1 citations · 2 across the 8 of their papers we have counts for
8 papers
Recurrence relations for the Maclaurin coefficients of products of elementary functions and Hypergeometric functions
Zhong-Xuan Mao, Jing-Feng Tian
In this paper, we investigate the recurrence relations for the Maclaurin coefficients of the products of elementary functions and hypergeometric functions. Specifically, we focus o…
Recurrence Relations for the Maclaurin Coefficients of Products of Elementary Functions and the Bessel Functions
Zhong-Xuan Mao, Jing-Feng Tian
In this paper, we investigate recurrence relations for the Maclaurin coefficients of the products of a elementary function and the Bessel function of the first kind $\mathcal{J}(z)…
Recurrence relations for the coefficients of the confluent and Gauss hypergeometric functions in the complex plane
Zi-Qiao Xu, Zhong-Xuan Mao, Jing-Feng Tian
For , where is the complex plane, , let \begin{equation*} \mathcal{M}\left( z\right) =\left( 1-…
Recurrence relations and applications for the Maclaurin coefficients of squared and cubic hypergeometric functions
Zhong-Xuan Mao, Jing-Feng Tian
In this paper, we present and prove that the coefficients and in the series expansions and $F^3(a,b;c;z) = \sum_{n=0}^\infty…
Monotonicity rules for the ratio of power series
Zhong-Xuan Mao, Jing-Feng Tian
In this paper, we present some monotonicity rules for the ratio of two power series under the assumption that the m…
Y-function and L'Hospital-type Monotonicity Rules with Nabla and Diamond-Alpha Derivatives on Time Scales
Xiao-Yue Du, Zhong-Xuan Mao, Jing-Feng Tian
The main objective of this paper is to establish the -function and L'Hospital-type monotonicity rules with nabla and diamond-alpha derivatives on time scales.
Some monotonicity rules for quotient of integrals on time scales
Zhong-Xuan Mao, Xiao-Yue Du, Jing-Feng Tian
As an efficient mathematical tool, monotonicity rules play an extremely crucial role in the real analysis field. In this paper, we explore some monotonicity rules for quotient of D…
Monotonicity rules for the ratio of two function series and two integral transforms
Zhong-Xuan Mao, Jing-Feng Tian
In this paper, we investigate the monotonicity of the functions and $x \mapsto \frac{\int_α^βf(t) w(t,…