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Hyperbolic tangent integral $ \int_{-\infty} ^{\infty} e^{i x \frac h k} \tanh x \ dx$

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#calculus #integration #definite-integrals #improper-integrals #hyperbolic-functions
384
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Can hyperbolic functions be interpreted in terms of a circle?

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#trigonometry #reference-request #hyperbolic-functions
341
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Derivative of hyperbolic function: $\;\displaystyle f(x) = \sinh \left(\cosh \left(x^9\right)\right) \,$

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#calculus #ordinary-differential-equations #derivatives #hyperbolic-functions #substitution
65
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Integration involving hyperbolic functions

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#hyperbolic-functions
1.5k
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Absolute value of hyperbolic function

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#complex-numbers #hyperbolic-functions
5.7k
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When can sinh(x) and cosh(x) be equal?

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#hyperbolic-functions
182
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What is the range of this function: (sin(x)+tanh(x))/(1+sin(x)tanh(x))?

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#calculus #functions #trigonometry #hyperbolic-functions
310
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Hyperbolic Trig Inequality

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#inequality #hyperbolic-functions
715
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Examples of integrals found using hyperbolic substitutions

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#integration #trigonometry #hyperbolic-functions
811
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What are all functions of the form $\frac{\cosh(\alpha x)}{\cosh x+c}$ self-reciprocal under Fourier transform?

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#reference-request #definite-integrals #fourier-analysis #hyperbolic-functions #zeta-functions
292
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Closed form for finite sum of ${\rm csch}^2$

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#summation #closed-form #hyperbolic-functions
47
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Integration of complicated hyperbolic functions

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#integration #partial-derivative #hyperbolic-functions
148
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Explicit Form for Coefficients of Extended Hyperbolic Secant Function

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#sequences-and-series #proof-verification #summation #power-series #hyperbolic-functions
159
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Evaluating Hyperbolic Cotangent (coth) Integral

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#integration #definite-integrals #physics #hyperbolic-functions
54
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Lateral limits of function involving hyperbolic trignometric functions

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#limits #hyperbolic-functions

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