DLMF:8.10.E8 (Q2564): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
test:

e {\displaystyle{\displaystyle\mathrm{e}}}

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2aedec
Property / Symbols used
 
Property / Symbols used: Q11332 / rank
 
Normal rank
Property / Symbols used: Q11332 / qualifier
 
test:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11332 / qualifier
 
xml-id: C8.S1.XMD1.m1gdec
Property / Symbols used
 
Property / Symbols used: Q11324 / rank
 
Normal rank
Property / Symbols used: Q11324 / qualifier
 
test:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q11324 / qualifier
 
xml-id: C8.S1.XMD3.m1gdec

Latest revision as of 12:52, 2 January 2020

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English
DLMF:8.10.E8
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    Statements

    ( a + 1 ) ( a + 2 ) - x ( a + 1 ) ( a + 2 + x ) < a x - a e - x I < a + 1 a + 1 + x , 𝑎 1 𝑎 2 𝑥 𝑎 1 𝑎 2 𝑥 𝑎 superscript 𝑥 𝑎 superscript 𝑒 𝑥 𝐼 𝑎 1 𝑎 1 𝑥 {\displaystyle{\displaystyle\frac{(a+1)(a+2)-x}{(a+1)(a+2+x)}<ax^{-a}e^{-x}I<% \frac{a+1}{a+1+x},}}
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    Warning: Falling back to standard tex;
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    a 0 𝑎 0 {\displaystyle{\displaystyle a\geq 0}}
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    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2aedec
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    x 𝑥 {\displaystyle{\displaystyle x}}
    C8.S1.XMD1.m1gdec
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    a 𝑎 {\displaystyle{\displaystyle a}}
    C8.S1.XMD3.m1gdec
    0 references