Final answer:
The special functions mentioned are advanced mathematical concepts used in various sophisticated areas of mathematics and are typically studied in detail at the college level, separate from basic discrete probability functions covered in grade 10.
Step-by-step explanation:
The modern special functions such as the Wright Function, Mittag-Leffler Function, Dini Function, Struve Function, Lommel Function, and Hyper-Bessel Function are advanced mathematical concepts that have various applications in differential equations, mathematical analysis, and other areas of mathematical research. These special functions are not typically part of basic discrete probability distributions like binomial, geometric, hypergeometric, and Poisson, which are more commonly discussed in elementary statistics courses.
Since the complexity of these special functions might not fit into the curriculum for discrete probability functions at the grade 10 level, they are often covered in advanced mathematics or college-level courses. For a deep understanding of these functions, individual modules or courses dedicated to their study would be appropriate, highlighting their significance and applications in greater detail.