User Sergei

15 votes

Sum of series $a^{i^2}$

answered Jul 4, 2014 at 12:22

9 votes

Recognize this sum

answered Apr 14, 2014 at 5:25

8 votes

Positivity of certain Fourier transform

answered Dec 6, 2016 at 16:26

7 votes

Kuznetsov trace formula, orthogonality of Bessel functions

answered Jul 9, 2018 at 16:59

7 votes

Accepted

A (likely) positivity property of the Lerch zeta-function

answered May 8, 2015 at 5:55

6 votes

Helly's theorem in other areas of mathematics

answered May 27, 2015 at 19:12

5 votes

Evaluating elliptic integrals

answered Oct 16, 2015 at 5:18

5 votes

Is this a rational function?

answered Jun 1, 2015 at 17:09

5 votes

Accepted

Variations on the Mellin and Dirichlet transforms

answered May 11, 2015 at 14:43

5 votes

Accepted

Asymptotic form of the Gauß Hypergeometric function 2F1 for three parameters approaching infinity

answered Apr 5, 2014 at 19:00

3 votes

Logarithm of the hypergeometric function

answered Apr 6, 2014 at 7:00

3 votes

Accepted

Legendre Q(n,x) function coefficients in terms of P(n,x) coefficients

answered Sep 6, 2014 at 19:45

3 votes

A new generalisation of Fermat's little theorem?

answered Jun 13, 2015 at 3:40

3 votes

Inverse Laplace transform of a hypergeometric function

answered Feb 6, 2016 at 16:09

2 votes

Accepted

A book about almost periodic functions

answered Sep 6, 2014 at 20:03

2 votes

Hypergeometric sum specific value

answered Apr 14, 2014 at 18:41

2 votes

Accepted

Laplace transform of : $t^{\gamma-1} F(\alpha,\beta,\delta,t)$, where $F$ is the Gauss' hypergeometric function

answered Jul 4, 2014 at 12:04

2 votes

Proof of the "Neo-classical Inequality", a fractional extension of the binomial theorem

answered Apr 9, 2014 at 19:13

2 votes

Sharp upper bounds on hypergeometric function ${}_2F_1[a,b,c;z]$ when $|z|\geq1$

answered Jul 31, 2014 at 14:17

2 votes

Accepted

Estimate of a ratio of two incomplete gamma functions

answered Aug 22, 2014 at 17:34

2 votes

What function is "$U_{\nu}(\cdot, \cdot)$"?

answered Oct 4, 2014 at 5:08

2 votes

Fourier transform of $sin(\frac{1}{x})$ for $x > 0 (x > 1)$

answered Dec 13, 2014 at 20:58

1 vote

Error of Discrete Fourier Transform on Finite Domain (vs. Continuous FT) in terms of Sobolev order

answered Dec 15, 2014 at 6:07

1 vote

Inequality for a gamma function

answered Apr 8, 2014 at 14:11

1 vote

Conjectured bound on Kummer's function (confluent hypergeometric function)

answered Apr 6, 2014 at 8:07

1 vote

A "quadratic" triangular inequality

answered Mar 28, 2015 at 19:14

1 vote

Is there any simpler form of this function

answered Mar 29, 2015 at 5:59

1 vote

Accepted

Derivative in terms of finite differences

answered Jul 28, 2015 at 5:50

1 vote

Reference for Bessel's interpolation formula

answered Oct 11, 2015 at 12:45

1 vote

Integral involving exponential and Marcum-Q function

answered Oct 3, 2014 at 6:43

Stack Exchange Network

42 Answers

Sum of series $a^{i^2}$

Recognize this sum

Positivity of certain Fourier transform

Kuznetsov trace formula, orthogonality of Bessel functions

A (likely) positivity property of the Lerch zeta-function

Helly's theorem in other areas of mathematics

Evaluating elliptic integrals

Is this a rational function?

Variations on the Mellin and Dirichlet transforms

Asymptotic form of the Gauß Hypergeometric function 2F1 for three parameters approaching infinity

Logarithm of the hypergeometric function

Legendre Q(n,x) function coefficients in terms of P(n,x) coefficients

A new generalisation of Fermat's little theorem?

Inverse Laplace transform of a hypergeometric function

A book about almost periodic functions

Hypergeometric sum specific value

Laplace transform of : $t^{\gamma-1} F(\alpha,\beta,\delta,t)$, where $F$ is the Gauss' hypergeometric function

Proof of the "Neo-classical Inequality", a fractional extension of the binomial theorem

Sharp upper bounds on hypergeometric function ${}_2F_1[a,b,c;z]$ when $|z|\geq1$

Estimate of a ratio of two incomplete gamma functions

What function is "$U_{\nu}(\cdot, \cdot)$"?

Fourier transform of $sin(\frac{1}{x})$ for $x > 0 (x > 1)$

Error of Discrete Fourier Transform on Finite Domain (vs. Continuous FT) in terms of Sobolev order

Inequality for a gamma function

Conjectured bound on Kummer's function (confluent hypergeometric function)

A "quadratic" triangular inequality

Is there any simpler form of this function

Derivative in terms of finite differences

Reference for Bessel's interpolation formula

Integral involving exponential and Marcum-Q function