Formula:6425

Digital Library of Mathematical Functions ID 18.16.E5

${\displaystyle{\displaystyle\theta_{n,m}>\frac{\left(m+\tfrac{1}{2}\alpha-\tfrac{1}{4}\right){\pi}}{n+\alpha+\tfrac{1}{2}},}}$

Constraint(s)

${\displaystyle{\displaystyle m=1,2,\dots,\left\lfloor\tfrac{1}{2}n\right\rfloor}}$
${\displaystyle{\displaystyle\alpha\in(-\tfrac{1}{2},\tfrac{1}{2})}}$
${\displaystyle{\displaystyle m=1,2,\dots,\left\lfloor\tfrac{1}{2}n\right\rfloor}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\in}}$:
• ${\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}$:
• ${\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}$:
• ${\displaystyle{\displaystyle m}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle\theta_{n,m}}}$: zeros
 

Resources that cite this formula

No records found.