Sech Introduction to the hyperbolic functions Introduction to the Hyperbolic Secant Function Introduction to the Hyperbolic Functions in Mathematica Introduction to the Hyperbolic Secant Function in Mathematica Visualizations (217 graphics, 1 animation) Plotting Evaluation Elementary Functions Sech[z] (1012 formulas) Primary definition (1 formula) Specific values (160 formulas) General characteristics (10 formulas) Series representations (25 formulas) Integral representations (1 formula) Product representations (1 formula) Limit representations (1 formula) Differential equations (2 formulas) Transformations (85 formulas) Identities (2 formulas) Complex characteristics (6 formulas) Differentiation (7 formulas) Integration (606 formulas) Summation (4 formulas) Products (3 formulas) Representations through more general functions (29 formulas) Representations through equivalent functions (66 formulas) Inequalities (3 formulas) Theorems (0 formulas) History (0 formulas)