Formula:3436

Digital Library of Mathematical Functions ID 8.21.E16

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \gensinint@{a}{z}=z^{a}\sum_{k=0}^{\infty}\frac{\left(2k+\frac{3}{2}\right)\Pochhammersym{1-\frac{1}{2}a}{k}}{\Pochhammersym{\frac{1}{2}+\frac{1}{2}a}{k+1}}\sphBesselJ{2k+1}@{z},}

Constraint(s)

${\displaystyle{\displaystyle a\neq-1,-3,-5,\dots}}$

Symbols List

• ${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$:
• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \gensinint@{\NVar{a}}{\NVar{z}}} : generalized sine integral
• ${\displaystyle{\displaystyle\mathsf{j}_{\NVar{n}}\left(\NVar{z}\right)}}$: spherical Bessel function of the first kind
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle a}}$: parameter
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
 

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