Identities on fractional integrals and various integral transforms

DOI10.1016/j.amc.2006.09.001zbMath1127.44001OpenAlexW1974795389MaRDI QIDQ884164

Osman Yürekli

Publication date: 13 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.09.001

zbMATH Keywords

Laplace transformStieltjes transformcomplementary error functionerror functionfractional derivativesHankel transformBessel functionsRiemann-Liouville fractional integralgeneralized Stieltjes transformWeyl fractional integralexponential integral functionWidder potential transform\(K\)-transformmodified Bessel functions of the third kindParseval-Goldstein type of identities

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Laplace transform (44A10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

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On paranorm I-convergent sequence spaces defined by a compact operator, \(q\)-deformed conformable fractional natural transform, Some identities on fractional integrals and integral transforms

Cites Work

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• Some inversion formulas for the widder potential transform
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