Literature Cited
H. Bateman and A. Erdelyi, Higher Transcendental Functions. The Hypergeometric Function, Legendre Functions, McGraw-Hill, New York (1953).
I. F. Vovkodav, “Logarithmic solutions of the hypergeometric differential equation of higher order,” Ukrainsk. Matem. Zh.,19, No. 4 (1967).
I. F. Vovkodav and A. D. Kovalenko, “Functional relations for logarithmic generalized hypergeometric functions,” Dopovidi Akad. Nauk UkrSSR, Ser. A (1969).
A. D. Kovalenko, “The generalization of Lommel's solutions,” Dopovidi Akad. Nauk UkrSSR, No. 4 (1964).
A. D. Kovalenko, Introduction to Thermoelasticity [in Russian], Naukova Dumka, Kiev (1965).
A. D. Kovalenko, “Development of the theory of hypergeometric functions in connection with problems of the elastic equilibrium of plates and shells,” Prikl. Matem. i Mekhan.,31, No. 2 (1967).
V. V. Novozhilov, The Theory of Thin Shells [in Russian], Sudpromgiz, Leningrad (1962).
H. C. Wang, “Generalized hypergeometric function solutions on the transverse vibration of a class of nonuniform beams,” J. Appl. Mech.,34, No. 3 (1967).
H. C. Wang and Y. C. Pao, “Radial deformations of cylindrical shells with variable wall thickness,” AIAA J.,6, No. 9 (1968).
Additional information
Institute of Mechanics, Academy of Sciences of the UkrainianSSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 6, pp. 114–119, May, 1970. Original article submitted 15, 1969.
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Kovalenko, A.D., Vovkodav, I.F. Use of generalized hypergeometric functions in the thermoelasticity of a cylindrical shell of variable thickness. Soviet Applied Mechanics 6, 546–550 (1970). https://doi.org/10.1007/BF00901850
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DOI: https://doi.org/10.1007/BF00901850