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Two representations of the extended gamma functions Γ 2,0 0,2 [(b, x)] are proved. These representations are exploited to find a transformation relation between two Fox's H-functions. These results are used to solve Fox's H-function in terms of Meijer's G-function for certain values of the parameters. A closed form representation of the kernel of the Bessel(More)
Corresponding to the incomplete gamma functions, found useful in many problems, we propose incomplete exponential functions. Like the generalized incomplete gamma functions, the proposed functions have an additional parameter. It is shown that these functions can be related to Bessel functions. This leads us naturally to an incomplete extension of the(More)
A vertex u in a graph G resolves a pair of distinct vertices x, y of G if the distance between u and x is different from the distance between u and y. A set W of vertices in G resolves the graph G if every pair of distinct vertices of G is resolved by some vertices in W. The metric dimension of a graph, denoted by dim(G), is the smallest cardinality of a(More)
Recommended by Virginia Kiryakova Fermi-Dirac and Bose-Einstein functions arise as quantum statistical distributions. The Riemann zeta function and its extension, the polylogarithm function, arise in the theory of numbers. Though it might not have been expected, these two sets of functions belong to a wider class of functions whose members have operator(More)