List questions from closed-form

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What is $\sum_{r=1}^n\frac{1}{r^2}$?

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Rewrite $\int\limits_{y=0}^p{2{{({\frac{a}{y}})}^{\frac{M}{2}}}{K_M}({2\sqrt{\frac{b}{y}}})\exp({-\frac{y}{c}})dy}$ as non-elementary function?

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Determining the optimal solution for a given function

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Closed form for $1-2+3-4+\cdots(-1)^{n-1}n$

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definite integral. closed form?

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List Question

Solve for closed form $a_j$ given $a_j = 1 + pa_{j+1} + (1-p)a_{j-1}$ where $a_1 = 0$.

Finding the Closed Form of a Multivariable Exponential Summation

Integrals of powers of damped saw-tooth wave

What is $\sum_{r=1}^n\frac{1}{r^2}$?

Rewrite $\int\limits_{y=0}^p{2{{({\frac{a}{y}})}^{\frac{M}{2}}}{K_M}({2\sqrt{\frac{b}{y}}})\exp({-\frac{y}{c}})dy}$ as non-elementary function?

Finding the closed form of a recursive sequence

Closed-form for $ \sum_{n=0}^{\infty} \frac{x^n}{n!}n^p, $ where $p\in\mathbb{N}$

How do I use a known pattern to get a closed formula for a sequence?

Integration of a Bessel function times a sine function times a polynomial

$T(n)=4T(n/3)+n\log_2(n)$

Determining the optimal solution for a given function

Closed form for $1-2+3-4+\cdots(-1)^{n-1}n$

Integrating partial Weierstrass products of $\sin(x)$ divided by $\sin(x)$

Why this recursion is the same as OEIS sequence A005252

definite integral. closed form?

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