Supriya Ghosh (Editor)

Hahn–Exton q Bessel function

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In mathematics, the Hahn–Exton q-Bessel function or the third Jackson q-Bessel function is a q-analog of the Bessel function, introduced by Hahn (1953) in a special case and by Exton (1983) in general.

The Hahn–Exton q-Bessel function is given by

J ν ( 3 ) ( x ; q ) = x ν ( q ν + 1 ; q ) ∞ ( q ; q ) ∞ ∑ k ≥ 0 ( − 1 ) k q k ( k + 1 ) / 2 x 2 k ( q ν + 1 ; q ) k ( q ; q ) k

References

Hahn–Exton q-Bessel function Wikipedia
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