About some generalizations of the properties of the Erdélyi–Kober operator and their application

Shakhobiddin T. Karimov

Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2017), pp. 20-40

Résumé

In this work a composition of Erdélyi–Kober operator with differential operators of the high order is proved. Applying the proved theorems, explicit formulas of a solution of the analogue of the singular Cauchy problem for the iterated Klein–Gordon–Fock equation.

Détail

Keywords: Erdélyi–Kober operator, Bessel differential operator, Klein–Gordon–Fock equation.

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