l********e 发帖数: 413 | 1 Integrate[Exp[-(p^2+b)^2+I p x],{p, -Infinity, Infinity}]
Mathematica做不出来, 能否做个变换,解析求解?
Integrals And Series 一书上能否查到相应的公式?
北京图书馆和上海图书馆都没有该书。 | R******y 发帖数: 651 | 2 what's the physical value of b? I suspect b close to zero, then it is easier
to handle.
【在 l********e 的大作中提到】![](/moin_static193/solenoid/img/up.png) : Integrate[Exp[-(p^2+b)^2+I p x],{p, -Infinity, Infinity}] : Mathematica做不出来, 能否做个变换,解析求解? : Integrals And Series 一书上能否查到相应的公式? : 北京图书馆和上海图书馆都没有该书。
| R*********r 发帖数: 1855 | 3 不要想解析解了,b=0的情况下都积不出来。
【在 l********e 的大作中提到】![](/moin_static193/solenoid/img/up.png) : Integrate[Exp[-(p^2+b)^2+I p x],{p, -Infinity, Infinity}] : Mathematica做不出来, 能否做个变换,解析求解? : Integrals And Series 一书上能否查到相应的公式? : 北京图书馆和上海图书馆都没有该书。
| R******y 发帖数: 651 | 4 are you sure? Even for non-zero b, it is not difficult to find the
asymptotic form.
【在 R*********r 的大作中提到】![](/moin_static193/solenoid/img/up.png) : 不要想解析解了,b=0的情况下都积不出来。
| R*********r 发帖数: 1855 | 5 看清楚,解析解
【在 R******y 的大作中提到】![](/moin_static193/solenoid/img/up.png) : are you sure? Even for non-zero b, it is not difficult to find the : asymptotic form.
| x********g 发帖数: 595 | 6 Why do you need the analytical solution? Analytical solutions make you feel
better? I doubt it.
I have a suggestion. Just let this integral bear your name: XXX integral,or
XXX function, or whatsoever. A new transcendental function is born.
【在 l********e 的大作中提到】![](/moin_static193/solenoid/img/up.png) : Integrate[Exp[-(p^2+b)^2+I p x],{p, -Infinity, Infinity}] : Mathematica做不出来, 能否做个变换,解析求解? : Integrals And Series 一书上能否查到相应的公式? : 北京图书馆和上海图书馆都没有该书。
| M*********m 发帖数: 2024 | 7 Simple and straightforward. :)
We should get people introduce some physics articles, such as physical
devices, mathematical physics, etc.. How does it sound? It's too quiet on
the board these days and only the people's scientists are posting, seriously
...
feel
or
【在 x********g 的大作中提到】![](/moin_static193/solenoid/img/up.png) : Why do you need the analytical solution? Analytical solutions make you feel : better? I doubt it. : I have a suggestion. Just let this integral bear your name: XXX integral,or : XXX function, or whatsoever. A new transcendental function is born.
| x********g 发帖数: 595 | | w******0 发帖数: 1404 | 9 去找那本俄国人编的积分和数列手册,肯定有。N多年前理论所有买的。可惜我的不在
身边。
【在 l********e 的大作中提到】![](/moin_static193/solenoid/img/up.png) : Integrate[Exp[-(p^2+b)^2+I p x],{p, -Infinity, Infinity}] : Mathematica做不出来, 能否做个变换,解析求解? : Integrals And Series 一书上能否查到相应的公式? : 北京图书馆和上海图书馆都没有该书。
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