DLMF:15.4.E5 (Q4988): Difference between revisions

Latest revision as of 13:47, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:15.4.E5	No description defined

{\displaystyle{\displaystyle F\left(\tfrac{1}{2},\tfrac{1}{2};\tfrac{3}{2};-z^% {2}\right)=z^{-1}\ln\left(z+\sqrt{1+z^{2}}\right).}}

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DLMF:15.4.E5

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{\displaystyle{\displaystyle F\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)}}

C15.S2.E1.m2addec

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{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2abdec

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{\displaystyle{\displaystyle z}}

C15.S1.XMD3.m1ddec

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@@ Property / Symbols used @@
+principal branch of logarithm function
@@ Property / Symbols used: principal branch of logarithm function / rank @@
+Normal rank
@@ Property / Symbols used: principal branch of logarithm function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\ln\NVar{z}}}$ 
\ln@@{\NVar{z}}
@@ Property / Symbols used: principal branch of logarithm function / qualifier @@
+xml-id: C4.S2.E2.m2abdec
@@ Property / Symbols used @@
+Q11644
@@ Property / Symbols used: Q11644 / rank @@
+Normal rank
@@ Property / Symbols used: Q11644 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11644 / qualifier @@
+xml-id: C15.S1.XMD3.m1ddec