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On hypergeometric summability involving infinite limits

On hypergeometric summability involving infinite limits

where x(«)> termed the regular mass function, is a function of bounded variation in the closed interval (0, l).4If H denotes a regular transformation of the form (1) as defined by (2), we use the symbol .ff~x-BThe transformation(1), when regular, is said to be totally regular in case s"-> <x> …