DLMF:4.25.E2

MaRDI QIDQ2107

• Label: DLMF:4.25.E2

Digital Library of Mathematical Functions ID 4.25.E2

${\displaystyle{\displaystyle\tan\left(az\right)=\cfrac{a\tan z}{1+\cfrac{(1-a^{2}){\tan^{2}}z}{3+\cfrac{(4-a^{2}){\tan^{2}}z}{5+\cfrac{(9-a^{2}){\tan^{2}}z}{7+}}}}\cdots,}}$

Constraint(s)

${\displaystyle{\displaystyle|\Re z|<\tfrac{1}{2}\pi}}$
${\displaystyle{\displaystyle|\Re z|<\tfrac{1}{2}\pi}}$
${\displaystyle{\displaystyle az\neq\pm\tfrac{1}{2}\pi,\pm\tfrac{3}{2}\pi,\dots}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle\tan\NVar{z}}}$: tangent function
• ${\displaystyle{\displaystyle a}}$: real or complex constant
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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