Recent content by Belgium 12

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    A Psi function or digamma function?

    Hi everyone, concerning serie representation of psi function. In te solution of bessel function of the second kind we have the following expressions for the psi functions psi(m+1) and psi(n+m+1) then they give the series for the two psi functions ie(or digamma function) sum k from 1 to m of...
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    A Question about computing residues after substitution

    Hi, thank you very much for the answer Belgium 12
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    A Question about computing residues after substitution

    Hi members, See attacged PDF file for my question Thank you
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    A How Do You Compute Residues of Gamma Functions?

    Hi members, I have a problem with the computation of residues involve the gamma functions. (see attached Pdf file) Can you show me for the first residue with the arrows, or give a hint or a link. Thank you
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    I How Does Log(z) Expand at Infinity?

    Hi, see attached PdF file for my question concerning serie expansion of log(z) at infinity. Thank you Belgium 12
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    I What is the difference between d/dx and d/d(x^2) in differentiation notation?

    Hi members, see attached PdF file. What's the difference between d/dx and d/d(x^2) I don't understand this notation?? Thank You
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    I Laplace transform using differential equations

    Hello Mark 44, If I understand it,Y'(0)=infinity.Here infinity can be treated as a constant. Thank you
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    I Laplace transform using differential equations

    Hi members, Laplace transform using differential equations.(see attached PDF file) My question d/ds(s^2 y- s Y(0)-Y'(0).)... Y(t)=sin(sqrt(t)) Y(o)=0 Now Y'= cos(sqrt(t)/2sqrt(t) Y'(0)=infinity d/ds (Y'(0)=?? can it be treated as a constant or can we change limit and differentiation??I...
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    Integrals log x in terms of dilogarithm

    Hi members,see attached PdF file.Have you any idea to prove thes integrals Thank you
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    How Does the Denominator x+a Become 1-t in Integral Substitution?

    Hi members, see attached Pdf file. For a<0,write b=-a and let x=bt.Then My question: how becomes the denominator x+a to 1-t? I don't see it Thank you
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    Factorial Notation for Gamma Function Expression with Fractional Input?

    Hi members, gamma (n+1)=n! Now I have the following: gamma(2(n+3/2))=gamma(2n+1) What is factorial notation for this?? Thank you
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    To pwsnafu integral sinh^2(x/2)

    Hi dear members, Sorry for my mistake with coth(x/2). to pwsnafu:I want to integrate integral from -inf to +inf of 1/sinh^2(x/2) Thank you
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    Calculating the Integral of 1/sinh^2(x/2): Exploring Coth and Principal Value

    Hi dear members, I have a problem with the following integral: Integral 1/sinh^2(x/2) from -inf to +inf =-2 coth(x/2) must I consider it as a principal value integral? Thank you
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    Summation with exponential functions

    Dear members, see attached pdf file.Can you help me to prove this formulas. Thank you Belgium 12 This is not homework.I'm 68 and retired.
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    Fourier Transforms: Get Help with Your Questions

    Hi members, I have a problem with Fourier transforms. There are two attached Pdf files. My questions are on the Pdf files.Give me a little help. Thank you Belgium 12
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