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edited Apr 9, 2016 at 17:09

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I want to use of collect for this code:

x^\[Alpha]x^α (9/(100 \[Alpha]α \[Kappa]κ Gamma[\[Alpha]]Gamma[α]) - x/(
    100 (\[Alpha]α + \[Alpha]^2α^2) \[Kappa]κ Gamma[\[Alpha]]Gamma[α]) - Subscript[
    a, 0]/(\[Alpha]α Gamma[\[Alpha]]Gamma[α])) + 
 x^(2 \[Alpha]α) ((
    2^(2 - 2 \[Alpha]α)
      Cos[\[Pi]Cos[π \[Alpha]]α] Gamma[1/2 - \[Alpha]]α] Subscript[a, 0])/(
    5 Sqrt[\[Pi]]Sqrt[π] \[Alpha]α \[Kappa]κ Gamma[\[Alpha]]Gamma[α]) - (
    x Subscript[a, 0])/(10 \[Kappa]κ Gamma[2 + 2 \[Alpha]]α]) - (
    x Gamma[2 + \[Alpha]]α] Subscript[a, 0])/(
    10 \[Alpha]α \[Kappa]κ Gamma[\[Alpha]]Gamma[α] Gamma[2 + 2 \[Alpha]]α]) - (
    2^(-2 \[Alpha]α) Sqrt[\[Pi]]Sqrt[π] Subscript[a, 1])/
    Gamma[1/2 + \[Alpha]]α])

so that we have power to form of

x   x^\[Alpha]x^α   x^\[2Alpha]x^(2α)  x^\[3Alpha]x^(3α)  ...

that

I have reviewed these answers Collect1 collect2 but I did not understand. Any suggestion?

I want to use of collect for this code:

x^\[Alpha] (9/(100 \[Alpha] \[Kappa] Gamma[\[Alpha]]) - x/(
    100 (\[Alpha] + \[Alpha]^2) \[Kappa] Gamma[\[Alpha]]) - Subscript[
    a, 0]/(\[Alpha] Gamma[\[Alpha]])) + 
 x^(2 \[Alpha]) ((
    2^(2 - 2 \[Alpha])
      Cos[\[Pi] \[Alpha]] Gamma[1/2 - \[Alpha]] Subscript[a, 0])/(
    5 Sqrt[\[Pi]] \[Alpha] \[Kappa] Gamma[\[Alpha]]) - (
    x Subscript[a, 0])/(10 \[Kappa] Gamma[2 + 2 \[Alpha]]) - (
    x Gamma[2 + \[Alpha]] Subscript[a, 0])/(
    10 \[Alpha] \[Kappa] Gamma[\[Alpha]] Gamma[2 + 2 \[Alpha]]) - (
    2^(-2 \[Alpha]) Sqrt[\[Pi]] Subscript[a, 1])/
    Gamma[1/2 + \[Alpha]])

so that we have power to form of

x   x^\[Alpha]   x^\[2Alpha]  x^\[3Alpha]  ...

that

I have reviewed these answers Collect1 collect2 but I did not understand. Any suggestion?

I want to use of collect for this code:

x^α (9/(100 α κ Gamma[α]) - x/(
    100 (α + α^2) κ Gamma[α]) - Subscript[
    a, 0]/(α Gamma[α])) + 
 x^(2 α) ((
    2^(2 - 2 α)
      Cos[π α] Gamma[1/2 - α] Subscript[a, 0])/(
    5 Sqrt[π] α κ Gamma[α]) - (
    x Subscript[a, 0])/(10 κ Gamma[2 + 2 α]) - (
    x Gamma[2 + α] Subscript[a, 0])/(
    10 α κ Gamma[α] Gamma[2 + 2 α]) - (
    2^(-2 α) Sqrt[π] Subscript[a, 1])/
    Gamma[1/2 + α])

so that we have power to form of

x   x^α   x^(2α)  x^(3α)  ...

that

I have reviewed these answers Collect1 collect2 but I did not understand. Any suggestion?

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asked Apr 9, 2016 at 14:31

Bahram Agheli

How to use collect with arbitrary powers?

I want to use of collect for this code:

x^\[Alpha] (9/(100 \[Alpha] \[Kappa] Gamma[\[Alpha]]) - x/(
    100 (\[Alpha] + \[Alpha]^2) \[Kappa] Gamma[\[Alpha]]) - Subscript[
    a, 0]/(\[Alpha] Gamma[\[Alpha]])) + 
 x^(2 \[Alpha]) ((
    2^(2 - 2 \[Alpha])
      Cos[\[Pi] \[Alpha]] Gamma[1/2 - \[Alpha]] Subscript[a, 0])/(
    5 Sqrt[\[Pi]] \[Alpha] \[Kappa] Gamma[\[Alpha]]) - (
    x Subscript[a, 0])/(10 \[Kappa] Gamma[2 + 2 \[Alpha]]) - (
    x Gamma[2 + \[Alpha]] Subscript[a, 0])/(
    10 \[Alpha] \[Kappa] Gamma[\[Alpha]] Gamma[2 + 2 \[Alpha]]) - (
    2^(-2 \[Alpha]) Sqrt[\[Pi]] Subscript[a, 1])/
    Gamma[1/2 + \[Alpha]])

so that we have power to form of

x   x^\[Alpha]   x^\[2Alpha]  x^\[3Alpha]  ...

that

I have reviewed these answers Collect1 collect2 but I did not understand. Any suggestion?

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