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10
Math.TechQA.Club
2024-12-30 18:02:07
863
Views
Strategies for evaluating sums $\sum_{n=1}^\infty \frac{H_n^{(m)}z^n}{n}$
Published on
30 Dec 2024 - 18:02
#sequences-and-series
#definite-integrals
#closed-form
#harmonic-numbers
#polylogarithm
149
Views
An asymptotic behavior of $\operatorname{Li}_{-n}(a)$ for $n\to\infty$
Published on
12 Jan 2025 - 23:31
#combinatorics
#asymptotics
#analytic-number-theory
#conjectures
#polylogarithm
733
Views
On what domain is the dilogarithm analytic?
Published on
12 Jan 2025 - 9:42
#complex-analysis
#special-functions
#polylogarithm
449
Views
How to solve this integral: $\int_{-\infty}^\infty\frac{x^2 e^x}{(e^x+1)^2}\:dx$
Published on
12 Jan 2025 - 9:42
#integration
#definite-integrals
#riemann-zeta
#polylogarithm
317
Views
Another polylog integral
Published on
12 Jan 2025 - 17:43
#definite-integrals
#closed-form
#polylogarithm
496
Views
Trilogarithm $\operatorname{Li}_3(z)$ and the imaginary golden ratio $i\,\phi$
Published on
26 Dec 2024 - 9:38
#complex-analysis
#logarithms
#golden-ratio
#polylogarithm
#experimental-mathematics
994
Views
Series with a reciprocal of the central binomial coefficient
Published on
12 Jan 2025 - 9:42
#calculus
#sequences-and-series
#binomial-coefficients
#polylogarithm
69
Views
Convergence of some sums of complex functions
Published on
12 Jan 2025 - 9:42
#power-series
#polylogarithm
#formal-power-series
1k
Views
Closed form for $\sum_{n=0}^\infty\frac{\Gamma\left(n+\tfrac14\right)}{2^n\,(4n+1)^2\,n!}$
Published on
05 Jan 2025 - 12:15
#sequences-and-series
#hypergeometric-function
#polylogarithm
#experimental-mathematics
#polygamma
9.2k
Views
Yet another log-sin integral $\int\limits_0^{\pi/3}\log(1+\sin x)\log(1-\sin x)\,dx$
Published on
12 Jan 2025 - 9:42
#integration
#trigonometry
#definite-integrals
#logarithms
#polylogarithm
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