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Yayın On the fractional sums of some special functions(Springer Basel AG, 2019-03) Ünalmış Uzun, BanuWe obtain new relations involving the Lerch transcendent and establish some closed-form expressions using special functions like the Riemann and Hurwitz zeta functions and fractional sums. We also get some formulae for the specific values of the derivative of Lerch transcendent.Yayın Fractional Hankel and Bessel wavelet transforms of almost periodic signals(Springer International Publishing, 2015-12-09) Ünalmış Uzun, BanuThe main objective of this paper is to study the Hankel, fractional Hankel, and Bessel wavelet transforms using the Parseval relation. We construct a generalized frame and write new relations and inequalities using almost periodic functions, strong limit power signals, and these transform methods.Yayın On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions(Springer International Publishing AG, 2017-06-02) Ünalmış Uzun, BanuWe state the fractional Fourier transform and the continuous fractional wave packet transform as ways for analyzing persistent signals such as almost periodic functions and strong limit power signals. We construct frame decompositions for almost periodic functions using these two transforms. Also a norm equality of this signal is given using the continuous fractional wave packet transform.












