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typo corrected
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Carlo Beenakker
Carlo Beenakker
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I've noticed it is not in Erdelyi or GradsteynGradshteyn, although the version with the sine replaced by a cosine is in Erdelyi (page 26 eq. 33). I've tried using the substitution $x=a \sinh z$ to avoid a square root.
I would also like to know the Fourier sine transform of the sine and cosine form.

I've noticed it is not in Erdelyi or Gradsteyn, although the version with the sine replaced by a cosine is in Erdelyi (page 26 eq. 33). I've tried using the substitution $x=a \sinh z$ to avoid a square root.
I would also like to know the Fourier sine transform of the sine and cosine form.

I've noticed it is not in Erdelyi or Gradshteyn, although the version with the sine replaced by a cosine is in Erdelyi (page 26 eq. 33). I've tried using the substitution $x=a \sinh z$ to avoid a square root.
I would also like to know the Fourier sine transform of the sine and cosine form.

edited title, clarified first sentence
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Carlo Beenakker
Carlo Beenakker
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I need the Fourier cosine transform of $\frac{\sin(b\sqrt{a^2+x^2})}{a^2+x^2}$

I've noticed it is not in ErledyiErdelyi or Gradsteyn, although the cosine version with the sine replaced by a cosine is in the firstErdelyi (page 26 eq.33 33). I've tried using the substitution $x=a\cdot \sinh(z)$$x=a \sinh z$ to avoid a square root.
I would also like to know the fourierFourier sine transform of the sine and cosine form.

I need the Fourier cosine transform of $\frac{\sin(b\sqrt{a^2+x^2})}{a^2+x^2}$

I've noticed it is not in Erledyi or Gradsteyn, although the cosine version is in the first (page 26 eq.33). I've tried using the substitution $x=a\cdot \sinh(z)$ to avoid a square root I would also like to know the fourier sine transform of the sine and cosine form

Fourier cosine transform of $\frac{\sin(b\sqrt{a^2+x^2})}{a^2+x^2}$

I've noticed it is not in Erdelyi or Gradsteyn, although the version with the sine replaced by a cosine is in Erdelyi (page 26 eq. 33). I've tried using the substitution $x=a \sinh z$ to avoid a square root.
I would also like to know the Fourier sine transform of the sine and cosine form.

Fixed formatting
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Joe Silverman
Joe Silverman
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I need the Fourier cosine transform of (sin(bsqrt$\frac{\sin(b\sqrt{a^2+x^2))})/(}{a^2+x^2)}$

I've noticed it is not in Erledyi or Gradsteyn, although the cosine version is in the first.  (page 26 eq.33). I've tried using the subst.x=a*sinh(z)substitution $x=a\cdot \sinh(z)$ to avoid a square root I would also like to know the fourier sine transform of the sine and cosine form

I need the Fourier cosine transform of (sin(bsqrt(a^2+x^2)))/(a^2+x^2)

I've noticed it is not in Erledyi or Gradsteyn, although the cosine version is in the first.(page 26 eq.33) I've tried using the subst.x=a*sinh(z) to avoid a square root I would also like to know the fourier sine transform of the sine and cosine form

I need the Fourier cosine transform of $\frac{\sin(b\sqrt{a^2+x^2})}{a^2+x^2}$

I've noticed it is not in Erledyi or Gradsteyn, although the cosine version is in the first  (page 26 eq.33). I've tried using the substitution $x=a\cdot \sinh(z)$ to avoid a square root I would also like to know the fourier sine transform of the sine and cosine form

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H.Davies
H.Davies
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