DLMF:4.2.E29 (Q1525): Difference between revisions

From DRMF
Jump to navigation Jump to search
Changed an Item: Add constraint
Changed an Item: Add constraint
 
(2 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q10811 / rank
 
Normal rank
Property / Symbols used: Q10811 / qualifier
 
Defining formula:

absent {\displaystyle{\displaystyle\Re}}

\realpart@@
Property / Symbols used: Q10811 / qualifier
 
xml-id: C1.S9.E2.m1aadec
Property / Symbols used
 
Property / Symbols used: Q11221 / rank
 
Normal rank
Property / Symbols used: Q11221 / qualifier
 
Defining formula:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q11221 / qualifier
 
xml-id: C4.S1.XMD4.m1edec
Property / Symbols used
 
Property / Symbols used: Q11217 / rank
 
Normal rank
Property / Symbols used: Q11217 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11217 / qualifier
 
xml-id: C4.S1.XMD8.m1vdec

Latest revision as of 18:04, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:4.2.E29
No description defined

    Statements

    | z a | = | z | a exp ( - ( a ) ph z ) , superscript 𝑧 𝑎 superscript 𝑧 𝑎 𝑎 phase 𝑧 {\displaystyle{\displaystyle|z^{a}|=|z|^{\Re a}\exp\left(-(\Im a)\operatorname% {ph}z\right),}}
    0 references
    DLMF:4.2.E29
    0 references
    exp z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    C4.S2.E19.m2aidec
    0 references
    absent {\displaystyle{\displaystyle\Im}}
    C1.S9.E2.m2aadec
    0 references
    ph phase {\displaystyle{\displaystyle\operatorname{ph}}}
    C1.S9.E7.m1acdec
    0 references
    absent {\displaystyle{\displaystyle\Re}}
    C1.S9.E2.m1aadec
    0 references
    a 𝑎 {\displaystyle{\displaystyle a}}
    C4.S1.XMD4.m1edec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C4.S1.XMD8.m1vdec
    0 references