Mathieu function

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I need help to distinguish the relationship between the even and odd Mathieu function with the characteristic exponent$(tau)$ for Mathieu function in case $(tau)$is a complex number and take two situation + and - as the following:
$$
M_ pm tau (ln x) =sum_n=-infty^infty C_n(tau) x^(pmtau + 2n)
$$
How can I find:$ M_+tau (0)$ and $ M_-tau (0)$ where $x=e^phi$



Thanks in advance.




differential-equations




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    up vote
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    down vote

    favorite












    I need help to distinguish the relationship between the even and odd Mathieu function with the characteristic exponent$(tau)$ for Mathieu function in case $(tau)$is a complex number and take two situation + and - as the following:
    $$
    M_ pm tau (ln x) =sum_n=-infty^infty C_n(tau) x^(pmtau + 2n)
    $$
    How can I find:$ M_+tau (0)$ and $ M_-tau (0)$ where $x=e^phi$



    Thanks in advance.




    differential-equations




    share|cite|improve this question





















      up vote
      -2
      down vote

      favorite









      up vote
      -2
      down vote

      favorite











      I need help to distinguish the relationship between the even and odd Mathieu function with the characteristic exponent$(tau)$ for Mathieu function in case $(tau)$is a complex number and take two situation + and - as the following:
      $$
      M_ pm tau (ln x) =sum_n=-infty^infty C_n(tau) x^(pmtau + 2n)
      $$
      How can I find:$ M_+tau (0)$ and $ M_-tau (0)$ where $x=e^phi$



      Thanks in advance.




      differential-equations




      share|cite|improve this question











      I need help to distinguish the relationship between the even and odd Mathieu function with the characteristic exponent$(tau)$ for Mathieu function in case $(tau)$is a complex number and take two situation + and - as the following:
      $$
      M_ pm tau (ln x) =sum_n=-infty^infty C_n(tau) x^(pmtau + 2n)
      $$
      How can I find:$ M_+tau (0)$ and $ M_-tau (0)$ where $x=e^phi$



      Thanks in advance.





      differential-equations





      share|cite|improve this question










      share|cite|improve this question




      share|cite|improve this question









      asked Aug 3 at 4:00









      Ghady

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