HSN Hyperbolic Sine
HSN.1 Introduction |
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Let
be a complex variable of
.The function Hyperbolic Sine (noted
) is defined by the following second order differential equation
| HSN.1.1 |
The initial conditions of HSN.1.1 are given at
by
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HSN.1.2 |
Related function: Hyperbolic Cosine
HSN.2 Series and asymptotic expansions |
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HSN.2.1 Taylor expansion at
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HSN.2.1.2 General form |
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HSN.2.1.2.1 |

| HSN.2.1.2.2 |
| HSN.2.1.2.3 |
| HSN.2.1.2.4 |
HSN.2.2 Asymptotic expansion at
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HSN.2.2.1 Exact form |
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