Geodesic
An analog of the Cauchy problem for the inhomogeneous multidimensional polycaloric equation containing the Bessel operator
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Mathematical Analysis, Tome 156 (2018), pp. 3-17
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An explicit formula for solutions of an analog of the Cauchy problem for the inhomogeneous multidimensional polycaloric equation containing the Bessel operator is obtained. The construction of a solution is based on the application of the multidimensional Erdélyi–Kober operator of fractional order.
Keywords: Cauchy problem, equation polycaloric, Erdélyi–Kober operator, Bessel differential operator. 
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Shakhobiddin T. Karimov. An analog of the Cauchy problem for the inhomogeneous multidimensional polycaloric equation containing the Bessel operator. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Mathematical Analysis, Tome 156 (2018), pp. 3-17. http://geodesic.mathdoc.fr/item/INTO_2018_156_a0/

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