Geodesic
About some generalizations of the properties of the Erd\'elyi--Kober operator and their application
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2017), pp. 20-40

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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.
Keywords: Erdélyi–Kober operator, Bessel differential operator, Klein–Gordon–Fock equation. 
@article{VKAM_2017_2_a1,
     author = {Shakhobiddin T. Karimov},
     title = {About some generalizations of the properties of the {Erd\'elyi--Kober} operator and their application},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {20--40},
     publisher = {mathdoc},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2017_2_a1/}
}
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Shakhobiddin T. Karimov. About some generalizations of the properties of the Erd\'elyi--Kober operator and their application. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2017), pp. 20-40. http://geodesic.mathdoc.fr/item/VKAM_2017_2_a1/