The general chain transform and self-reciprocal functions

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A theory of a generalized form of the chain transforms of order n is developed, and various properties of these are established including the Parseval relation. Most known cases of the standard theory are derived as special cases. Also a theory of self-reciprocal functions is given, based on these general chain transforms; and relations among various classes of self-reciprocal functions are established.

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Cyril Nasim, “The general chain transform and self-reciprocal functions,” International Journal of Mathematics and Mathematical Sciences, vol. 8, no. 1, pp. 57-68, 1985. doi:10.1155/S0161171285000059

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