Jing-feng Tian

collaborators

4 papers

math.CV2026

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…

math.CV2026

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)…

math.CV2026

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 $a, b, c, z, p, I^¸ \in C$ , where $C$ is the complex plane, $- c \in / N \cup {0}$ , let \begin{equation*} \mathcal{M}\left( z\right) =\left( 1…

math.CA2026

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 $u_{n}$ and $v_{n}$ in the series expansions $F^{2} (a, b; c; z) = \sum_{n = 0}^{\infty} u_{n} z^{n}$ and $F^3(a,b;c;z) = \sum_{n=0}^\infty…