DLMF:15.9.E14 (Q5104): Difference between revisions

Revision as of 14:10, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:15.9.E14	No description defined

{\displaystyle{\displaystyle\Phi^{(\alpha,\beta)}_{\lambda}(t)=(2\cosh t)^{% \mathrm{i}\lambda-\alpha-\beta-1}F\left({\tfrac{1}{2}(\alpha+\beta+1-\mathrm{i% }\lambda),\tfrac{1}{2}(\alpha-\beta+1-\mathrm{i}\lambda)\atop 1-\mathrm{i}% \lambda};{\operatorname{sech}^{2}}t\right).}}

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DLMF:15.9.E14

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

C15.S2.E1.m2akdec

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{\displaystyle{\displaystyle\cosh\NVar{z}}}

C4.S28.E2.m2aadec

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{\displaystyle{\displaystyle\operatorname{sech}\NVar{z}}}

C4.S28.E6.m2adec

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@@ Property / Symbols used @@
+hyperbolic secant function
@@ Property / Symbols used: hyperbolic secant function / rank @@
+Normal rank
@@ Property / Symbols used: hyperbolic secant function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{sech}\NVar{z}}}$ 
\sech@@{\NVar{z}}
@@ Property / Symbols used: hyperbolic secant function / qualifier @@
+xml-id: C4.S28.E6.m2adec