Howan; Kim, Sang Dong 2 2002 A computational verification method of solution with uniqueness for obstacle problems. Zbl 0918.65051Ryoo, Cheon Seoung 2 1998 Some remarks on the structure of \(k^*\)-paranormal operators. Zbl 0841.47013Lee, Mi Young; Lee, Sang Hun; Ryoo, Cheon Seoung 2 1995 Some identities for \((p, q)\)-Hurwitz zeta function. Zbl 1438.11053Ryoo, Cheon Seoung 1 2019 Differential equations associated with Mahler and Sheffer-Mahler polynomials. Zbl 1440.11027Kim, Taekyun; Kim, Dae San; Kwon, Hyuck-In; Ryoo, Cheon Seoung 1 2019 On degenerate Carlitz-type \((h, q)\)-tangent numbers and polynomials. Zbl 1405.11024Ryoo, C. S. 1 2018 A numerical investigation on the structure of the root of the \((p,q)\)-analogue of Bernoulli polynomials. Zbl 1402.11040Ryoo, C. S. 1 2017 Some properties of the twisted Changhee polynomials and their zeros. Zbl 1410.11017Jang, Lee-Chae; Ryoo, C. S.; Seo, J. J.; Kwon, Hyuck In 1 2016 Estimating the domain of attraction of tumor-immune system based on moment method. Zbl 1361.92035Li, Chunji; Wang, Wei; Ryoo, Cheon Seoung 1 2016 Representation of higher-order Euler numbers using the solution of Bernoulli equation. Zbl 1361.34003Ryoo, Cheon Seoung; Kwon, Hyuck In; Yoon, Jihee; Jang, Yu Seon 1 2015 Dynamics of the zeros of analytic continued \((h, q)\)-Euler polynomials. Zbl 07022576Ryoo, C. S. 1 2014 On the \(\lambda\)-Genocchi polynomials and numbers of second kind. Zbl 1308.11024Kwon, J. H.; Lee, H. Y.; Ryoo, C. S. 1 2014 A note on recurrence formula for values of the Euler zeta functions \(\zeta_E(2n)\) at positive integers. Zbl 1354.11019Lee, Hui Young; Ryoo, Cheon Seoung 1 2014 On Carlitz’s type \(q\)-tangent numbers associated with the fermionic \(p\)-adic integral on \(\mathbb Z_p\). Zbl 1288.11025Ryoo, C. S. 1 2013 An identity of the \((h,q)\)-Euler polynomials associated with the \(p\)-adic \(q\)-integrals on \(\mathbb Z_p\). Zbl 1284.11042Ryoo, C. S. 1 2013 Calculating zeros of the second kind \((h,q)\)-Bernoulli polynomials. Zbl 1286.11024Ryoo, C. S. 1 2012 Some identities on the higher-order-twisted \(q\)-Euler numbers and polynomials with weight \(\alpha\). Zbl 1277.11021Lee, Hui Young; Jung, Nam Soon; Kang, Jung Yoog; Ryoo, Cheon Seoung 1 2012 Zeros of the second kind \((h, q)\)-Bernoulli polynomials. Zbl 1276.11036Ryoo, C. S. 1 2012 A note on \(q\)-Bernoulli numbers and \(q\)-Bernstein polynomials. Zbl 1259.11031Kim, Taekyun; Ryoo, Cheon Seoung; Yi, Heungsu 1 2012 On the structure of the zeroes of \((h,q)\)-Genocchi polynomials. Zbl 1248.11020Ryoo, C. S. 1 2012 Structure of the roots of \((h,q)\)-Euler polynomials. Zbl 1263.11035Ryoo, C. S. 1 2012 A note on the \(q\)-Genocchi numbers and polynomials with weak weight \(\alpha\). Zbl 1278.11030Ryoo, C. S.; Kang, J. Y. 1 2012 On the values of the weighted \(q\)-zeta and \(L\)-functions. Zbl 1248.11095Kim, T.; Lee, S. H.; Han, Hyeon-Ho; Ryoo, C. S. 1 2011 A numerical investigation of the roots of the second kind \(\lambda\)-Bernoulli polynomials. Zbl 1242.65093Lee, H. Y.; Jung, N. S.; Ryoo, C. S. 1 2011 Analogue of Lebesgue-Radon-Nikodym theorem with respect to \(p\)-adic \(q\)-measure on \(\mathbb Z_p\). Zbl 1262.11101Kim, T.; Dolgy, D. V.; Lee, S. H.; Ryoo, C. S. 1 2011 A note on the second kind Genocchi polynomials. Zbl 1246.11056Ryoo, C. S. 1 2011 Some identities for \((p, q)\)-Hurwitz zeta function. Zbl 1438.11053Ryoo, Cheon Seoung 1 2019 Differential equations associated with Mahler and Sheffer-Mahler polynomials. Zbl 1440.11027Kim, Taekyun; Kim, Dae San; Kwon, Hyuck-In; Ryoo, Cheon Seoung 1 2019 A research on the generalized poly-Bernoulli polynomials with variable \(a\). Zbl 1442.11041Jung, N. S.; Ryoo, C. S. 3 2018 Symmetric identities for degenerate \(q\)-poly-Bernoulli numbers and polynomials. Zbl 1390.11048Jung, N. S.; Ryoo, C. S. 3 2018 Some identities for Euler and Bernoulli polynomials and their zeros. Zbl 1432.11021Kim, Taekyun; Ryoo, Cheon Seoung 2 2018 Differential equations associated with twisted \((h,q)\)-tangent polynomials. Zbl 1391.11040Ryoo, Cheon Seoung 2 2018 Indentities of symmetry for generalized Carlitz’s \(q\)-tangent polynomials associated with \(p\)-adic integral on \(\mathbb{Z}_p\). Zbl 1390.11050Ryoo, Cheon Seoung 2 2018 On degenerate Carlitz-type \((h, q)\)-tangent numbers and polynomials. Zbl 1405.11024Ryoo, C. S. 1 2018 On degenerate \(q\)-tangent polynomials of higher order. Zbl 1371.11058Ryoo, C. S. 11 2017 On the \((p,q)\)-analogue of Euler zeta function. Zbl 1371.11059Ryoo, Cheon Seoung 6 2017 Some identities involving \(q\)-poly-tangent numbers and polynomials and distribution of their zeros. Zbl 1422.11054Ryoo, C. S.; Agarwal, R. P. 5 2017 A research on a new approach to Euler polynomials and Bernstein polynomials with variable \([x]_q\). Zbl 1372.65144Jung, Nam Soon; Ryoo, Cheon Seoung 3 2017 Some explicit identities for the modified higher-order degenerate \(q\)-Euler polynomials and their zeroes. Zbl 1412.11037Jang, L. C.; Kim, B. M.; Choi, S. K.; Ryoo, C. S.; Dolgy, D. V. 2 2017 On Carlitz’s type \(q\)-tangent numbers and polynomials and computation of their zeros. Zbl 1402.11036Hwang, Kyung-Won; Ryoo, Cheon Seoung 2 2017 A numerical investigation on the structure of the root of the \((p,q)\)-analogue of Bernoulli polynomials. Zbl 1402.11040Ryoo, C. S. 1 2017 Differential equations associated with tangent numbers. Zbl 1348.11020Ryoo, C. S. 10 2016 A research on the some properties and distribution of zeros for Stirling polynomials. Zbl 1364.11060Kang, Jung Yoog; Ryoo, Cheon Seoung 2 2016 Some properties of the twisted Changhee polynomials and their zeros. Zbl 1410.11017Jang, Lee-Chae; Ryoo, C. S.; Seo, J. J.; Kwon, Hyuck In 1 2016 Estimating the domain of attraction of tumor-immune system based on moment method. Zbl 1361.92035Li, Chunji; Wang, Wei; Ryoo, Cheon Seoung 1 2016 Representation of higher-order Euler numbers using the solution of Bernoulli equation. Zbl 1361.34003Ryoo, Cheon Seoung; Kwon, Hyuck In; Yoon, Jihee; Jang, Yu Seon 1 2015 A numerical investigation on the zeros of the tangent polynomials. Zbl 1301.11026Ryoo, C. S. 10 2014 A research on the new polynomials involved with the central factorial numbers, Stirling numbers and others polynomials. Zbl 1361.11015Kang, Jung Yoog; Ryoo, Cheon Seoung 3 2014 An approach to the numerical verification of solutions for variational inequalities using Schauder fixed point theory. Zbl 1303.65032Ryoo, Cheon 3 2014 Analytic continuation of Euler polynomials and the Euler zeta function. Zbl 1419.11043Ryoo, C. S. 2 2014 Fourier series of the periodic Bernoulli and Euler functions. Zbl 07023204Ryoo, Cheon Seoung; Kwon, Hyuck In; Yoon, Jihee; Jang, Yu Seon 2 2014 Dynamics of the zeros of analytic continued \((h, q)\)-Euler polynomials. Zbl 07022576Ryoo, C. S. 1 2014 On the \(\lambda\)-Genocchi polynomials and numbers of second kind. Zbl 1308.11024Kwon, J. H.; Lee, H. Y.; Ryoo, C. S. 1 2014 A note on recurrence formula for values of the Euler zeta functions \(\zeta_E(2n)\) at positive integers. Zbl 1354.11019Lee, Hui Young; Ryoo, Cheon Seoung 1 2014 Sheffer sequences for the powers of Sheffer pairs under umbral composition. Zbl 1301.05032Kim, D. S.; Kim, T.; Ryoo, C. S. 4 2013 On the generalized Euler polynomials of the second kind. Zbl 1283.11042Kim, Y. H.; Jung, H. Y.; Ryoo, C. S. 4 2013 An identity of the symmetry for the second kind \(q\)-Euler polynomials. Zbl 1287.11039Ryoo, C. S. 2 2013 On Carlitz’s type \(q\)-tangent numbers associated with the fermionic \(p\)-adic integral on \(\mathbb Z_p\). Zbl 1288.11025Ryoo, C. S. 1 2013 An identity of the \((h,q)\)-Euler polynomials associated with the \(p\)-adic \(q\)-integrals on \(\mathbb Z_p\). Zbl 1284.11042Ryoo, C. S. 1 2013 Calculating zeros of the second kind \((h,q)\)-Bernoulli polynomials. Zbl 1286.11024Ryoo, C. S. 1 2012 Some identities on the higher-order-twisted \(q\)-Euler numbers and polynomials with weight \(\alpha\). Zbl 1277.11021Lee, Hui Young; Jung, Nam Soon; Kang, Jung Yoog; Ryoo, Cheon Seoung 1 2012 Zeros of the second kind \((h, q)\)-Bernoulli polynomials. Zbl 1276.11036Ryoo, C. S. 1 2012 A note on \(q\)-Bernoulli numbers and \(q\)-Bernstein polynomials. Zbl 1259.11031Kim, Taekyun; Ryoo, Cheon Seoung; Yi, Heungsu 1 2012 On the structure of the zeroes of \((h,q)\)-Genocchi polynomials. Zbl 1248.11020Ryoo, C. S. 1 2012 Structure of the roots of \((h,q)\)-Euler polynomials. Zbl 1263.11035Ryoo, C. S. 1 2012 A note on the \(q\)-Genocchi numbers and polynomials with weak weight \(\alpha\). Zbl 1278.11030Ryoo, C. S.; Kang, J. Y. 1 2012 Some relations between twisted \(q\)-Euler numbers and Bernstein polynomials. Zbl 1266.11040Ryoo, C. S. 23 2011 A note on the weighted \(q\)-Euler numbers and polynomials. Zbl 1276.11037Ryoo, Cheon Seoung 19 2011 Some identities of the twisted \(q\)-Euler numbers and polynomials associated with \(q\)-Bernstein polynomials. Zbl 1255.11005Ryoo, C. S. 15 2011 A note on the Frobenius-Euler polynomials. Zbl 1258.11045Ryoo, C. S. 11 2011 A note on the weigthed \(p\)-adic \(q\)-Euler measure on \(\mathbb Z_p\). Zbl 1276.11032Kim, T.; Choi, J.; Kim, Y. H.; Ryoo, C. S. 10 2011 A note on the \(q\)-Euler numbers and polynomials with weak weight \(\alpha\). Zbl 1256.11019Lee, H. Y.; Jung, N. S.; Ryoo, C. S. 5 2011 On \(q\)-Bernstein and \(q\)-Hermite polynomials. Zbl 1256.05024Kim, T.; Choi, J.; Kim, Y. H.; Ryoo, C. S. 5 2011 Some relations between twisted \((h, q)\)-Euler numbers with weight \(a\) and \(q\)-Bernstein polynomials with weight \(a\). Zbl 1272.11131Jung, N. S.; Lee, H. Y.; Ryoo, C. S. 4 2011 A new identities on the \(q\)-Bernoulli numbers and polynomials. Zbl 1266.11041Ryoo, C. S.; Kim, T. 4 2011 \(q\)-Bernoulli numbers and \(q\)-Bernoulli polynomials revisited. Zbl 1278.11032Ryoo, Cheon Seoung; Kim, Taekyun; Lee, Byungje 3 2011 Some identities on the weighted \(q\)-Euler numbers and \(q\)-Bernstein polynomials. Zbl 1283.11041Kim, Taekyun; Kim, Young-Hee; Ryoo, Cheon S. 2 2011 Some identities of the twisted \(q\)-Genocchi numbers and polynomials with weight \(\alpha\) and \(q\)-Bernstein polynomials with weight \(\alpha\). Zbl 1232.11029Lee, H. Y.; Jung, N. S.; Ryoo, C. S. 2 2011 On the \(q\)-analogue of Euler measure with weight \(\alpha\). Zbl 1277.11016Dolgy, D. V.; Kim, T.; Lee, B.; Ryoo, C. S. 2 2011 Distribution of the roots of the second kind Bernoulli polynomials. Zbl 1258.11044Ryoo, C. S. 2 2011 On the generalized \(q\)-Genocchi numbers and polynomials of higher-order. Zbl 1238.11018Ryoo, C. S.; Kim, T.; Choi, J.; Lee, B. 2 2011 On the values of the weighted \(q\)-zeta and \(L\)-functions. Zbl 1248.11095Kim, T.; Lee, S. H.; Han, Hyeon-Ho; Ryoo, C. S. 1 2011 A numerical investigation of the roots of the second kind \(\lambda\)-Bernoulli polynomials. Zbl 1242.65093Lee, H. Y.; Jung, N. S.; Ryoo, C. S. 1 2011 Analogue of Lebesgue-Radon-Nikodym theorem with respect to \(p\)-adic \(q\)-measure on \(\mathbb Z_p\). Zbl 1262.11101Kim, T.; Dolgy, D. V.; Lee, S. H.; Ryoo, C. S. 1 2011 A note on the second kind Genocchi polynomials. Zbl 1246.11056Ryoo, C. S. 1 2011 On the generalized Barnes type multiple \(q\)-Euler polynomials twisted by ramified roots of unity. Zbl 1246.11057Ryoo, C. S. 21 2010 A note on the zeros of the \(q\)-Bernoulli polynomials. Zbl 1288.11024Ryoo, C. S. 9 2010 On the fermionic \(p\)-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials. Zbl 1239.11020Kim, T.; Choi, J.; Kim, Y. H.; Ryoo, C. S. 9 2010 Reflection symmetries of the \(q\)-Genocchi polynomials. Zbl 1278.11031Ryoo, Cheon Seoung 8 2010 Calculating zeros of the second kind Euler polynomials. Zbl 1206.11028Ryoo, C. S. 3 2010 On the Barnes’ type multiple Euler polynomials. Zbl 1252.11023Ryoo, C. S. 2 2010 A numerical computation of the roots of \(q\)-Euler polynomials. Zbl 1201.11027Ryoo, C. S. 2 2010 Some identities of Bernoulli numbers and polynomials associated with Bernstein polynomials. Zbl 1221.11059Kim, Min-Soo; Kim, Taekyun; Lee, Byungje; Ryoo, Cheon-Seoung 1 2010 Some identities on the generalized \(q\)-Bernoulli numbers and polynomials associated with \(q\)-Volkenborn integrals. Zbl 1222.11033Kim, T.; Choi, J.; Lee, B.; Ryoo, C. S. 1 2010 On Carlitz’s type \(q\)-Euler numbers associated with the fermionic \(P\)-adic integral on \(\mathbb Z_p\). Zbl 1222.11032Kim, Min-Soo; Kim, Taekyun; Ryoo, Cheon-Seoung 1 2010 A note on the \((h,q)\)-extension of Bernoulli numbers and Bernoulli polynomials. Zbl 1209.11030Ryoo, C. S.; Kim, T. 1 2010 A note on the \((h,q)\)-Bernoulli polynomials. Zbl 1213.11052Ryoo, C. S. 1 2010 A numerical approach to the proof of existence of solutions for some generalized obstacle problems. Zbl 1191.65079Ryoo, Cheon Seoung 1 2010 On the twisted \(q\)-Euler zeta function associated with twisted \(q\)-Euler numbers. Zbl 1207.11115Kim, Young-Hee; Kim, Wonjoo; Ryoo, Cheon Seoung 10 2009 Estimating the domain of attraction via moment matrices. Zbl 1191.34070Li, Chunji; Ryoo, Cheon Seoung; Li, Ning; Cao, Lili 4 2009 A note on Euler numbers and polynomials. Zbl 1234.11025Ryoo, C. S.; Yoo, Young Sil 3 2009 A numerical investigation on the structure of the roots of the twisted \(q\)-Euler polynomials. Zbl 1179.65050Ryoo, C. S.; Kim, Y. H. 2 2009 Note on \(q\)-extensions of Euler numbers and polynomials of higher order. Zbl 1195.11030Kim, Taekyun; Jang, Lee-Chae; Ryoo, Cheon-Seoung 7 2008 Calculating zeros of the twisted Genocchi polynomials. Zbl 1171.11012Ryoo, C. S. 6 2008 A numerical investigation on the structure of the roots of \(q\)-Genocchi polynomials. Zbl 1230.11145Ryoo, Cheon Seoung 6 2008 A numerical computation on the structure of the roots of \(q\)-extension of Genocchi polynomials. Zbl 1133.33309Ryoo, C. S. 6 2008 Numerical verification of solutions for Signorini problems using Newton-like method. Zbl 1159.76006Ryoo, Cheon Seoung 5 2008 A numerical computation of the structure of the roots of \(q\)-Bernoulli polynomials. Zbl 1135.65313Ryoo, C. S.; Kim, Taekyun 4 2008 A note on generalized twisted \(q\)-Euler numbers and polynomials. Zbl 1175.11008Ryoo, C. S.; Seo, J. J.; Kim, T. 3 2008 A note on the multiple twisted Carlitz’s type \(q\)-Bernoulli polynomials. Zbl 1195.11029Jang, Lee-Chae; Ryoo, Cheon-Seoung 2 2008 Calculating zeros of the twisted Euler polynomials. Zbl 1196.11037Agarwal, R. P.; Kim, Young-Ho; Ryoo, C. S. 1 2008 \(p\)-adic \(q\)-integrals and basic \(q\)-zeta function. Zbl 1145.11079Kim, Taekyun; Ryoo, Cheon Seoung 1 2008 New integral inequalities for iterated integrals with applications. Zbl 1133.26304Agarwal, Ravi P.; Ryoo, Cheon Seoung; Kim, Young-Ho 9 2007 A note on \(q\)-Bernoulli numbers and polynomials. Zbl 1221.11053Ryoo, Cheon Seoung 8 2007 Some relationships between the analogs of Euler numbers and polynomials. Zbl 1188.11006Ryoo, C. S.; Kim, T.; Jang, Lee-Chae 7 2007 Numerical computations of the roots of the generalized twisted \(q\)-Bernoulli polynomials. Zbl 1151.65040Agarwal, R. P.; Ryoo, C. S. 2 2007 An approach to the numerical verification of solutions for obstacle problems. Zbl 1133.49013Ryoo, Cheon Seoung 2 2007 A note on generalized Euler numbers and polynomials. Zbl 1132.11010Ryoo, C. S.; Kim, T.; Jang, L. C. 2 2007 A numerical investigation of the roots of \(q\)-polynomials. Zbl 1090.65054Ryoo, C. S.; Kim, T.; Agarwal, R. P. 15 2006 An analogue of the zeta function and its applications. Zbl 1112.11013Ryoo, Cheon Seoung; Kim, Taekyun 5 2006 On the alternating sums of powers of consecutive \(q\)-integers. Zbl 1110.11006Rim, Seog-Hoon; Kim, Taekyun; Ryoo, Cheon Seoung 2 2006 The zeros of the generalized twisted Bernoulli polynomials. Zbl 1133.11014Ryoo, C. S. 1 2006 A numerical investigation on the zeros of the Genocchi polynomials. Zbl 1120.11012Ryoo, C. S. 1 2006 A numerical investigation on the structure of the roots of the twisted \(q\)-Bernoulli polynomials. Zbl 1102.65027Agarwal, R. P.; Ryoo, C. S. 1 2006 Exploring the \(q\)-Riemann zeta function and \(q\)-Bernoulli polynomials. Zbl 1128.11009Kim, T.; Ryoo, C. S.; Jang, L. C.; Rim, S. H. 12 2005 Exploring the multiple Changhee \(q\)-Bernoulli polynomials. Zbl 1098.11017Ryoo, C. S.; Kim, T.; Agarwal, R. P. 8 2005 ...and 17 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year