On distributional second modified Marchi-Zgrablich integral transform. (English) Zbl 1016.46031
In this interesting paper, the authors study distributional second modified Marchi-Zgrablich integral transforms. The inversion and operation transform formulae have been established. The inversion formula proved herein gives rise to a Fourier-Bessel series expansion of generalized functions. Numerical illustrations and applications of the findings of the paper to solve the problem of torsional deformations of a magnetostrictive cylindrical shell are also discussed.
Reviewer: K. C. Gupta (Jaipur)
MSC:
46F12 | Integral transforms in distribution spaces |
44A20 | Integral transforms of special functions |
74K25 | Shells |
74F15 | Electromagnetic effects in solid mechanics |