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Limit involving a hypergeometric function

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#limits #special-functions
589
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Find $\int_0^\infty \frac{\ln ^2z} {1+z^2}{d}z$

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#integration #definite-integrals #special-functions #riemann-zeta
1.3k
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Definite integral involving modified bessel function of the first kind

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#calculus #special-functions
1k
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Mellin transform of digamma function

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#special-functions #integral-transforms
455
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looking for upper bound on quantity with "erf"

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#calculus #inequality #special-functions
1.2k
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Euler's infinite product for the sine function and differential equation relation

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#sequences-and-series #ordinary-differential-equations #special-functions
639
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Polylogarithm - derivative with respect to order

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#derivatives #special-functions
325
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visualizing functions invariant (or almost) under modular transformation

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#special-functions #modular-forms #visualization
425
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Hyperfactorial curiosity

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#notation #special-functions #gamma-function
720
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Calculate an infinite continued fraction

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#special-functions #continued-fractions #closed-form
1.9k
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Interesting log sine integrals $\int_0^{\pi/3} \log^2 \left(2\sin \frac{x}{2} \right)dx= \frac{7\pi^3}{108}$

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#calculus #integration #special-functions #definite-integrals
823
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More general reflection formula for Gamma function

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#special-functions #functional-equations #gamma-function
701
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Nonlinear method to solve an equation with the error function in it

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#special-functions #nonlinear-optimization #error-function
309
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Integral involving Jacobi theta functions

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#integration #summation #special-functions #approximation #elliptic-functions
369
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Special value of hypergeometric function $\, _2F_1\left(a,a+\frac{1}{3};\frac{4}{3}-a;-\frac{1}{8}\right)$

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#sequences-and-series #special-functions #gamma-function #hypergeometric-function

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