List questions from special-functions

Published on 16 Apr 2026 - 12:19

102

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for $abs(Re(z))>\frac{1}{3}$ : $ Sign( Re(f(a+bi))) = Sign( Re(a)) $?

Published on 15 Apr 2026 - 17:20

806

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Why $w_i=\pi/n$ Chebyshev–Gauss quadrature?

Published on 11 Apr 2026 - 20:39

34

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Return result not in terms of hypergeometric functions

Published on 11 Apr 2026 - 13:22

194

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Integrals of combinations of exponential, trigonometric and irrational functions

Published on 15 Apr 2026 - 11:29

41

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Integrate Jacobi polynomials $w_{a+\epsilon,b}(x)P^{a,b}_k(x)P^{a,b}_l(x)$ with slightly modified weight

Published on 17 Apr 2026 - 6:55

84

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Upper bounding a function of incomplete gamma function

Published on 11 Apr 2026 - 20:15

75

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Complex solutions for $\Gamma(x)=-x$

Published on 12 Apr 2026 - 21:35

357

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Asymptotic expansion of q-Pochhammer symbol near q = 1

Published on 26 Mar 2026 - 11:17

193

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Stirling's formula for derivatives of the Gamma function

Published on 12 Apr 2026 - 3:01

135

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Evaluate $\sum_{n\geq 0} \frac{1}{64^n(2n+1)}\left[\frac{{4n\choose 2n}}{{2n\choose n}}\right]$

Published on 17 Apr 2026 - 2:48

113

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Is there a closed form of $\sum_{n=1}^{\infty} \frac{\sqrt{n} } {e^{2 \pi n}-1}$?

Published on 13 Apr 2026 - 6:34

175

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Defining the Jacobi amplitude when the elliptic module is greater than 1

Published on 13 Apr 2026 - 5:39

73

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Monotonicity of a function involving Mittag-Leffler Function

Published on 12 Apr 2026 - 3:01

163

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Asymptotics of the incomplete gamma function

Published on 14 Apr 2026 - 14:32

List Question

Validity of $\ln z=\frac{\pi}{\operatorname{AGP}(\theta_2^2(1/z),\theta_3^2(1/z))}$

for $abs(Re(z))>\frac{1}{3}$ : $ Sign( Re(f(a+bi))) = Sign( Re(a)) $?

Why $w_i=\pi/n$ Chebyshev–Gauss quadrature?

Return result not in terms of hypergeometric functions

Integrals of combinations of exponential, trigonometric and irrational functions

Integrate Jacobi polynomials $w_{a+\epsilon,b}(x)P^{a,b}_k(x)P^{a,b}_l(x)$ with slightly modified weight

Upper bounding a function of incomplete gamma function

Complex solutions for $\Gamma(x)=-x$

Asymptotic expansion of q-Pochhammer symbol near q = 1

Stirling's formula for derivatives of the Gamma function

Evaluate $\sum_{n\geq 0} \frac{1}{64^n(2n+1)}\left[\frac{{4n\choose 2n}}{{2n\choose n}}\right]$

Is there a closed form of $\sum_{n=1}^{\infty} \frac{\sqrt{n} } {e^{2 \pi n}-1}$?

Defining the Jacobi amplitude when the elliptic module is greater than 1

Monotonicity of a function involving Mittag-Leffler Function

Asymptotics of the incomplete gamma function

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