@Adri van der Meer why ''i to 10 " not "i from 1 to 10" or some different number.

@Carl Love I am getting that sum by manual addition. Can you please rewrite my program correctly to get that sum. Also can we give a restriction to the number of roots satisfying the condition that component sum is a constant.

restart; with(LinearAlgebra); with(inttrans); with(RootFinding); with(PolynomialTools); with(powseries);
Digits := 10;
10
Bstar := 3.60/(12.0+s)+14.00/(20.0+s);
3.60 14.00
-------- + --------
12.0 + s 20.0 + s
Nrot := [-23.8279785337007-4.37234259951331*I, -23.8279785337007+4.37234259951331*I, -13.8480664440518, -12.2635728941426-2.65264168833545*I, -12.2635728941426+2.65264168833545*I, -4.24998018723859];
[-23.8279785337007 - 4.37234259951331 I,

-23.8279785337007 + 4.37234259951331 I, -13.8480664440518,

-12.2635728941426 - 2.65264168833545 I,

-12.2635728941426 + 2.65264168833545 I, -4.24998018723859]
rfw := unapply(product(-Bstar*gm[i]+1, i = 1 .. 6), s);
for i to 6 do b[i] := rfw(Nrot[i]) end do;
solve({b[1] = 0, b[2] = 0, b[3] = 0, b[4] = 0, b[5] = 0, b[6] = 0}, {gm[1], gm[2], gm[3], gm[4], gm[5], gm[6]});
Warning, returning only the first 100 solutions, increase _MaxSols to see more solutions

questn.mw       

please see the attachment above for a specific example.

why my upload file is not visible

I want to get solutions in terms of a and c.

When I plot the function in Maple I didn't get the actual curve.

i.e at point t=0 I am not getting the value f(0) rather I got the value being evaluated from the function f(t) putting t=0

In my case f(0) is not equal to f(t) at t=0.

When I plot the function in Maple I didn't get the actual curve.

i.e at point t=0 I am not getting the value f(0) rather I got the value being evaluated from the function f(t) putting t=0

In my case f(0) is not equal to f(t) at t=0.

Dear sir

 I tried with that but I failed.

I got the message "Error, invalid parameters for inline function"

Dear sir

 I tried with that but I failed.

I got the message "Error, invalid parameters for inline function"

Download Assignment.mw

Thank you

Thank you

> g := taylor(f(z), z = 0, 100);

 evalf(g);
                                                 2                  3
0.02700000000 + 0.05670000000 z + 0.07938000000 z  + 0.09261000000 z 

                    4                  5                  6                  7
   + 0.09724050000 z  + 0.09529569000 z  + 0.08894264400 z  + 0.08004837960 z 

                    8                  9                  10
   + 0.07004233215 z  + 0.05992510640 z  + 0.05033708937 z  

                    11                  12                  13
   + 0.04164250121 z   + 0.03400804265 z   + 0.02746803445 z  

                    14                  15                  16
   + 0.02197442756 z   + 0.01743304586 z   + 0.01372852362 z  

                    17                   18                   19
   + 0.01074055083 z   + 0.008353761757 z   + 0.006463173570 z  

                     20                   21                   22
   + 0.004976643649 z   + 0.003815426798 z   + 0.002913598645 z  

                     23                   24                   25
   + 0.002216868535 z   + 0.001681125305 z   + 0.001270930731 z  

                      26                    27                    28
   + 0.0009580862433 z   + 0.0007203389162 z   + 0.0005402541872 z  

                      29                    30                    31
   + 0.0004042591676 z   + 0.0003018468452 z   + 0.0002249245846 z  

                      32                    33                     34
   + 0.0001672876598 z   + 0.0001241984141 z   + 0.00009205294222 z  

                       35                     36                     37
   + 0.00006811917724 z   + 0.00005033250319 z   + 0.00003713722532 z  

                       38                     39                     40
   + 0.00002736427129 z   + 0.00002013729708 z   + 0.00001480091335 z  

                       41                      42                      43
   + 0.00001086603639 z   + 0.000007968426685 z   + 0.000005837335827 z  

                        44                      45                      46
   + 0.000004271868492 z   + 0.000003123210519 z   + 0.000002281301597 z  

                        47                      48                 -7  49
   + 0.000001664864782 z   + 0.000001213963904 z   + 8.844594156 10   z  

                   -7  50                 -7  51                 -7  52
   + 6.438864546 10   z   + 4.683958326 10   z   + 3.404877399 10   z  

                   -7  53                 -7  54                 -7  55
   + 2.473354337 10   z   + 1.795472037 10   z   + 1.302533351 10   z  

                   -8  56                 -8  57                 -8  58
   + 9.443366792 10   z   + 6.842299096 10   z   + 4.954768311 10   z  

                   -8  59                 -8  60                 -8  61
   + 3.585908591 10   z   + 2.593807214 10   z   + 1.875195052 10   z  

                   -8  62                 -9  63                 -9  64
   + 1.354979650 10   z   + 9.785964141 10   z   + 7.064242864 10   z  

                   -9  65                 -9  66                 -9  67
   + 5.097122928 10   z   + 3.676106839 10   z   + 2.650088960 10   z  

                   -9  68                 -9  69                 -10  70
   + 1.909622927 10   z   + 1.375482021 10   z   + 9.903470554 10    z  

                   -10  71                 -10  72                 -10  73
   + 7.127709089 10    z   + 5.127990706 10    z   + 3.687938521 10    z  

                   -10  74                 -10  75                 -10  76
   + 2.651328775 10    z   + 1.905421613 10    z   + 1.368895001 10    z  

                   -11  77                 -11  78                 -11  79
   + 9.831155005 10    z   + 7.058265132 10    z   + 5.065868772 10    z  

                   -11  80                 -11  81                 -11  82
   + 3.634760844 10    z   + 2.607155618 10    z   + 1.869521345 10    z  

                   -11  83                 -12  84                 -12  85
   + 1.340199037 10    z   + 9.604759763 10    z   + 6.881527877 10    z  

                   -12  86                 -12  87                 -12  88
   + 4.929094387 10    z   + 3.529684831 10    z   + 2.526933458 10    z  

                   -12  89                 -12  90                 -13  91
   + 1.808602936 10    z   + 1.294155879 10    z   + 9.258192055 10    z  

                   -13  92                 -13  93                 -13  94
   + 6.621619970 10    z   + 4.734814279 10    z   + 3.384888506 10    z  

                   -13  95                 -13  96                 -13  97
   + 2.419304522 10    z   + 1.728794690 10    z   + 1.235107959 10    z  

                   -14  98                 -14  99    / 100\
   + 8.822199704 10    z   + 6.300298173 10    z   + O\z   /

how to get the coefficients as a(k)s for different values of k

@Markiyan Hirnyk 

Thank you sir for your kind help.

the problem was with the imaginary unit "I" which by wrong i ve entered "i".