DLMF:12.14.E15 (Q4255): Difference between revisions

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Revision as of 15:20, 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 15:28, 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
			$$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function
		Property / Symbols used: $$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function / rank
			Normal rank
		Property / Symbols used: $$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function / qualifier
			Defining formula: ${\displaystyle{\displaystyle M\left(\NVar{a},\NVar{b},\NVar{z}\right)}}$ \KummerconfhyperM@{\NVar{a}}{\NVar{b}}{\NVar{z}}
		Property / Symbols used: $$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function / qualifier
			xml-id: C13.S2.E2.m2adec
		Property / Symbols used
			base of natural logarithm
		Property / Symbols used: base of natural logarithm / rank
			Normal rank
		Property / Symbols used: base of natural logarithm / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathrm{e}}}$ \expe
		Property / Symbols used: base of natural logarithm / qualifier
			xml-id: C4.S2.E11.m2abdec
		Property / Symbols used
			imaginary unit
		Property / Symbols used: imaginary unit / rank
			Normal rank
		Property / Symbols used: imaginary unit / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathrm{i}}}$ \iunit
		Property / Symbols used: imaginary unit / qualifier
			xml-id: C1.S9.E1.m2addec
		Property / Symbols used
			Q11520
		Property / Symbols used: Q11520 / rank
			Normal rank
		Property / Symbols used: Q11520 / qualifier
			Defining formula: ${\displaystyle{\displaystyle x}}$ x
		Property / Symbols used: Q11520 / qualifier
			xml-id: C12.S1.XMD1.m1kdec
		Property / Symbols used
			Q11516
		Property / Symbols used: Q11516 / rank
			Normal rank
		Property / Symbols used: Q11516 / qualifier
			Defining formula: ${\displaystyle{\displaystyle a}}$ a
		Property / Symbols used: Q11516 / qualifier
			xml-id: C12.S1.XMD6.m1kdec
		Property / Symbols used
			even solution (locally)
		Property / Symbols used: even solution (locally) / rank
			Normal rank
		Property / Symbols used: even solution (locally) / qualifier
			Defining formula: ${\displaystyle{\displaystyle w_{1}(a,x)}}$ w_{1}(a,x)
		Property / Symbols used: even solution (locally) / qualifier
			xml-id: C12.S14.XMD4.m1bdec

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Latest revision as of 15:28, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:12.14.E15	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle w_{1}(a,x)=e^{-\frac{1}{4}ix^{2}}M\left(\tfrac{1}{4}-\tfrac{1}{2}ia,\tfrac{1}{2},\tfrac{1}{2}ix^{2}\right)=e^{\frac{1}{4}ix^{2}}M\left(\tfrac{1}{4}+\tfrac{1}{2}ia,\tfrac{1}{2},-\tfrac{1}{2}ix^{2}\right),}}$

0 references

DLMF id

DLMF:12.14.E15

0 references

Symbols used

$$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function

Defining formula

${\displaystyle{\displaystyle M\left(\NVar{a},\NVar{b},\NVar{z}\right)}}$

xml-id

C13.S2.E2.m2adec

0 references

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2abdec

0 references

imaginary unit

Defining formula

${\displaystyle{\displaystyle\mathrm{i}}}$

xml-id

C1.S9.E1.m2addec

0 references

Q11520

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C12.S1.XMD1.m1kdec

0 references

Q11516

Defining formula

${\displaystyle{\displaystyle a}}$

xml-id

C12.S1.XMD6.m1kdec

0 references

even solution (locally)

Defining formula

${\displaystyle{\displaystyle w_{1}(a,x)}}$

xml-id

C12.S14.XMD4.m1bdec

0 references

 

Sitelinks

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