tanhc函数, 定义如下, tanhc, plottanhc, 2dtanhc, 积分图tanhc, integral, plottanhc, tanh, displaystyle, tanhc, frac, tanh, left, right, 复域虚部im, tanh, displaystyle, left, frac, tanh, left, right, right, 复域实部re, tanh, displaystyle, left, frac, tanh, left, right, right, 复域绝. Tanhc函数定义如下 1 Tanhc 2D plotTanhc z 2DTanhc 积分图Tanhc integral 3D plottanhc z tanh z z displaystyle tanhc z frac tanh left z right z 复域虚部Im tanh x iy x iy displaystyle it Im left frac tanh left x iy right x iy right 复域实部Re tanh x iy x iy displaystyle it Re left frac tanh left x iy right x iy right 复域绝对值 tanh x iy x iy displaystyle left frac tanh left x iy right x iy right 一阶微商1 tanh z 2z tanh z z2 displaystyle frac 1 left tanh left z right right 2 z frac tanh left z right z 2 微商实部 Re 1 tanh x iy 2x iy tanh x iy x iy 2 displaystyle it Re left frac 1 left tanh left x iy right right 2 x iy frac tanh left x iy right left x iy right 2 right 微商虚部 Im 1 tanh x iy 2x iy tanh x iy x iy 2 displaystyle it Im left frac 1 left tanh left x iy right right 2 x iy frac tanh left x iy right left x iy right 2 right 微商绝对值 1 tanh x iy 2x iy tanh x iy x iy 2 displaystyle left frac 1 left tanh left x iy right right 2 x iy frac tanh left x iy right left x iy right 2 right 积分函数 0ztanh x xdx displaystyle int 0 z frac tanh left x right x dx 目录 1 用其他特殊函数表示 2 级数展开 3 图像 4 参看 5 参考资料用其他特殊函数表示 编辑tanhc z 2KummerM 1 2 2z 2iz p KummerM 1 2 ip 2z e2z 1 2ip displaystyle tanhc z 2 frac rm KummerM left 1 2 2 z right left 2 iz pi right rm KummerM left 1 2 i pi 2 z right rm e 2 z 1 2 i pi nbsp tanhc z 2HeunB 2 0 0 0 2z 2iz p HeunB 2 0 0 0 21 2ip z e2z 1 2ip displaystyle tanhc z 2 frac it HeunB left 2 0 0 0 sqrt 2 sqrt z right left 2 iz pi right it HeunB left 2 0 0 0 sqrt 2 sqrt 1 2 i pi z right rm e 2 z 1 2 i pi nbsp tanhc z i WhittakerM 0 1 2 2z WhittakerM 0 1 2 ip 2z z displaystyle tanhc z frac i rm WhittakerM left 0 1 2 2 z right rm WhittakerM left 0 1 2 i pi 2 z right z nbsp tanhc z i e2z 1 eip 2z 1 e2z 1 2ipz displaystyle tanhc z frac i left rm e 2 z 1 right left rm e i pi 2 z 1 right rm e 2 z 1 2 i pi z nbsp 级数展开 编辑tanhc 1 13z2 215z4 17315z6 622835z8 1382155925z10 218446081075z12 929569638512875z14 O z16 displaystyle tanhc approx 1 frac 1 3 z 2 frac 2 15 z 4 frac 17 315 z 6 frac 62 2835 z 8 frac 1382 155925 z 10 frac 21844 6081075 z 12 frac 929569 638512875 z 14 O left z 16 right nbsp 0ztanh x xdx z 19z3 275z5 172205z7 6225515z9 13821715175z11 O z13 displaystyle int 0 z frac tanh left x right x dx z frac 1 9 z 3 frac 2 75 z 5 frac 17 2205 z 7 frac 62 25515 z 9 frac 1382 1715175 z 11 O left z 13 right nbsp 图像 编辑 nbsp Tanhc abs complex 3D nbsp Tanhc Im complex 3D plot nbsp Tanhc Re complex 3D plot nbsp Tanhc z Im complex 3D plot nbsp Tanhc z Re complex 3D plot nbsp Tanhc z abs complex 3D plot nbsp Tanhc abs plot nbsp Tanhc Im plot nbsp Tanhc Re plot nbsp Tanhc z Im plot nbsp Tanhc z abs plot nbsp Tanhc z Re plot nbsp Tanhc integral abs 3D plot nbsp Tanhc integral Im 3D plot nbsp Tanhc integral Re 3D plot nbsp Tanhc integral abs density plot nbsp Tanhc integral Im density plot nbsp Tanhc integral Re density plot参看 编辑Sinhc 函数 Coshc 函数 Tanc 函数 双曲正弦积分函数参考资料 编辑 Weisstein Eric W Tanhc Function From MathWorld A Wolfram Web Resource http mathworld wolfram com TanhcFunction html 页面存档备份 存于互联网档案馆 取自 https zh wikipedia org w index php title Tanhc函数 amp oldid 61988112, 维基百科，wiki，书籍，书籍，图书馆，
