DLMF:13.13.E10 (Q4487): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
Defining formula:

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

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2acdec

Revision as of 16:04, 2 January 2020

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DLMF:13.13.E10
No description defined

    Statements

    Defining formula
    e y ⁢ ∑ n = 0 ∞ ( - y ) n n ! ⁢ U ⁡ ( a , b + n , x ) , superscript 𝑒 𝑦 superscript subscript 𝑛 0 superscript 𝑦 𝑛 𝑛 Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑛 𝑥 {\displaystyle{\displaystyle e^{y}\sum_{n=0}^{\infty}\frac{(-y)^{n}}{n!}U\left% (a,b+n,x\right),}}
    0 references
    DLMF id
    DLMF:13.13.E10
    0 references
    constraint
    | y | < | x | 𝑦 𝑥 {\displaystyle{\displaystyle|y|<|x|}}
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    Symbols used
    Kummer confluent hypergeometric function
    Defining formula
    U ⁡ ( a , b , z ) Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}
    xml-id
    C13.S2.E6.m2acdec
    0 references
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2acdec
    0 references
     
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