Evaluation of Integrals involving Legendre Functions
$begingroup$
I am trying to evaluate these integrals:
1)$$int_1^{coshξ_0}frac{P_{n-1/2}(ζ)ζ,mathrm dζ}{sqrt{ζ-1}},$$
2)$$int_{coshξ_0}^inftyfrac{Q_{n-1/2}(ζ),mathrm dζ}{sqrt{ζ-1}},$$
where $n$ is any non-negative integer.
Mathematica is unable to evaluate these integrals. Any help will be appreciated.
Jog
definite-integrals
edited Dec 24 '18 at 5:14
Saad
20.8k92452
asked Dec 24 '18 at 3:59
JogJog
64
$endgroup$
add a comment |
$begingroup$
I am trying to evaluate these integrals:
1)$$int_1^{coshξ_0}frac{P_{n-1/2}(ζ)ζ,mathrm dζ}{sqrt{ζ-1}},$$
2)$$int_{coshξ_0}^inftyfrac{Q_{n-1/2}(ζ),mathrm dζ}{sqrt{ζ-1}},$$
where $n$ is any non-negative integer.
Mathematica is unable to evaluate these integrals. Any help will be appreciated.
Jog
definite-integrals
edited Dec 24 '18 at 5:14
Saad
20.8k92452
asked Dec 24 '18 at 3:59
JogJog
64
$endgroup$
add a comment |
$begingroup$
I am trying to evaluate these integrals:
1)$$int_1^{coshξ_0}frac{P_{n-1/2}(ζ)ζ,mathrm dζ}{sqrt{ζ-1}},$$
2)$$int_{coshξ_0}^inftyfrac{Q_{n-1/2}(ζ),mathrm dζ}{sqrt{ζ-1}},$$
where $n$ is any non-negative integer.
Mathematica is unable to evaluate these integrals. Any help will be appreciated.
Jog
definite-integrals
edited Dec 24 '18 at 5:14
Saad
20.8k92452
asked Dec 24 '18 at 3:59
JogJog
64
$endgroup$
I am trying to evaluate these integrals:
1)$$int_1^{coshξ_0}frac{P_{n-1/2}(ζ)ζ,mathrm dζ}{sqrt{ζ-1}},$$
2)$$int_{coshξ_0}^inftyfrac{Q_{n-1/2}(ζ),mathrm dζ}{sqrt{ζ-1}},$$
where $n$ is any non-negative integer.
Mathematica is unable to evaluate these integrals. Any help will be appreciated.
Jog
definite-integrals
definite-integrals
edited Dec 24 '18 at 5:14
Saad
20.8k92452
asked Dec 24 '18 at 3:59
JogJog
64
edited Dec 24 '18 at 5:14
Saad
20.8k92452
asked Dec 24 '18 at 3:59
JogJog
64
edited Dec 24 '18 at 5:14
Saad
20.8k92452
edited Dec 24 '18 at 5:14
Saad
20.8k92452
edited Dec 24 '18 at 5:14
Saad
20.8k92452
20.8k92452
asked Dec 24 '18 at 3:59
JogJog
64
asked Dec 24 '18 at 3:59
JogJog
64
asked Dec 24 '18 at 3:59
JogJog
64
64
add a comment |
add a comment |
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