DLMF:13.14.E11 (Q4500): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older editNewer edit →
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
Defining formula:

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2aadec

Revision as of 16:05, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:13.14.E11
No description defined

    Statements

    Defining formula
    M κ , μ ⁡ ( z ⁢ e 2 ⁢ m ⁢ π ⁢ i ) = ( - 1 ) m ⁢ e 2 ⁢ m ⁢ μ ⁢ π ⁢ i ⁢ M κ , μ ⁡ ( z ) . Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 superscript 𝑒 2 𝑚 𝜋 imaginary-unit superscript 1 𝑚 superscript 𝑒 2 𝑚 𝜇 𝜋 imaginary-unit Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle M_{\kappa,\mu}\left(ze^{2m\pi\mathrm{i}}\right)=(% -1)^{m}e^{2m\mu\pi\mathrm{i}}M_{\kappa,\mu}\left(z\right).}}
    0 references
    DLMF id
    DLMF:13.14.E11
    0 references
    Symbols used
    Whittaker confluent hypergeometric function
    Defining formula
    M κ , μ ⁡ ( z ) Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}
    xml-id
    C13.S14.E2.m2aedec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aadec
    0 references
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aidec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2aadec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4500&oldid=62559"