DLMF:13.24.E3 (Q4651): Difference between revisions

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Revision as of 15:33, 29 December 2019 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Created a new Item: Wikidata Toolkit example test item creation		Latest revision as of 01:05, 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
			exponential function
		Property / Symbols used: exponential function / rank
			Normal rank
		Property / Symbols used: exponential function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\exp\NVar{z}}}$ \exp@@{\NVar{z}}
		Property / Symbols used: exponential function / qualifier
			xml-id: C4.S2.E19.m2adec
		Property / Symbols used
			hyperbolic cotangent function
		Property / Symbols used: hyperbolic cotangent function / rank
			Normal rank
		Property / Symbols used: hyperbolic cotangent function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\coth\NVar{z}}}$ \coth@@{\NVar{z}}
		Property / Symbols used: hyperbolic cotangent function / qualifier
			xml-id: C4.S28.E7.m2adec
		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
			Q11558
		Property / Symbols used: Q11558 / rank
			Normal rank
		Property / Symbols used: Q11558 / qualifier
			Defining formula: ${\displaystyle{\displaystyle s}}$ s
		Property / Symbols used: Q11558 / qualifier
			xml-id: C13.S1.XMD3.m1bdec
		Property / Symbols used
			Q11557
		Property / Symbols used: Q11557 / rank
			Normal rank
		Property / Symbols used: Q11557 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11557 / qualifier
			xml-id: C13.S1.XMD6.m1bdec
		Property / Symbols used
			Q11588
		Property / Symbols used: Q11588 / rank
			Normal rank
		Property / Symbols used: Q11588 / qualifier
			Defining formula: ${\displaystyle{\displaystyle p_{s}}}$ p_{s}
		Property / Symbols used: Q11588 / qualifier
			xml-id: C13.S24.XMD1.m1adec

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Latest revision as of 01:05, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:13.24.E3	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\exp\left(-\tfrac{1}{2}z\left(\coth t-\frac{1}{t}\right)\right)\left(\frac{t}{\sinh t}\right)^{1-2\mu}=\sum_{s=0}^{\infty}p_{s}^{(\mu)}(z)\left(-\frac{t}{z}\right)^{s}.}}$

0 references

DLMF id

DLMF:13.24.E3

0 references

Symbols used

exponential function

Defining formula

${\displaystyle{\displaystyle\exp\NVar{z}}}$

xml-id

C4.S2.E19.m2adec

0 references

hyperbolic cotangent function

Defining formula

${\displaystyle{\displaystyle\coth\NVar{z}}}$

xml-id

C4.S28.E7.m2adec

0 references

hyperbolic sine function

Defining formula

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

xml-id

C4.S28.E1.m2adec

0 references

Q11558

Defining formula

${\displaystyle{\displaystyle s}}$

xml-id

C13.S1.XMD3.m1bdec

0 references

Q11557

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C13.S1.XMD6.m1bdec

0 references

Q11588

Defining formula

${\displaystyle{\displaystyle p_{s}}}$

xml-id

C13.S24.XMD1.m1adec

0 references

 

Sitelinks

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DRMF related sites(0 entries)

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