DLMF:18.35.E7 (Q6046): Difference between revisions

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Revision as of 13:30, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 13:31, 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
			Q11750
		Property / Symbols used: Q11750 / rank
			Normal rank
		Property / Symbols used: Q11750 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11750 / qualifier
			xml-id: C18.S1.XMD2.m1dec
		Property / Symbols used
			Q11726
		Property / Symbols used: Q11726 / rank
			Normal rank
		Property / Symbols used: Q11726 / qualifier
			Defining formula: ${\displaystyle{\displaystyle n}}$ n
		Property / Symbols used: Q11726 / qualifier
			xml-id: C18.S1.XMD6.m1cdec
		Property / Symbols used
			DLMF:18.35.E3
		Property / Symbols used: DLMF:18.35.E3 / rank
			Normal rank
		Property / Symbols used: DLMF:18.35.E3 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\tau_{a,b}(\theta)}}$ \tau_{a,b}(\theta)
		Property / Symbols used: DLMF:18.35.E3 / qualifier
			xml-id: C18.S35.XMD1.m1cdec

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Latest revision as of 13:31, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:18.35.E7	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle(1-ze^{\mathrm{i}\theta})^{-\lambda+\mathrm{i}\tau_{a,b}(\theta)}(1-ze^{-\mathrm{i}\theta})^{-\lambda-\mathrm{i}\tau_{a,b}(\theta)}=\sum_{n=0}^{\infty}P^{(\lambda)}_{n}\left(\cos\theta;a,b\right)z^{n},}}$

0 references

DLMF id

DLMF:18.35.E7

0 references

constraint

${\displaystyle{\displaystyle 0<\theta<\pi}}$

0 references

Symbols used

Pollaczek polynomial

Defining formula

${\displaystyle{\displaystyle P^{(\NVar{\lambda})}_{\NVar{n}}\left(\NVar{x};\NVar{a},\NVar{b}\right)}}$

xml-id

C18.S35.E4.m2addec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

${\displaystyle{\displaystyle\pi}}$

xml-id

C3.S12.E1.m2abdec

0 references

cosine function

Defining formula

${\displaystyle{\displaystyle\cos\NVar{z}}}$

xml-id

C4.S14.E2.m2acdec

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.m2abdec

0 references

Q11750

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C18.S1.XMD2.m1dec

0 references

Q11726

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C18.S1.XMD6.m1cdec

0 references

DLMF:18.35.E3

Defining formula

${\displaystyle{\displaystyle\tau_{a,b}(\theta)}}$

xml-id

C18.S35.XMD1.m1cdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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