Formula:5872

Digital Library of Mathematical Functions ID 15.13.E1

${\displaystyle{\displaystyle N(a,b,c)=\begin{cases}0,&a>0,\\ \left\lfloor-a\right\rfloor+\tfrac{1}{2}(1+S),&a<0,c-a>0,\\ \left\lfloor-a\right\rfloor+\tfrac{1}{2}(1+S)+\left\lfloor a-c+1\right\rfloor S,&a<0,c-a<0,\\ \end{cases}}}$

Symbols List

• ${\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}$:
• ${\displaystyle{\displaystyle a}}$: real or complex parameter
• ${\displaystyle{\displaystyle b}}$: real or complex parameter
• ${\displaystyle{\displaystyle c}}$: real or complex parameter
• ${\displaystyle{\displaystyle N(a,b,c)}}$: number of zeros
• ${\displaystyle{\displaystyle S}}$: S
 

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