@dharr 

Sorry for my late response. I was searching for papers related to this issue in my investigation. I have collected many papers, but none seem to provide an explanation—or perhaps I just haven't noticed the relevant details. If any of them could be helpful for the investigation, I will send them to you via email, as I can't upload PDFs here.

also my opinion is this because of that they do this when I try denominator without having K[s] my function is singular and not give me my graph even when I change the parameter ,

additionally, in paicewise function we set j>=3 when we use series of F_3  in some of thus paper i send to you in linchaue they set j>=3 one time and another time j>=5 when they use five it mean they use sereis of F_5 after apply long wave limit to it which still i don't know how reach that but i used as known function 

Thank you so much, my favorite doctor!

@mmcdara  before a long time ago you solved one example it is same please check this and you will get the notion of topic is easy i think but need a good codinger like you

please check this link

https://www.mapleprimes.com/questions/239878-How-Collect-A-Fraction-Which-Contain

@mmcdara i am thankfull for your help, maybe my question is bad becuase i have to tag some some example with it this is my openion which we have to find R[2],R[1],R[0]  in  most of article i seen they use R diff((ln(f),x$2-1) or R diff((ln(f),x$2-1)+m which m  is unkown i have to work more on it then i will requestion this, but becuase of example is so complicate i just mention the exact work but this time i will tag some example too with it, last time you solved one example like that let me check it to find it in my questions

@mmcdara just put file of maple without showing up the mw.file, did you plot is same example before I try to use your code and mine to see have any different at end or not because by your way I can plot all by mine i can plot a few , also w[1] w[2] i think automatically calculated because is depends of parameters 

i try to plot even with calculate w[1] but still not plot 

line-plot.mw

@mmcdara i use explore but is so slow and i can't manage all parameter 
 

why always say be clear is not my fault my question is hard

@mmcdara this is good but the most importan part is where i choose parameter for make function  not be singular problem is parameters

@mmcdara i invistigate a lot becuase of that i didn't response soon
i solved a lot example and if needed i will upload the target of this finding if mentioned, about this kind finding in begin i was so happy to use this way for finding (x,y,z) but in some example which i get my result by use the old way i try to use yours too but the result is so different why? 
in begin i try for 3-dimesion  which i didn't solved yet but result is a little bit strange becuase of that i try a solved one already
i will upload the mine way and your way and watch the different !

true-one-By-me.mw

wronge-one-by_your_trail-mcdara.mw

@nm is hard for me to learn how use this notepad++ i will do by classic way...

@dharr  i did but this hapen

K:=null

i try to solved by another way but i have to make all seperate part mw to one worksheet, but a lot time this happen whoch sometime i can't make all of them to one workseet.

@mmcdara you are totally right, my question is a little bit nonsense, but let me clear my question, my individual system for solving question is complicated and is part part and some time when i can't solve by thus system i have to change my systems and this is one of them which i have to find parameter but really is hard is not easy, Dr.david before 3 month ago he solved some system like that but i think there is somestep extra and we can do more compact i will upload the (2+1)-dimesion which we solved a example like this but this is a little bit different i want come to this topic and solve each kind this type (1,2,3+1)-dimesion and generate a good system for this kind of finding parameter this i hope i made my question clear!

i don't post any i will just post in this account,  and i hope i get my answear my work is now working with maple i am very happy when i get my answear .
!# i think you friend  with  moderator tell them don't delt my question i have a 1000 question but becuase of delete question i don't ask them!

this is another equation which solved before i want apply same for this new equation and other future work 

ex.mw

@dharr  i miss your explanation , got it  thank you dear Dr

@mmcdara if in equation i didn't write like that (int(#,x=-infinity..x)) it work for me but why they use this sign of improper integral and don't different from indifinite integral.

@Kitonum  i think this is second time i ask this question but sometime mind is busy thanks so much

@acer thanks...

@mmcdara every thing are set up true but not fast for calculating by my openion is like this we did it for (1+2) dimension  but this is different is for (1+3) dimension i have to find this 

this file is different from the top it is (1+2) dimension

Line-Y-Done.mw

i want find same for (3+1)dimension but i can't what is mistake

Line-Y-Done.mw