List questions from special-functions

Published on 04 Dec 2015 - 3:46

62

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Express the indefinite integral $\int e^{-x^2}dx$ using function $\Phi(x)$.

Published on 06 Dec 2015 - 16:16

434

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Exact solution of an simple Meijer-G function

Published on 08 Dec 2015 - 13:42

263

Views

Finding a particular solution for $\frac{\mathrm{d}^2R}{\mathrm{d}r^2}+\frac1r\frac{\mathrm{d}R}{\mathrm{d}r}+\alpha^2R=J_0(\alpha r)$

Published on 01 Apr 2026 - 12:51

76

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Building a non decreasing function from any other function

Published on 11 Dec 2015 - 9:27

86

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explicit formula for $ _2F_2(1,1;2;2;z) $

Published on 11 Dec 2015 - 22:06

178

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Computing the Integral $\int r^2 \text{J}_0(\alpha r) \text{I}_1(\beta r)\text{d}r$

Published on 01 Apr 2026 - 12:49

39

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Is there a name for the linear maps $u_i: E_i \to \prod_k E_k$ defined by $u_i(t) = (0,...,0,t,0,...,0)$?

Published on 13 Dec 2015 - 11:37

108

Views

Calculate $‎\lim‎_{ ‎r\rightarrow ‎\infty‎}‎‎\frac{\Gamma(r\alpha)}{\Gamma((r+1)\alpha)}‎‎$

Published on 05 Apr 2026 - 19:10

81

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Norm of the inverse of a map $\ell^2\to\ell^2$

Published on 14 Dec 2015 - 3:30

8.7k

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Is there a function whose antiderivative can be found but whose derivative cannot?

Published on 14 Dec 2015 - 14:50

1.8k

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Elliptic functions as inverses of Elliptic integrals

Published on 26 Mar 2026 - 22:18

587

Views

Is there a special value for $\frac{\zeta'(2)}{\zeta(2)} $?

Published on 29 Mar 2026 - 6:33

222

Views

Confusing solution to the limit of an implicit function?

Published on 16 Dec 2015 - 11:17

92

Views

Find out $n$-th term of monotonic functions increasing and decreasing

Published on 03 Apr 2026 - 17:52

List Question

integral form of special function

Express the indefinite integral $\int e^{-x^2}dx$ using function $\Phi(x)$.

Exact solution of an simple Meijer-G function

Finding a particular solution for $\frac{\mathrm{d}^2R}{\mathrm{d}r^2}+\frac1r\frac{\mathrm{d}R}{\mathrm{d}r}+\alpha^2R=J_0(\alpha r)$

Building a non decreasing function from any other function

explicit formula for $ _2F_2(1,1;2;2;z) $

Computing the Integral $\int r^2 \text{J}_0(\alpha r) \text{I}_1(\beta r)\text{d}r$

Is there a name for the linear maps $u_i: E_i \to \prod_k E_k$ defined by $u_i(t) = (0,...,0,t,0,...,0)$?

Calculate $‎\lim‎_{ ‎r\rightarrow ‎\infty‎}‎‎\frac{\Gamma(r\alpha)}{\Gamma((r+1)\alpha)}‎‎$

Norm of the inverse of a map $\ell^2\to\ell^2$

Is there a function whose antiderivative can be found but whose derivative cannot?

Elliptic functions as inverses of Elliptic integrals

Is there a special value for $\frac{\zeta'(2)}{\zeta(2)} $?

Confusing solution to the limit of an implicit function?

Find out $n$-th term of monotonic functions increasing and decreasing

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