Let $$n\ge 3$$ be an integer and p a prime with $$p\equiv 1\pmod {n}$$ . In this paper, we show that $$\begin{aligned} {}_nF_{n-1}\bigg [\begin{array}{llll} \frac{n-1}{n}&{}\frac{n-1}{n}&{}\ldots &{}\frac{n-1}{n}\\ &{}1&{}\ldots &{}1\end{array}\bigg | \, 1\bigg ]_{p-1}\equiv -\Gamma _p\bigg (\frac{1}{n}\bigg )^n\pmod {p^3}, \end{aligned}$$ where the truncated hypergeometric series x_1&{}x_2&{}\...

In this paper, the discrete Erlang-truncated exponential distribution is defined by using general approach of discretizing a continuous while retaining its survival function. The statistical properties such as quantile function, moments, moment generating Rényi entropy and order statistics are calculated. estimation parameters model approached maximum likelihood (ML) method. stress-strength par...