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    Article

    On a multiplicative type sum form functional equation and its role in information theory

    In this paper, we obtain all possible general solutions of the sum form functional equations $$\sum\limits_{i = 1}^k {\sum\limits_{j ...

    Prem Nath, Dhiraj Kumar Singh in Applications of Mathematics (2006)

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    Article

    On a sum form functional equation and its applications in information theory and statistics

    The general solutions of a sum form functional equation containing five unknown map**s have been obtained. The importance of these solutions in information theory and statistics has also been discussed.

    Prem Nath, Dhiraj Kumar Singh in Aequationes mathematicae (2011)

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    Article

    On the general solutions of three functional equations

    The general solutions of the functional equations $$\begin{aligned} F(pq)= & {} q^\alpha G(p)+p^\alpha H(q)+K(p)L(q),\\ F(pq)= & {} q^\beta G(...

    Prem Nath, Dhiraj Kumar Singh in Aequationes mathematicae (2022)