Geodesic
Operator hypergeometric functions
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 174 (2020), pp. 37-45.

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We consider operator hypergeometric functions 1F2(⋅) and 2F3(⋅) constructed by an unbounded operator. Using these functions, we solve Cauchy problems for singular integro-differential equations. A new pair of similar operators is given.
Mots-clés : transformation operator, Bessel operator function, Bessel–Struve operator function, operator hypergeometric function, integro-differential equation. 
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A. V. Glushak. Operator hypergeometric functions. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 174 (2020), pp. 37-45. https://geodesic-test.mathdoc.fr/item/INTO_2020_174_a3/

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