DLMF:31.12.E3 (Q9110): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / rank
 
Normal rank
Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / qualifier
 
test:

d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}

\deriv{\NVar{f}}{\NVar{x}}
Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / qualifier
 
xml-id: C1.S4.E4.m2abdec
Property / Symbols used
 
Property / Symbols used: Q12457 / rank
 
Normal rank
Property / Symbols used: Q12457 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q12457 / qualifier
 
xml-id: C31.S1.XMD1.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12458 / rank
 
Normal rank
Property / Symbols used: Q12458 / qualifier
 
test:

γ 𝛾 {\displaystyle{\displaystyle\gamma}}

\gamma
Property / Symbols used: Q12458 / qualifier
 
xml-id: C31.S1.XMD10.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12459 / rank
 
Normal rank
Property / Symbols used: Q12459 / qualifier
 
test:

δ 𝛿 {\displaystyle{\displaystyle\delta}}

\delta
Property / Symbols used: Q12459 / qualifier
 
xml-id: C31.S1.XMD11.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12462 / rank
 
Normal rank
Property / Symbols used: Q12462 / qualifier
 
test:

q 𝑞 {\displaystyle{\displaystyle q}}

q
Property / Symbols used: Q12462 / qualifier
 
xml-id: C31.S1.XMD7.m1bdec

Latest revision as of 12:42, 2 January 2020

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DLMF:31.12.E3
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    Statements

    d 2 w d z 2 - ( γ z + δ + z ) d w d z + α z - q z w = 0 . derivative 𝑤 𝑧 2 𝛾 𝑧 𝛿 𝑧 derivative 𝑤 𝑧 𝛼 𝑧 𝑞 𝑧 𝑤 0 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}-\left(% \frac{\gamma}{z}+\delta+z\right)\frac{\mathrm{d}w}{\mathrm{d}z}+\frac{\alpha z% -q}{z}w=0.}}
    0 references
    0 references
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    C1.S4.E4.m2abdec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C31.S1.XMD1.m1bdec
    0 references
    γ 𝛾 {\displaystyle{\displaystyle\gamma}}
    C31.S1.XMD10.m1bdec
    0 references
    δ 𝛿 {\displaystyle{\displaystyle\delta}}
    C31.S1.XMD11.m1bdec
    0 references
    q 𝑞 {\displaystyle{\displaystyle q}}
    C31.S1.XMD7.m1bdec
    0 references