DLMF:10.53.E4 (Q3758): Difference between revisions

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		Property / Symbols used
			Q11428
		Property / Symbols used: Q11428 / rank
			Normal rank
		Property / Symbols used: Q11428 / qualifier
			Defining formula: ${\displaystyle{\displaystyle k}}$ k
		Property / Symbols used: Q11428 / qualifier
			xml-id: C10.S1.XMD3.m1cdec
		Property / Symbols used
			Q11426
		Property / Symbols used: Q11426 / rank
			Normal rank
		Property / Symbols used: Q11426 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11426 / qualifier
			xml-id: C10.S1.XMD6.m1cdec

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Latest revision as of 14:14, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:10.53.E4	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle{\mathsf{i}^{(2)}_{n}}\left(z\right)=\frac{(-1)^{n}}{z^{n+1}}\sum_{k=0}^{n}\frac{(2n-2k-1)!!(-\frac{1}{2}z^{2})^{k}}{k!}+\frac{1}{z^{n+1}}\sum_{k=n+1}^{\infty}\frac{(\frac{1}{2}z^{2})^{k}}{k!(2k-2n-1)!!}.}}$

0 references

DLMF id

DLMF:10.53.E4

0 references

constraint

${\displaystyle{\displaystyle 0<|z|<\infty.}}$

0 references

Symbols used

Q11277

Defining formula

${\displaystyle{\displaystyle!!}}$

xml-id

introduction.Sx4.p1.t1.r16.m7acdec

0 references

Q10755

Defining formula

${\displaystyle{\displaystyle!}}$

xml-id

introduction.Sx4.p1.t1.r15.m5acdec

0 references

modified spherical Bessel function

Defining formula

${\displaystyle{\displaystyle{\mathsf{i}^{(2)}_{\NVar{n}}}\left(\NVar{z}\right)}}$

xml-id

C10.S47.E8.m2adec

0 references

Q11429

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C10.S1.XMD2.m1cdec

0 references

Q11428

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C10.S1.XMD3.m1cdec

0 references

Q11426

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C10.S1.XMD6.m1cdec

0 references

 

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