DLMF:13.17.E1 (Q4564): Difference between revisions

Latest revision as of 16:12, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:13.17.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{\sqrt{z}M_{\kappa,\mu}\left(z\right)}{M_{% \kappa-\frac{1}{2},\mu+\frac{1}{2}}\left(z\right)}=1+\cfrac{u_{1}z}{1+\cfrac{u% _{2}z}{1+\cdots}},}}

0 references

DLMF id

DLMF:13.17.E1

0 references

Symbols used

Whittaker confluent hypergeometric function

Defining formula

{\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}

xml-id

C13.S14.E2.m2adec

0 references

Q11582

Defining formula

{\displaystyle{\displaystyle u_{n}}}

xml-id

C13.S17.XMD1.m1dec

0 references

Q11557

Defining formula

{\displaystyle{\displaystyle z}}

xml-id

C13.S1.XMD6.m1dec

0 references

@@ Property / Symbols used @@
+Whittaker confluent hypergeometric function
@@ Property / Symbols used: Whittaker confluent hypergeometric function / rank @@
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}$ 
\WhittakerconfhyperM{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}
+xml-id: C13.S14.E2.m2adec
@@ Property / Symbols used @@
+Q11582
@@ Property / Symbols used: Q11582 / rank @@
+Normal rank
@@ Property / Symbols used: Q11582 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle u_{n}}}$ 
u_{n}
@@ Property / Symbols used: Q11582 / qualifier @@
+xml-id: C13.S17.XMD1.m1dec
@@ 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.m1dec

DLMF:13.17.E1 (Q4564): Difference between revisions

${\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}$

${\displaystyle{\displaystyle u_{n}}}$

${\displaystyle{\displaystyle z}}$

Latest revision as of 16:12, 2 January 2020

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DLMF:13.17.E1 (Q4564): Difference between revisions

M κ , μ ⁡ ( z ) Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}

u n subscript 𝑢 𝑛 {\displaystyle{\displaystyle u_{n}}}

z 𝑧 {\displaystyle{\displaystyle z}}

Latest revision as of 16:12, 2 January 2020

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${\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}$

${\displaystyle{\displaystyle u_{n}}}$

${\displaystyle{\displaystyle z}}$