DLMF:32.2.E12 (Q9166): Difference between revisions

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Revision as of 13:48, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 13:49, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		Property / Symbols used
			hyperbolic sine function
		Property / Symbols used: hyperbolic sine function / rank
			Normal rank
		Property / Symbols used: hyperbolic sine function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\sinh\NVar{z}}}$ \sinh@@{\NVar{z}}
		Property / Symbols used: hyperbolic sine function / qualifier
			xml-id: C4.S28.E1.m2adec
		Property / Symbols used
			Q12524
		Property / Symbols used: Q12524 / rank
			Normal rank
		Property / Symbols used: Q12524 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\alpha}}$ \alpha
		Property / Symbols used: Q12524 / qualifier
			xml-id: C32.S2.XMD1.m1gdec
		Property / Symbols used
			Q12525
		Property / Symbols used: Q12525 / rank
			Normal rank
		Property / Symbols used: Q12525 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\beta}}$ \beta
		Property / Symbols used: Q12525 / qualifier
			xml-id: C32.S2.XMD2.m1fdec
		Property / Symbols used
			Q12526
		Property / Symbols used: Q12526 / rank
			Normal rank
		Property / Symbols used: Q12526 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\gamma}}$ \gamma
		Property / Symbols used: Q12526 / qualifier
			xml-id: C32.S2.XMD3.m1edec
		Property / Symbols used
			Q12527
		Property / Symbols used: Q12527 / rank
			Normal rank
		Property / Symbols used: Q12527 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\delta}}$ \delta
		Property / Symbols used: Q12527 / qualifier
			xml-id: C32.S2.XMD4.m1ddec

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Latest revision as of 13:49, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:32.2.E12	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}u}{{\mathrm{d}\zeta}^{2}}=-\frac{\alpha\cosh u}{2(\sinh u)^{3}}-\frac{\beta\sinh u}{2(\cosh u)^{3}}-\tfrac{1}{4}\gamma e^{\zeta}\sinh\left(2u\right)-\tfrac{1}{8}\delta e^{2\zeta}\sinh\left(4u\right).}}$

0 references

DLMF id

DLMF:32.2.E12

0 references

Symbols used

derivative of $$f$$ with respect to $$x$$

Defining formula

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

xml-id

C1.S4.E4.m2ajdec

0 references

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2adec

0 references

hyperbolic cosine function

Defining formula

${\displaystyle{\displaystyle\cosh\NVar{z}}}$

xml-id

C4.S28.E2.m2adec

0 references

hyperbolic sine function

Defining formula

${\displaystyle{\displaystyle\sinh\NVar{z}}}$

xml-id

C4.S28.E1.m2adec

0 references

Q12524

Defining formula

${\displaystyle{\displaystyle\alpha}}$

xml-id

C32.S2.XMD1.m1gdec

0 references

Q12525

Defining formula

${\displaystyle{\displaystyle\beta}}$

xml-id

C32.S2.XMD2.m1fdec

0 references

Q12526

Defining formula

${\displaystyle{\displaystyle\gamma}}$

xml-id

C32.S2.XMD3.m1edec

0 references

Q12527

Defining formula

${\displaystyle{\displaystyle\delta}}$

xml-id

C32.S2.XMD4.m1ddec

0 references

 

Sitelinks

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DRMF related sites(0 entries)

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