DLMF:15.10.E1 (Q5114): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11645 / rank
 
Normal rank
Property / Symbols used: Q11645 / qualifier
 
test:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q11645 / qualifier
 
xml-id: C15.S1.XMD4.m1dec
Property / Symbols used
 
Property / Symbols used: Q11646 / rank
 
Normal rank
Property / Symbols used: Q11646 / qualifier
 
test:

b 𝑏 {\displaystyle{\displaystyle b}}

b
Property / Symbols used: Q11646 / qualifier
 
xml-id: C15.S1.XMD5.m1dec
Property / Symbols used
 
Property / Symbols used: Q11647 / rank
 
Normal rank
Property / Symbols used: Q11647 / qualifier
 
test:

c 𝑐 {\displaystyle{\displaystyle c}}

c
Property / Symbols used: Q11647 / qualifier
 
xml-id: C15.S1.XMD6.m1dec

Latest revision as of 13:12, 2 January 2020

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DLMF:15.10.E1
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    Statements

    z ( 1 - z ) d 2 w d z 2 + ( c - ( a + b + 1 ) z ) d w d z - a b w = 0 . 𝑧 1 𝑧 derivative 𝑤 𝑧 2 𝑐 𝑎 𝑏 1 𝑧 derivative 𝑤 𝑧 𝑎 𝑏 𝑤 0 {\displaystyle{\displaystyle z(1-z)\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}% +\left(c-(a+b+1)z\right)\frac{\mathrm{d}w}{\mathrm{d}z}-abw=0.}}
    0 references
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    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    C1.S4.E4.m2adec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C15.S1.XMD3.m1dec
    0 references
    a 𝑎 {\displaystyle{\displaystyle a}}
    C15.S1.XMD4.m1dec
    0 references
    b 𝑏 {\displaystyle{\displaystyle b}}
    C15.S1.XMD5.m1dec
    0 references
    c 𝑐 {\displaystyle{\displaystyle c}}
    C15.S1.XMD6.m1dec
    0 references