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NEW INTEGRAL AND SERIES REPRESENTATIONS OF THE GENERALIZED MATHIEU SERIESDOI: 10.2298/aadm0802205t Keywords: Integral representations , Mathieu series , alternating Mathieu series , Fourier sine transforms , Bessel function , Gauss hypergeometric function , generalized hypergeometric function Abstract: By using some recently investigated Fourier sine integral representations for the Mathieu type series (see [4]), new integral and series representations are derived here for certain general families of Mathieu type series.
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