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On q-integral transforms and their applications

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In this paper, we introduce a q-analogue of the P-Widder transform and give a Parseval-Goldstein type theorem. Furthermore, we evaluate the q-Laplace transform of a product of q-Bessel functions. Several special cases of our results are also pointed out.

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Albayrak D., Purohit S. D., UÇAR F., "ON q-INTEGRAL TRANSFORMS AND THEIR APPLICATIONS", BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.4, sa.2, ss.103-115, 2012

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