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What would be the closed form of $n\cdot n + (n-2)\cdot(n-2) + (n-4)\cdot(n-4) + \dots$?

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#sequences-and-series #closed-form
109
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What is the series expansion of the $n$-th derivative of this : $\frac{d^n}{dx^n}\int{(e^{-x²})}^{\text{erf}(x)}dx$

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#sequences-and-series #derivatives #convergence-divergence #taylor-expansion #closed-form
83
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How to get a closed form for $\sum_{i=1}^n \frac{3^i}{2^i}$

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#summation #algorithms #closed-form
1.8k
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Difficult trigonometric integral. [Solved]

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#integration #trigonometry #definite-integrals #closed-form
135
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Expanding product of binomials $(z^k + z^{-k})$

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#complex-numbers #closed-form #products
186
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How to solve the given integral avoiding infinite series sum?

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#integration #definite-integrals #logarithms #closed-form #hypergeometric-function
131
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Asymptotic approximation of a sum involving log and binomial coefficient

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#summation #asymptotics #binomial-coefficients #approximation #closed-form
93
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Closed form for $\sum_{m\geq 2, n\geq 2}\frac1{m^n-1}$

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#sequences-and-series #summation #closed-form
192
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Series of binomial coefficient denominators

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#sequences-and-series #binomial-coefficients #closed-form #hypergeometric-function #beta-function
205
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Finite sum of powers of $\log(j)$

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#logarithms #closed-form
34
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Confusion on intuition for guessing a summation is a cubic

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#summation #closed-form
265
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Does this recursive function have a closed-form solution?

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#closed-form #recursion #recursive-algorithms
404
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Closed form of finite Euler sum $\sum_{k=1}^n \frac{ H_{k}}{(2k+1)}$

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#summation #closed-form #harmonic-numbers
184
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Closed form of $\sum^\infty_{n=1} \frac{\sin n}n$

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#sequences-and-series #closed-form
128
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How do I define the inverse of this function?

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#functions #arithmetic #inverse #closed-form #inverse-function

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