Timeline for limit of an expression including BesselK function
Current License: CC BY-SA 4.0
10 events
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| Feb 22, 2021 at 16:30 | history | edited | J. M.'s missing motivation♦ |
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| Feb 19, 2021 at 23:23 | comment | added | fatemeh kamali | @Daniel Lichtblau Thanks a lot! | |
| Feb 19, 2021 at 23:16 | history | edited | m_goldberg | CC BY-SA 4.0 |
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| Feb 19, 2021 at 22:03 | comment | added | Daniel Lichtblau |
With suitable assumptions we can get this for m>1. In[334]:= ll = Limit[1 - BesselK[m, w]^2/(BesselK[-1 + m, w] BesselK[1 + m, w]), w -> 0, Direction -> "FromAbove", Assumptions -> m > 1] Out[334]= 1 - Gamma[m]^2/(Gamma[-1 + m] Gamma[1 + m]) In[335]:= Simplify[FunctionExpand[ll, Assumptions -> m > 1]] Out[335]= 1/m
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| Feb 19, 2021 at 21:36 | answer | added | Andreas | timeline score: 3 | |
| Feb 19, 2021 at 20:34 | history | edited | fatemeh kamali |
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| Feb 19, 2021 at 20:23 | history | edited | fatemeh kamali | CC BY-SA 4.0 |
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| Feb 19, 2021 at 20:22 | comment | added | fatemeh kamali | @yarchik Thanks for your response. I know that. but I want to show this | |
| Feb 19, 2021 at 20:09 | comment | added | yarchik | The limit is given by $\frac{1}{m}, \text{for}\; m\in\mathbb{R}$. | |
| Feb 19, 2021 at 19:52 | history | asked | fatemeh kamali | CC BY-SA 4.0 |