Expansions in Fadle-Papkovich functions in a strip. Theory foundations
Mikhail Denisovich Kovalenko, Tatiana D. Shulyakovskaya · Mechanics of Solids · 2011
We consider a boundary-value problem of elasticity for a half-strip with free longitudinal sides and some conditions at the end. We present a general scheme for solving the problem in the form of explicit expansions in Fadle—Papkovich functions and study the basis properties of systems of Fadle—Papkovich functions. The theory is based on the Borel transform in the class of quasi-entire functions of exponential type.