Dtjytyk

Do I really need to have a message in a novel to appeal to readers?

What's the meaning of "fortified infraction restraint"?

What order were files/directories output in dir?

Significance of Cersei's obsession with elephants?

How were pictures turned from film to a big picture in a picture frame before digital scanning?

Converted a Scalar function to a TVF function for parallel execution-Still running in Serial mode

What initially awakened the Balrog?

How did Fremen produce and carry enough thumpers to use Sandworms as de facto Ubers?

What does it mean that physics no longer uses mechanical models to describe phenomena?

What's the difference between the capability remove_users and delete_users?

Should a wizard buy fine inks every time he want to copy spells into his spellbook?

In musical terms, what properties are varied by the human voice to produce different words / syllables?

Has negative voting ever been officially implemented in elections, or seriously proposed, or even studied?

Can a new player join a group only when a new campaign starts?

What makes a man succeed?

Is multiple magic items in one inherently imbalanced?

How do I find out the mythology and history of my Fortress?

Why is it faster to reheat something than it is to cook it?

What to do with repeated rejections for phd position

One-one communication

Why do early math courses focus on the cross sections of a cone and not on other 3D objects?

Trademark violation for app?

What is the meaning of 'breadth' in breadth first search?

How to report t statistic from R

Integral relate to Hahn polynomial

0

$begingroup$

I try to calculate te following integral
$$int_{-infty }^{infty } frac{e^{x z} left(text{sech}^2right(pi x) ) Gamma left(n+frac{i x}{2}+frac{1}{2}right)}{2 Gamma left(frac{i x}{2}+frac{1}{2}right)} , dx $$
I try to use Nassalla-Raman integral

and Mellin convolution but I get no result.

Thanks in advance

calculus

share|cite|improve this question

edited Mar 25 at 18:25

Bernard

124k742117

asked Mar 25 at 17:28

capea perezcapea perez

335

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  What are the conditions on $z$ and $n$? For nice $z$ and $n$, substituting $x = -2 i t$ and reducing all factors to $Gamma(a_k pm t)$ gives the definition of the Meijer G-function.
  $endgroup$
  – Maxim
  Mar 25 at 22:41
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Thanks @Maxim , good idea ,This type of orthogonal polynomials those of hanh and those of wilsom used to accelerate representations of functions, use many degrees of freedom and are not very fast like the classic ones making them few useful, but only theoretical and diicult to calculate
  $endgroup$
  – capea perez
  Mar 26 at 17:49
  
  
  

  
  
  
  

add a comment | 

0

$begingroup$

I try to calculate te following integral
$$int_{-infty }^{infty } frac{e^{x z} left(text{sech}^2right(pi x) ) Gamma left(n+frac{i x}{2}+frac{1}{2}right)}{2 Gamma left(frac{i x}{2}+frac{1}{2}right)} , dx $$
I try to use Nassalla-Raman integral

and Mellin convolution but I get no result.

Thanks in advance

calculus

share|cite|improve this question

edited Mar 25 at 18:25

Bernard

124k742117

asked Mar 25 at 17:28

capea perezcapea perez

335

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  What are the conditions on $z$ and $n$? For nice $z$ and $n$, substituting $x = -2 i t$ and reducing all factors to $Gamma(a_k pm t)$ gives the definition of the Meijer G-function.
  $endgroup$
  – Maxim
  Mar 25 at 22:41
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Thanks @Maxim , good idea ,This type of orthogonal polynomials those of hanh and those of wilsom used to accelerate representations of functions, use many degrees of freedom and are not very fast like the classic ones making them few useful, but only theoretical and diicult to calculate
  $endgroup$
  – capea perez
  Mar 26 at 17:49
  
  
  

  
  
  
  

add a comment | 

$begingroup$

I try to calculate te following integral
$$int_{-infty }^{infty } frac{e^{x z} left(text{sech}^2right(pi x) ) Gamma left(n+frac{i x}{2}+frac{1}{2}right)}{2 Gamma left(frac{i x}{2}+frac{1}{2}right)} , dx $$
I try to use Nassalla-Raman integral

and Mellin convolution but I get no result.

Thanks in advance

calculus

share|cite|improve this question

edited Mar 25 at 18:25

Bernard

124k742117

asked Mar 25 at 17:28

capea perezcapea perez

335

$endgroup$

share|cite|improve this question

edited Mar 25 at 18:25

Bernard

124k742117

asked Mar 25 at 17:28

capea perezcapea perez

335

share|cite|improve this question

edited Mar 25 at 18:25

Bernard

124k742117

asked Mar 25 at 17:28

capea perezcapea perez

335

edited Mar 25 at 18:25

Bernard

124k742117

edited Mar 25 at 18:25

Bernard

124k742117

asked Mar 25 at 17:28

capea perezcapea perez

335

asked Mar 25 at 17:28

capea perezcapea perez

335