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15
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A more general closed-form of an integral involving a square power of $\theta_4$ - function

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#integration #sequences-and-series #definite-integrals #closed-form #theta-functions
230
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Evaluate an infinite series involving the polygamma function OR first derivative of the hurwitz zeta function

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#sequences-and-series #special-functions #closed-form #polygamma
173
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How can we show that $\sum_{n=1}^{\infty}{\zeta(2n)\over a^{2n}n}=\ln\left({\pi\over a\sin({\pi\over a})}\right)$?

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#sequences-and-series #closed-form #infinite-product
90
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Closed-form for Floor Sum 2

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#summation #closed-form #ceiling-and-floor-functions
96
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Closed-form for Floor Sum 4

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#summation #closed-form #ceiling-and-floor-functions
631
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Evaluating $\int\frac{x^b}{1+x^a}~dx$ for $a,b\in\Bbb N$

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#integration #sequences-and-series #indefinite-integrals #closed-form
128
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Solve equation containing pdf and cdf of a normal distribution

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#probability #normal-distribution #closed-form
132
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Let $k$ be a fixed integer and consider the sequence $1, k, k+1, 2k, 2k+1, 3k, 3k+1, 4k, 4k+1, \dotsc$. Is there a closed form for this sequence?

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#sequences-and-series #closed-form
367
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Elementary summations of non-elementary functions

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#summation #recreational-mathematics #closed-form
173
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Reciprocal Ackermann series

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#sequences-and-series #closed-form #ackermann-function
574
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Find closed formula by changing order of summation: $\sum_{i=1}^ni3^i$

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#algebra-precalculus #summation #exponential-function #closed-form #geometric-progressions
103
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Question regarding simple transformation in chapter 3.5 (Floor/Ceiling Sums) of Concrete Mathematics

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#summation #closed-form #ceiling-and-floor-functions
462
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How do I find the closed sum?

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#closed-form
97
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Deriving a formula for the lower-bound of rotating a sequence

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#sequences-and-series #combinatorics #prime-numbers #closed-form #rotations
97
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$\int_{0}^{x} t^tdt$

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#calculus #real-analysis #integration #closed-form

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