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GuiTell
GuiTell
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I am trying to integrate various expressions with Bessel functions. In order to learn basics with Mathematica, I have decided to try a simple case to see what is going on.

I did :

Assuming[ Element[n, Integers] && n > 0 && c > 0 && Im (c)Im[c] == 0, 
 Integrate[BesselJ[n, c r] r, {r, 0, 1}]]

I was expecting to see an answer in terms of Bessel functions and their derivatives. Instead, I get an answer in terms of Hypergeometric functions. Is there any way to force Mathematica to express the answer in terms of Bessel functions?

I am trying to integrate various expressions with Bessel functions. In order to learn basics with Mathematica, I have decided to try a simple case to see what is going on.

I did :

Assuming[ Element[n, Integers] && n > 0 && c > 0 && Im (c) == 0, 
 Integrate[BesselJ[n, c r] r, {r, 0, 1}]]

I was expecting to see an answer in terms of Bessel functions and their derivatives. Instead, I get an answer in terms of Hypergeometric functions. Is there any way to force Mathematica to express the answer in terms of Bessel functions?

I am trying to integrate various expressions with Bessel functions. In order to learn basics with Mathematica, I have decided to try a simple case to see what is going on.

I did :

Assuming[ Element[n, Integers] && n > 0 && c > 0 && Im[c] == 0, 
 Integrate[BesselJ[n, c r] r, {r, 0, 1}]]

I was expecting to see an answer in terms of Bessel functions and their derivatives. Instead, I get an answer in terms of Hypergeometric functions. Is there any way to force Mathematica to express the answer in terms of Bessel functions?

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Michael E2
Michael E2
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I am trying to integrate various expressions with Bessel functions. In order to learn basics with mathematicaMathematica, I have decided to try a simple case to see what is going on.

I did :

Assuming[ Element[n, Integers] && n > 0 && c > 0 && Im (c) == 0, Integrate[BesselJ[n, c r] r, {r, 0, 1}]]

Assuming[ Element[n, Integers] && n > 0 && c > 0 && Im (c) == 0, 
 Integrate[BesselJ[n, c r] r, {r, 0, 1}]]

I was expecting to see an answer in terms of bessel functionBessel functions and its derivativetheir derivatives. Instead, I get an answer in terms of Hypergeometric functions. Is there any way to force Mathematica to express the answer in terms of Bessel functions.?

I am trying to integrate various expressions with Bessel functions. In order to learn basics with mathematica, I have decided to try a simple case to see what is going on.

I did :

Assuming[ Element[n, Integers] && n > 0 && c > 0 && Im (c) == 0, Integrate[BesselJ[n, c r] r, {r, 0, 1}]]

I was expecting to see an answer in terms of bessel function and its derivative. Instead, I get an answer in terms of Hypergeometric functions. Is there any way to force Mathematica to express the answer in terms of Bessel functions.

I am trying to integrate various expressions with Bessel functions. In order to learn basics with Mathematica, I have decided to try a simple case to see what is going on.

I did :

Assuming[ Element[n, Integers] && n > 0 && c > 0 && Im (c) == 0, 
 Integrate[BesselJ[n, c r] r, {r, 0, 1}]]

I was expecting to see an answer in terms of Bessel functions and their derivatives. Instead, I get an answer in terms of Hypergeometric functions. Is there any way to force Mathematica to express the answer in terms of Bessel functions?

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GuiTell
GuiTell
  • 23
  • 3

Problem while integrating bessel functions

I am trying to integrate various expressions with Bessel functions. In order to learn basics with mathematica, I have decided to try a simple case to see what is going on.

I did :

Assuming[ Element[n, Integers] && n > 0 && c > 0 && Im (c) == 0, Integrate[BesselJ[n, c r] r, {r, 0, 1}]]

I was expecting to see an answer in terms of bessel function and its derivative. Instead, I get an answer in terms of Hypergeometric functions. Is there any way to force Mathematica to express the answer in terms of Bessel functions.