Generalized S-function and its application to statistical distribution
Abstract
In this paper, we present p+q+m and p+q+2m parametric S-functions, exploring the relationships between these two types of functions. We derive their fundamental properties, including generating functions, recurrence relations, differential formulas and integral representations. From these results, we establish several notable
corollaries. Furthermore, we present a distribution function involving the S-function and compute the Laplace transform of its density function. Additionally, we explore the connections between the S-function and other significant transcendental functions.
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References
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