User Przemo

9 votes

4 answers

691 views

Gauge transformation of differential equations.

asked Oct 12, 2018 at 16:02

8 votes

2 answers

310 views

Is $\zeta(6,2)$ the lowest multiple zeta function that cannot be expressed in terms of single zeta values?

asked May 24, 2017 at 17:50

8 votes

1 answer

5k views

A list of Multiple Zeta values of depth three

asked Jun 15, 2017 at 17:03

7 votes

1 answer

261 views

What is $\sum\limits_{m=1}^\infty \frac{H_m}{m^6} \cdot (\frac{1}{2})^m$?

asked Dec 21, 2017 at 12:35

6 votes

2 answers

158 views

On a certain integral that involves a product of powers of logarithms.

asked Dec 15, 2017 at 16:16

6 votes

1 answer

797 views

An integral involving error functions and a Gaussian

asked Jul 14, 2017 at 15:29

6 votes

2 answers

456 views

Generating function for cubes of Harmonic numbers

asked Aug 25, 2016 at 17:58

6 votes

2 answers

592 views

Is there a closed form expression for $1 + x + x^{4} + x^{9}+x^{16}+x^{25} +..+x^{k^2}$?

asked Oct 9, 2013 at 10:37

6 votes

2 answers

303 views

Limit behavior of a definite integral that depends on a parameter.

asked Jul 30, 2015 at 17:11

6 votes

1 answer

89 views

A curious identity involving the Appell hypergeometric series.

asked Dec 22, 2021 at 18:43

5 votes

1 answer

97 views

The probability density function of a certain diffusion process in a particular limit.

asked Jan 19, 2023 at 18:14

5 votes

0 answers

215 views

Yet another multivariable integral over a simplex

asked Oct 28, 2014 at 15:59

5 votes

1 answer

216 views

An integral containing a product of logarithms and a polylogarithm

asked Jun 19, 2017 at 16:38

5 votes

0 answers

115 views

An integral involving powers of logarithms and a dilogarithm.

asked May 30, 2017 at 16:54

5 votes

1 answer

395 views

Hunt for exact solutions of second order ordinary differential equations with varying coefficients.

asked Sep 28, 2018 at 17:40

5 votes

1 answer

504 views

An integral involving a Gaussian and an Owen's T function.

asked May 10, 2018 at 19:07

4 votes

0 answers

79 views

An anti-derivative of a product of three poly-logarithms and a simple fraction.

asked Jan 12, 2018 at 12:24

4 votes

1 answer

135 views

What special functions do we need to get a closed form for $\sum\limits_{n=0}^\infty \frac{2^{n+1}}{\binom{2 n}{n}} \cdot \frac{1}{(2n+1)^p}$?

asked Sep 6, 2017 at 12:54

4 votes

1 answer

149 views

Closed form solution of a hypergeometric sum.

asked Jul 11, 2016 at 13:38

4 votes

4 answers

91 views

Transition probability density function for a non-trivial diffusion process.

asked Apr 5 at 15:14

4 votes

1 answer

1k views

Generalized Owen's T function

asked Jan 25, 2019 at 19:13

4 votes

0 answers

75 views

Can every Gaussian integral be reduced to elementary functions and poly-logarithms only?

asked Feb 27, 2019 at 17:39

3 votes

0 answers

68 views

Solving linear ordinary, 2nd order differential equations via global integral bases.

asked Jan 4, 2019 at 18:26

3 votes

1 answer

49 views

The distribution of the first hitting time for the Constant Elasticity of Variance process.

asked Mar 28 at 18:09

3 votes

1 answer

92 views

An improper integral involving a product of a shifted Gaussian and a fraction

asked Jan 9, 2023 at 13:50

3 votes

1 answer

137 views

A multidimensional integral involving an exponential and power functions over a simplex.

asked Apr 17, 2023 at 11:33

3 votes

2 answers

230 views

The distribution of the first hitting time for a generic linear diffusion.

asked Feb 21, 2023 at 18:54

3 votes

1 answer

162 views

An integral involving a the dilogarithmic function

asked Aug 15, 2016 at 18:22

3 votes

1 answer

120 views

A certain multidimensional integral.

asked Apr 22, 2016 at 14:21

3 votes

0 answers

90 views

Bizarre differential identity.

asked Mar 26, 2015 at 18:22

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216 Questions

Gauge transformation of differential equations.

Is $\zeta(6,2)$ the lowest multiple zeta function that cannot be expressed in terms of single zeta values?

A list of Multiple Zeta values of depth three

What is $\sum\limits_{m=1}^\infty \frac{H_m}{m^6} \cdot (\frac{1}{2})^m$?

On a certain integral that involves a product of powers of logarithms.

An integral involving error functions and a Gaussian

Generating function for cubes of Harmonic numbers

Is there a closed form expression for $1 + x + x^{4} + x^{9}+x^{16}+x^{25} +..+x^{k^2}$?

Limit behavior of a definite integral that depends on a parameter.

A curious identity involving the Appell hypergeometric series.

The probability density function of a certain diffusion process in a particular limit.

Yet another multivariable integral over a simplex

An integral containing a product of logarithms and a polylogarithm

An integral involving powers of logarithms and a dilogarithm.

Hunt for exact solutions of second order ordinary differential equations with varying coefficients.

An integral involving a Gaussian and an Owen's T function.

An anti-derivative of a product of three poly-logarithms and a simple fraction.

What special functions do we need to get a closed form for $\sum\limits_{n=0}^\infty \frac{2^{n+1}}{\binom{2 n}{n}} \cdot \frac{1}{(2n+1)^p}$?

Closed form solution of a hypergeometric sum.

Transition probability density function for a non-trivial diffusion process.

Generalized Owen's T function

Can every Gaussian integral be reduced to elementary functions and poly-logarithms only?

Solving linear ordinary, 2nd order differential equations via global integral bases.

The distribution of the first hitting time for the Constant Elasticity of Variance process.

An improper integral involving a product of a shifted Gaussian and a fraction

A multidimensional integral involving an exponential and power functions over a simplex.

The distribution of the first hitting time for a generic linear diffusion.

An integral involving a the dilogarithmic function

A certain multidimensional integral.

Bizarre differential identity.