Power Series Expansion for Secant Function/Also presented as
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Power Series Expansion for Secant Function: Also presented as
The Power Series Expansion for Secant Function can also be presented in the form:
| \(\ds \sec x\) | \(=\) | \(\ds 1 + \sum_{n \mathop = 1}^\infty \frac { {E_n}^* x^{2 n} } {\paren {2 n}!}\) |
where ${E_n}^*$ denotes the alternative form of the Euler numbers.
Sources
- 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $\S 20$: Series for Trigonometric Functions: $20.25$
- 2009: Murray R. Spiegel, Seymour Lipschutz and John Liu: Mathematical Handbook of Formulas and Tables (3rd ed.) ... (previous) ... (next): $\S 22$: Taylor Series: Series for Trigonometric Functions: $22.25.$