Asymptotic formulas associated with psi function with applications

Asymptotic Distribution of Divergence Measure with Applications

Asymptotic behaviour of associated primes of monomial ideals with combinatorial applications

Let  $R$ be a commutative Noetherian ring and $I$ be an ideal of $R$. We say that $I$ satisfies the persistence property if  $mathrm{Ass}_R(R/I^k)subseteq mathrm{Ass}_R(R/I^{k+1})$ for all positive integers $kgeq 1$, which $mathrm{Ass}_R(R/I)$ denotes the set of associated prime ideals of $I$. In this paper, we introduce a class of square-free monomial ideals in the polynomial ring  $R=K[x_1,ld...

Asymptotic Expansions of the Gamma Function Associated with the Windschitl and Smith Formulas

In this paper, we develop the Windschitl and Smith formulas for the gamma function to complete asymptotic expansions and provide explicit formulas for determining the coefficients of these asymptotic expansions. Furthermore, we establish new asymptotic expansions for the ratio of gamma functions Γ(x + 1)/Γ(x + 1 2 ).

asymptotic behaviour of associated primes of monomial ideals with combinatorial applications

let  $r$ be a commutative noetherian ring and $i$ be an ideal of $r$. we say that $i$ satisfies the persistence property if  $mathrm{ass}_r(r/i^k)subseteq mathrm{ass}_r(r/i^{k+1})$ for all positive integers $kgeq 1$, which $mathrm{ass}_r(r/i)$ denotes the set of associated prime ideals of $i$. in this paper, we introduce a class of square-free monomial ideals in the polynomial ring  $r=k[x_1,ld...

Evaluation of Factors Associated with Sexual Function in Infertile Women

Objective Infertility is a major and problem influencing different aspects of couples life, especially those of women. Sexual dysfunction is the silent partner of infertility. This study aimed to identify the above-mentioned factors to make necessary decisions and perform efficient interventions to improve the sexual health of infertile women. This study investigated the factors influencing sex...