functions related to the Hurwitz zeta function

functions related to the Hurwitz zeta function

[Jerome BENOIT]

Greetings,

I have write within the GSL framework,
some functions related to the Hurwitz zeta function:
first and second derivatives, its logarithm  and its logarithmic derivative.

These functions are needed to fit properly discrete power law distributions [1].

I think that there is a place for them  (along a plfit material) in GSL:
what is the procedure to follow ton bring them in GSL  ?


Best regards,
Jerome


[1]
@ARTICLE{AClausetCRShaliziMEJNewman2009,
	author   = {Aaron Clauset and Cosma Rohilla Shalizi and Mark E. J. Newman},
	title    = {Power-Law Distributions in Empirical Data},
	journal  = "SIAM Rev.",
	year     = {2009},
	volume   = {51},
	number   = {4},
	pages    = {661--703},
	numpages = {43},
	archivePrefix = ARXIV,
	eprint   = {0706.1062},
	doi      = {10.1137/070710111},
	website  = {http://tuvalu.santafe.edu/~aaronc/powerlaws/},
}

Re: functions related to the Hurwitz zeta function

[Patrick Alken]

Hello Jerome,

   Sorry for the late reply. Could you prepare a patch against the 
latest master branch of the GSL git with your additions? Then I can take 
a look to see how this might fit in. It would be best to follow the API 
of the existing special functions in GSL as closely as possible.

Thanks,
Patrick

On 04/03/2018 09:35 PM, Jerome BENOIT wrote:
> Greetings,
>
> I have write within the GSL framework,
> some functions related to the Hurwitz zeta function:
> first and second derivatives, its logarithm  and its logarithmic derivative.
>
> These functions are needed to fit properly discrete power law distributions [1].
>
> I think that there is a place for them  (along a plfit material) in GSL:
> what is the procedure to follow ton bring them in GSL  ?
>
>
> Best regards,
> Jerome
>
>
> [1]
> @ARTICLE{AClausetCRShaliziMEJNewman2009,
> 	author   = {Aaron Clauset and Cosma Rohilla Shalizi and Mark E. J. Newman},
> 	title    = {Power-Law Distributions in Empirical Data},
> 	journal  = "SIAM Rev.",
> 	year     = {2009},
> 	volume   = {51},
> 	number   = {4},
> 	pages    = {661--703},
> 	numpages = {43},
> 	archivePrefix = ARXIV,
> 	eprint   = {0706.1062},
> 	doi      = {10.1137/070710111},
> 	website  = {http://tuvalu.santafe.edu/~aaronc/powerlaws/},
> }

Re: functions related to the Hurwitz zeta function

[Jerome BENOIT]

Hello Patrick,

thanks for your reply.

On 08/05/18 23:08, Patrick Alken wrote:
> Hello Jerome,
> 
> Sorry for the late reply. Could you prepare a patch against the
> latest master branch of the GSL git with your additions?

I will submit my material as soon as I have some free time. 


 Then I can
> take a look to see how this might fit in.

Fine.

 It would be best to follow
> the API of the existing special functions in GSL as closely as
> possible.

I implemented a long this line.

Best wishes,
Jerome

> 
> Thanks, Patrick
> 
> On 04/03/2018 09:35 PM, Jerome BENOIT wrote:
>> Greetings,
>> 
>> I have write within the GSL framework, some functions related to
>> the Hurwitz zeta function: first and second derivatives, its
>> logarithm  and its logarithmic derivative.
>> 
>> These functions are needed to fit properly discrete power law
>> distributions [1].
>> 
>> I think that there is a place for them  (along a plfit material) in
>> GSL: what is the procedure to follow ton bring them in GSL  ?
>> 
>> 
>> Best regards, Jerome
>> 
>> 
>> [1] @ARTICLE{AClausetCRShaliziMEJNewman2009, author   = {Aaron
>> Clauset and Cosma Rohilla Shalizi and Mark E. J. Newman}, title
>> = {Power-Law Distributions in Empirical Data}, journal  = "SIAM
>> Rev.", year     = {2009}, volume   = {51}, number   = {4}, pages
>> = {661--703}, numpages = {43}, archivePrefix = ARXIV, eprint   =
>> {0706.1062}, doi      = {10.1137/070710111}, website  =
>> {http://tuvalu.santafe.edu/~aaronc/powerlaws/}, }
> 
>