1.Exploring the q-Riemann zeta function and q-Bernoulli polynomials

作　　者：T. Kim ;C. S. Ryoo ;L. C. Jang 等

出　　处：Discrete Dynamics in Nature and Society. 2005 ;2005(2):171-181.doi:10.1155/DDNS.2005.171

出版社：Hindawi Publishing Corporation

文章 ID：27726188

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2.A Note on the <svg style="vertical-align:-3.294pt;width:47.599998px;" id="M1" height="19.5375" version="1.1" viewBox="0 0 47.599998 19.5375" width="47.599998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.5375)"> <g transform="translate(72,-56.37)"> <text transform="matrix(1,0,0,-1,-71.95,59.7)"> <tspan style="font-size: 17.93px; " x="0" y="0">(</tspan> <tspan style="font-size: 17.93px; " x="5.9716892" y="0">ℎ</tspan> <tspan style="font-size: 17.93px; " x="16.319031" y="0">,</tspan> <tspan style="font-size: 17.93px; " x="23.779158" y="0">𝑞</tspan> <tspan style="font-size: 17.93px; " x="31.992472" y="0">)</tspan> </text> </g> </g> </svg>-Extension of Bernoulli Numbers and Bernoulli Polynomials

作　　者：C. S. Ryoo ;T. Kim

出　　处：Discrete Dynamics in Nature and Society. 2010 ;2010.doi:10.1155/2010/807176

出版社：Hindawi Publishing Corporation

文章 ID：33222470

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3.Generalized <svg style="vertical-align:-4.626pt;width:51.450001px;" id="M1" height="21.799999" version="1.1" viewBox="0 0 51.450001 21.799999" width="51.450001" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.022,-0,0,-.022,.062,15.975)"><path id="x28" d="M300 -147l-18 -23q-106 71 -159 185.5t-53 254.5v1q0 139 53 252.5t159 186.5l18 -24q-74 -62 -115.5 -173.5t-41.5 -242.5q0 -130 41.5 -242.5t115.5 -174.5z" /></g><g transform="matrix(.022,-0,0,-.022,7.819,15.975)"><path id="x1D45E" d="M474 429q-19 -69 -47 -222l-65 -347q-8 -49 0 -60t49 -16l26 -3l-4 -26l-246 -12l4 25l17 3q37 6 50 20.5t23 60.5l67 321h-2q-65 -79 -150 -138q-69 -47 -104 -47q-28 0 -48.5 32t-20.5 81q0 78 35 148t90 117q67 57 161 77q23 5 58 5q43 0 90 -15zM387 387
q-30 16 -75 16q-58 0 -92 -27q-49 -39 -78.5 -112t-29.5 -136q0 -34 8.5 -52.5t21.5 -18.5q40 0 109.5 63.5t103.5 115.5q16 53 32 151z" /></g><g transform="matrix(.022,-0,0,-.022,18.825,15.975)"><path id="x2C" d="M95 130q31 0 61 -30t30 -78q0 -53 -38 -87.5t-93 -51.5l-11 29q77 31 77 85q0 26 -17.5 43t-44.5 24q-4 0 -8.5 6.5t-4.5 17.5q0 18 15 30t34 12z" /></g><g transform="matrix(.022,-0,0,-.022,27.657,15.975)"><path id="x1D464" d="M689 332q0 -81 -40 -161.5t-103.5 -131.5t-127.5 -51q-32 0 -58.5 16t-40.5 46q-70 -62 -139 -62q-45 0 -77.5 30t-32.5 86q0 8 7 52q11 77 45 187q6 19 6 34q0 6 -7 6q-24 0 -78 -64l-20 23q32 48 73 77t78 29q32 0 32 -43q0 -30 -12 -73q-27 -95 -38 -152
q-8 -44 -8 -58q0 -77 68 -77q31 0 60 33.5t39 77.5l62 260l75 16l5 -6l-63 -246q-8 -29 -8 -58q0 -77 68 -77q66 0 116 75.5t50 194.5q0 43 -12 57q-11 12 -11 24q0 19 15 35.5t34 16.5q18 0 30.5 -34.5t12.5 -81.5z" /></g><g transform="matrix(.022,-0,0,-.022,43.617,15.975)"><path id="x29" d="M275 270q0 -296 -211 -440l-19 23q75 62 116.5 174t41.5 243t-42 243t-116 173l19 24q211 -144 211 -440z" /></g> </svg>-Euler Numbers and Polynomials Associated with <svg style="vertical-align:-4.626pt;width:13.4125px;" id="M2" height="17.5" version="1.1" viewBox="0 0 13.4125 17.5" width="13.4125" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.022,-0,0,-.022,.062,11.675)"><path id="x1D45D" d="M570 304q0 -108 -87 -199q-40 -42 -94.5 -74t-105.5 -43q-41 0 -65 11l-29 -141q-9 -45 -1.5 -58t45.5 -16l26 -2l-5 -29l-241 -10l4 26q51 10 67.5 24t26.5 60l113 520q-54 -20 -89 -41l-7 26q38 28 105 53l11 49q20 25 77 58l8 -7l-17 -77q39 14 102 14q82 0 119 -36
t37 -108zM482 289q0 114 -113 114q-26 0 -66 -7l-70 -327q12 -14 32 -25t39 -11q59 0 118.5 81.5t59.5 174.5z" /></g> </svg>-Adic <svg style="vertical-align:-4.626pt;width:11.125px;" id="M3" height="15.925" version="1.1" viewBox="0 0 11.125 15.925" width="11.125" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.022,-0,0,-.022,.062,10.1)"><use xlink:href="#x1D45E"/></g> </svg>-Integral on <svg style="vertical-align:-7.55826pt;width:26.799999px;" id="M4" height="24.6625" version="1.1" viewBox="0 0 26.799999 24.6625" width="26.799999" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.022,-0,0,-.022,.062,15.188)"><path id="x2124" d="M734 170q-25 -130 -36 -170h-661l-8 15l420 599h-173q-77 0 -102 -7t-39 -29q-19 -29 -35 -87l-29 1l12 183h24q9 -16 19 -20.5t34 -4.5h543l7 -14l-416 -598l166 -2q94 0 131.5 7.5t58.5 29.5q28 29 55 103zM639 614h-89l-397 -567l88 -7z" /></g> <g transform="matrix(.016,-0,0,-.016,16.813,20.575)"><use xlink:href="#x1D45D"/></g> </svg>

作　　者：H. Y. Lee ;N. S. Jung ;J. Y. Kang 等

出　　处：International Journal of Mathematics and Mathematical Sciences. 2012 ;2012.doi:10.1155/2012/817157

出版社：Hindawi Publishing Corporation

文章 ID：83599215

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4.Analytic Continuation of Euler Polynomials and the Euler Zeta Function

作　　者：C. S. Ryoo

出　　处：Discrete Dynamics in Nature and Society. 2014 ;2014.doi:10.1155/2014/568129

出版社：Hindawi Publishing Corporation

文章 ID：90951539

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5.A Numerical Investigation on the Structure of the Zeros of Euler Polynomials

作　　者：C. S. Ryoo ;J. Y. Kang

出　　处：Discrete Dynamics in Nature and Society. 2015 ;2015.doi:10.1155/2015/174173

出版社：Hindawi Publishing Corporation

文章 ID：105773409

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6.On the Values of the Weighted <svg style="vertical-align:-3.294pt;width:11.2875px;" id="M1" height="14.1125" version="1.1" viewBox="0 0 11.2875 14.1125" width="11.2875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.1125)"> <g transform="translate(72,-60.71)"> <text transform="matrix(1,0,0,-1,-71.95,64.04)"> <tspan style="font-size: 17.93px; " x="0" y="0">𝑞</tspan> </text> </g> </g> </svg>-Zeta and <svg style="vertical-align:-0.0pt;width:16px;" height="14.7625" version="1.1" viewBox="0 0 16 14.7625" width="16" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7625)"> <g transform="translate(72,-60.19)"> <text transform="matrix(1,0,0,-1,-71.95,60.24)"> <tspan style="font-size: 17.93px; " x="0" y="0">𝐿</tspan> </text> </g> </g> </svg>-Functions

作　　者：T. Kim ;S. H. Lee ;Hyeon-Ho Han 等

出　　处：Discrete Dynamics in Nature and Society. 2011 ;2011.doi:10.1155/2011/476381

出版社：Hindawi Publishing Corporation

文章 ID：79857157

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7.Some Relations between Twisted (<svg style="vertical-align:-3.294pt;width:33.786251px;" id="M1" height="20.657499" version="1.1" viewBox="0 0 33.786251 20.657499" width="33.786251" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.6575)"> <text transform="matrix(1,0,0,-1,0.498,3.78)"> <tspan style="font-size: 17.93px; " x="0" y="0">ℎ</tspan> <tspan style="font-size: 17.93px; " x="10.347197" y="0">,</tspan> <tspan style="font-size: 17.93px; " x="17.80722" y="0">𝑞</tspan> </text> </g> </svg>)-Euler Numbers with Weight <i>α</i> and <svg style="vertical-align:-3.294pt;width:11.51125px;" height="15.2325" version="1.1" viewBox="0 0 11.51125 15.2325" width="11.51125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.2325)"> <text transform="matrix(1,0,0,-1,0.498,3.78)"> <tspan style="font-size: 17.93px; " x="0" y="0">𝑞</tspan> </text> </g> </svg>-Bernstein Polynomials with Weight <i >α</i>

作　　者：N. S. Jung ;H. Y. Lee ;C. S. Ryoo

出　　处：Discrete Dynamics in Nature and Society. 2011 ;2011.doi:10.1155/2011/176296

出版社：Hindawi Publishing Corporation

文章 ID：79857171

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8.Calculating Zeros of the <svg style="vertical-align:-4.626pt;width:11.125px;" id="M1" height="15.925" version="1.1" viewBox="0 0 11.125 15.925" width="11.125" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.022,0,0,-.022,.062,10.1)"><path id="x1D45E" d="M474 429q-19 -69 -47 -222l-65 -347q-8 -49 0 -60t49 -16l26 -3l-4 -26l-246 -12l4 25l17 3q37 6 50 20.5t23 60.5l67 321h-2q-65 -79 -150 -138q-69 -47 -104 -47q-28 0 -48.5 32t-20.5 81q0 78 35 148t90 117q67 57 161 77q23 5 58 5q43 0 90 -15zM387 387
q-30 16 -75 16q-58 0 -92 -27q-49 -39 -78.5 -112t-29.5 -136q0 -34 8.5 -52.5t21.5 -18.5q40 0 109.5 63.5t103.5 115.5q16 53 32 151z"/></g> </svg>-Genocchi Polynomials Associated with <svg style="vertical-align:-4.626pt;width:13.4125px;" id="M2" height="17.5" version="1.1" viewBox="0 0 13.4125 17.5" width="13.4125" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.022,0,0,-.022,.062,11.675)"><path id="x1D45D" d="M570 304q0 -108 -87 -199q-40 -42 -94.5 -74t-105.5 -43q-41 0 -65 11l-29 -141q-9 -45 -1.5 -58t45.5 -16l26 -2l-5 -29l-241 -10l4 26q51 10 67.5 24t26.5 60l113 520q-54 -20 -89 -41l-7 26q38 28 105 53l11 49q20 25 77 58l8 -7l-17 -77q39 14 102 14q82 0 119 -36
t37 -108zM482 289q0 114 -113 114q-26 0 -66 -7l-70 -327q12 -14 32 -25t39 -11q59 0 118.5 81.5t59.5 174.5z"/></g> </svg>-adic <svg style="vertical-align:-4.626pt;width:11.125px;" id="M3" height="15.925" version="1.1" viewBox="0 0 11.125 15.925" width="11.125" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.022,0,0,-.022,.062,10.1)"><use xlink:href="#x1D45E"/></g> </svg>-Integral on <svg style="vertical-align:-7.55826pt;width:26.799999px;" id="M4" height="24.6625" version="1.1" viewBox="0 0 26.799999 24.6625" width="26.799999" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.022,0,0,-.022,.062,15.188)"><path id="x2124" d="M734 170q-25 -130 -36 -170h-661l-8 15l420 599h-173q-77 0 -102 -7t-39 -29q-19 -29 -35 -87l-29 1l12 183h24q9 -16 19 -20.5t34 -4.5h543l7 -14l-416 -598l166 -2q94 0 131.5 7.5t58.5 29.5q28 29 55 103zM639 614h-89l-397 -567l88 -7z"/></g> <g transform="matrix(.016,0,0,-.016,16.813,20.575)"><use xlink:href="#x1D45D"/></g> </svg>

作　　者：C. S. Ryoo

出　　处：International Journal of Mathematics and Mathematical Sciences. 2012 ;2012.doi:10.1155/2012/210768

出版社：Hindawi Publishing Corporation

文章 ID：79864332

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9.Exploring the <mml:math alttext="$q$" id="E1" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>q</mml:mi></mml:math>-Riemann zeta function and <mml:math alttext="$q$" id="E2" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>q</mml:mi></mml:math>-Bernoulli polynomials

作　　者：T. Kim ;C. S. Ryoo ;L. C. Jang 等

出　　处：Discrete Dynamics in Nature and Society. 2005 ;2005.doi:10.1155/DDNS.2005.171

出版社：Hindawi Publishing Corporation

文章 ID：81377981

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