DLMF:14.20.E3 (Q4924): Difference between revisions

Revision as of 13:31, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:14.20.E3	No description defined

{\displaystyle{\displaystyle\widehat{\mathsf{Q}}^{-\mu}_{-\frac{1}{2}+\mathrm{% i}\tau}\left(x\right)=\frac{\pi e^{-\tau\pi}\sin\left(\mu\pi\right)\sinh\left(% \tau\pi\right)}{2({\cosh^{2}}\left(\tau\pi\right)-{\sin^{2}}\left(\mu\pi\right% ))}\mathsf{P}^{-\mu}_{-\frac{1}{2}+\mathrm{i}\tau}\left(x\right)+\frac{\pi(e^{% -\tau\pi}{\cos^{2}}\left(\mu\pi\right)+\sinh\left(\tau\pi\right))}{2({\cosh^{2% }}\left(\tau\pi\right)-{\sin^{2}}\left(\mu\pi\right))}\mathsf{P}^{-\mu}_{-% \frac{1}{2}+\mathrm{i}\tau}\left(-x\right).}}

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DLMF:14.20.E3

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{\displaystyle{\displaystyle\mathsf{P}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}

C14.S3.E1.m2aadec

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{\displaystyle{\displaystyle\widehat{\mathsf{Q}}^{-\NVar{\mu}}_{\NVar{-\frac{1% }{2}+i\tau}}\left(\NVar{x}\right)}}

C14.S20.E2.m2aadec

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@@ Property / Symbols used @@
+conical function
@@ Property / Symbols used: conical function / rank @@
+Normal rank
@@ Property / Symbols used: conical function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\widehat{\mathsf{Q}}^{-\NVar{\mu}}_{\NVar{-\frac{1% }{2}+i\tau}}\left(\NVar{x}\right)}}$ 
\DunsterQ{-\NVar{\mu}}{\NVar{-\frac{1}{2}+i\tau}}@{\NVar{x}}
@@ Property / Symbols used: conical function / qualifier @@
+xml-id: C14.S20.E2.m2aadec