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Sparavigna, A. (2017). An integral containing a Bessel Function and a Modified Bessel Function of the First Kind. PHILICA.COM Article number 1082.

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An integral containing a Bessel Function and a Modified Bessel Function of the First Kind

Amelia Carolina Sparavignaunconfirmed user (Department of Applied Science and Technology, Politecnico di Torino)

Published in matho.philica.com

Abstract
Here we discuss the calculation of an integral containing the Bessel function J0(r) and the modified Bessel function of the first kind I1(r). The calculus is based on a function of J0(r), I1(r) and of their derivatives, having a Wronskian form. The method here described could be useful for training the students in the manipulation of such integrals.

Article body

 

 

An integral containing a Bessel Function and a Modified Bessel Function of the First Kind  

 

Amelia Carolina Sparavigna

Politecnico di Torino, Italy

Here we discuss the calculation of an integral containing the Bessel function J0(r) and the modified Bessel function of the first kind I1(r). The calculus is based on a function of J0(r), I1(r) and of their derivatives, having a Wronskian form. The method here described could be useful for training the students in the manipulation of such integrals.

 

 

 

 

 

 

 

 

 

References

[1] Omini, M., Sparavigna, A., & Strigazzi, A. (1990). Dilatometric determination of thermal diffusivity in low conducting materials. Measurement Science and Technology, 1(2), 166.

[2] Sparavigna, A., Giachello, G., Omini, M., & Strigazzi, A. (1990). High-sensitivity capacitance method for measuring thermal diffusivity and thermal expansion: results on aluminum and copper. International Journal of Thermophysics, 11(6), 1111-1126.

[3] Omini, M., Sparavigna, A., & Strigazzi, A. (1990). Calibration of capacitive cells for dilatometric measurements of thermal diffusivity. Measurement Science and Technology, 1(11), 1228.

[4] Sparavigna, A. C. (1990). Nuovo metodo dilatometrico di misura della diffusività termica dei solidi (Tesi di Dottorato).

[5] Kovalenko, A. D. (1970). Thermoelasticity. Basic theory and applications. Wolters-Noordhoff.

[6] Abramowitz, M., & Stegun, I. A. (1972). Handbook of mathematical functions, National Bureau of Standards, Applied Mathematics Series – 55, 1972, Chapter 9, Bessel function of Integer Order, F. W. J. Oliver.

 

 

 

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This Article was published on 19th July, 2017 at 13:25:53 and has been viewed 286 times.

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Sparavigna, A. (2017). An integral containing a Bessel Function and a Modified Bessel Function of the First Kind. PHILICA.COM Article number 1082.


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