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- W2017050264 abstract "A common generalization of both the Jackson and the Hahn-Exton q-Bessel function is studied. For this q-analogue of the Bessel function an analogue of Graf's addition formula is proved. From this result we obtain Hansen-Lommel type orthogonality relations and a q-analogue of Lommel's formula. Considering the results from a different point of view yields q-analogues of an integral of Weber and Sonine and of the Hankel (or Fourier-Bessel) transform." @default.
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- W2017050264 date "1993-12-01" @default.
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- W2017050264 title "A basic analogue of graf's addition formula and related formulas" @default.
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- W2017050264 doi "https://doi.org/10.1080/10652469308819019" @default.
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