Summary
A large number of new expansions of hypergeometric functions in terms of hypergeometric functions have been established by numerous mathematicians from time to time, generalizing the previous ones. Here an attempt has been made to establish certain new expansions, with the help of Laplace transform and its inverse which extend almost all such expansions besides being the most general ones.
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Denis, R.Y. On certain expansions of generalized hypergeometric functions involving free parameters. Rend. Circ. Mat. Palermo 21, 42–46 (1972). https://doi.org/10.1007/BF02844230
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DOI: https://doi.org/10.1007/BF02844230