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Fourth derivative of a Bessel function

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#calculus #derivatives #polynomials #special-functions
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What is $\operatorname{frac(x)}$ or $\{x\}$?

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#special-functions #ceiling-and-floor-functions #fractional-part
43
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How to solve differential equation $y''(x)=y(x)\Big(1-\frac{\omega_1}{x}+\frac{\omega_2}{x^2}\Big)$

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#ordinary-differential-equations #special-functions
983
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Derivative of Legendre Polynomial

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#calculus #derivatives #special-functions #legendre-polynomials
96
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Function with the property that its derivative minus its square is a constant

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#functions #trigonometry #special-functions
926
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Integration of Legendre Polynomial

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#calculus #integration #special-functions #legendre-polynomials
699
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Heaviside step function composed with a function

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#integration #special-functions #function-and-relation-composition
88
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Help in Solving a linear Partial differential equation

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#ordinary-differential-equations #special-functions
270
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Properties of the Gamma function

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#calculus #number-theory #special-functions #gamma-function
184
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Indefinite Bessel integrals

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#integration #sequences-and-series #special-functions #indefinite-integrals #bessel-functions
75
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What are the first few values of this function?

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#elementary-number-theory #soft-question #special-functions #harmonic-numbers
13.3k
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Function expression for reverse 'S'-like shape

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#functions #special-functions
117
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$f(x+1)=f(x)+f(\alpha\cdot x)$

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#special-functions #recreational-mathematics #analyticity
328
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Closed form for ${\large\int}_0^1x\,\operatorname{li}\!\left(\frac1x\right)\ln^{1/4}\!\left(\frac1x\right)dx$

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#integration #definite-integrals #logarithms #special-functions #closed-form
642
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Conjectured closed form for $\int_0^1\frac{\operatorname{li}^4(x)}{x^4}\,dx$

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#calculus #integration #definite-integrals #special-functions #closed-form

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