Discrete analogues of the index transforms with squares of Bessel functions of the first and second kind $J_{\nu }(z),Y_{\nu }(z)$ are introduced and investigated. The corresponding inversion theorems for suitable classes of functions and sequences are established.

中文翻译：

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具有贝塞尔函数平方的离散索引变换

具有第一类和第二类贝塞尔函数平方的索引变换的离散类似物 ${Ĵ}_{\nu }(z),{是}_{\nu }(z)$介绍和调查。建立了适合函数和序列类别的相应反演定理。