Question

If $r>0$ and $r\notin \mathbb{N}$, is there a simple method to evaluate $ \sum_{n=\lceil r \rceil}^{\infty} {\binom{n}{r}^{-1}}?$

score 86 · Answer 1 · 2020-12-12 18:49:42

86

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If $r>0$ and $r\notin \mathbb{N}$, is there a simple method to evaluate $ \sum_{n=\lceil r \rceil}^{\infty} {\binom{n}{r}^{-1}}?$

Published on 12 Dec 2020 - 18:49

score 134 · Answer 2 · 2026-04-10 05:15:55

134

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One-dimensional Integral

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score 52 · Answer 3 · 2026-04-10 20:28:57

52

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Is this integral incomplete gamma function?

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score 36 · Answer 4 · 2020-12-14 11:44:02

36

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score 107 · Answer 5 · 2026-04-10 17:57:03

107

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Approximate solution of $\Gamma(z)=n\,i$

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score 127 · Answer 6 · 2026-03-25 13:53:01

127

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score 241 · Answer 7 · 2020-12-16 13:54:12

241

Views

prove that $E(X^{n}) = 0 $

Published on 16 Dec 2020 - 13:54

score 2.5k · Answer 8 · 2026-04-10 13:03:08

2.5k

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How to find the value of $\Gamma (0^+)$?

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score 235 · Answer 9 · 2026-03-30 21:46:43

235

Views

Incomplete gamma function continued fraction converges initially to wrong value

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score 108 · Answer 10 · 2026-03-26 01:04:48

108

Views

Why does $\operatorname{Im}\psi\left(\frac{1}{2}+i x\right)=\frac{\pi}{2}\tanh(\pi x)$, and what can be said of the real part?

Published on 26 Mar 2026 - 1:04

score 55 · Answer 11 · 2020-12-20 07:06:11

55

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I am using it in my m.phil research so it is very vital for me to Evaluating $\sum_{n=0}^\infty\frac1{\Gamma(n/2+2)}$

Published on 20 Dec 2020 - 7:06

score 134 · Answer 12 · 2026-04-04 06:05:25

134

Views

How to prove this identity: $4\cdot(\frac12)!=\pi$

Published on 04 Apr 2026 - 6:05

score 79 · Answer 13 · 2020-12-21 08:25:42

79

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gammas division

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score 226 · Answer 14 · 2020-12-24 09:18:35

226

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The special function $P(s)=\int^\infty_0 \frac{\ln(x)dx}{1+x^s}$

Published on 24 Dec 2020 - 9:18

score 89 · Answer 15 · 2026-03-26 14:17:38

89

Views

Is the following gamma function integral correct?

Published on 26 Mar 2026 - 14:17

List Question

If $r>0$ and $r\notin \mathbb{N}$, is there a simple method to evaluate $ \sum_{n=\lceil r \rceil}^{\infty} {\binom{n}{r}^{-1}}?$

One-dimensional Integral

Is this integral incomplete gamma function?

How do I evaluate this gamma function integral?

Approximate solution of $\Gamma(z)=n\,i$

On determining the constant term in Stirling's approximation

prove that $E(X^{n}) = 0 $

How to find the value of $\Gamma (0^+)$?

Incomplete gamma function continued fraction converges initially to wrong value

Why does $\operatorname{Im}\psi\left(\frac{1}{2}+i x\right)=\frac{\pi}{2}\tanh(\pi x)$, and what can be said of the real part?

I am using it in my m.phil research so it is very vital for me to Evaluating $\sum_{n=0}^\infty\frac1{\Gamma(n/2+2)}$

How to prove this identity: $4\cdot(\frac12)!=\pi$

gammas division

The special function $P(s)=\int^\infty_0 \frac{\ln(x)dx}{1+x^s}$

Is the following gamma function integral correct?

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