Formula:6956

Digital Library of Mathematical Functions ID 19.9.E17

${\displaystyle{\displaystyle L\leq F\left(\phi,k\right)\leq\sqrt{UL}\leq\tfrac{1}{2}(U+L)\leq U,}}$

Symbols List

• ${\displaystyle{\displaystyle F\left(\NVar{\phi},\NVar{k}\right)}}$: Legendre’s incomplete elliptic integral of the first kind
• ${\displaystyle{\displaystyle\phi}}$: real or complex argument
• ${\displaystyle{\displaystyle k}}$: real or complex modulus
• ${\displaystyle{\displaystyle L}}$: lower limit
• ${\displaystyle{\displaystyle U}}$: upper limit
 

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