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math.CA2018
Extensions of Karlsson-Minton summation theorem and some consequences of the first Miller-Paris transformation
Dmitrii B. Karp, Elena G. Prilepkina
In this paper we give several independent extensions of the Karlsson-Minton summation formula for the generalized hypergeometric function with integral parameters differences. In p…
math.CA2018
Degenerate Miller-Paris transformations
Dmitrii B. Karp, Elena G. Prilepkina
Important new transformations for the generalized hypergeometric functions with integral parameter differences have been discovered some years ago by Miller and Paris and studied i…