Timeline for Proof of a Fourier pair with Bessel functions?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Aug 17, 2015 at 14:33 | comment | added | Pavel | Many thanks to @Johannes for the advice how to prove the relation. It seems we do not need the "(trivial) change of sign". Also, I wanted to prove the Multiplication Theorem. This can be done by expanding the Bessel functions and comparing the coefficients at matching powers. Thanks a lot. | |
| Aug 10, 2015 at 14:49 | comment | added | Johannes Trost | @IgorKhavkine I was inspired by the hints for proving Theorem 4.11.1 in "Special Functions" (1999) by Andrews, Askey, and Roy (p 217-218). | |
| Aug 10, 2015 at 9:19 | history | bounty ended | Igor Khavkine | ||
| Aug 10, 2015 at 9:19 | comment | added | Igor Khavkine | The series expansion approach sounds reasonable. There might yet be a slicker derivation using a clever choice of an integral representation. | |
| Aug 8, 2015 at 15:38 | history | answered | Johannes Trost | CC BY-SA 3.0 |