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Mathematics, Volume 13, Issue 11

June-1 2025 - 206 articles

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Cover Story: In this paper, we present two symbolic methods, in particular, the method starting from the source identity, umbra identity, for constructing identities of s-Appell polynomials related to Stirling numbers and binomial coefficients. We discuss some properties of s-Appell polynomial sequences related to Riordan arrays, Sheffer matrices, and their q analogs. View this paper

Articles (206)

  • Article
  • Open Access
1,133 Views
22 Pages

Research on a PTSD Risk Assessment Model Using Multi-Modal Data Fusion

  • Youxi Luo,
  • Yucui Shang,
  • Dongfeng Zhu,
  • Tian Zhang and
  • Chaozhu Hu

5 June 2025

Post-traumatic stress disorder (PTSD) is a complex psychological disorder caused by multiple factors, which are not only related to individual psychological states but also closely linked to physiological responses, social environments, and personal...

  • Article
  • Open Access
554 Views
16 Pages

5 June 2025

In this paper, we propose a numerical method for the fractional Bagley–Torvik equation of variable coefficients with Robin boundary conditions. The problem is approximated using a finite difference scheme on a uniform mesh that combines the L1...

  • Feature Paper
  • Article
  • Open Access
583 Views
23 Pages

5 June 2025

This paper comprehensively examines symmetric difference operators within logical systems generated by nilpotent t-norms and t-conorms, specifically addressing their behavior and applicability in bounded and Łukasiewicz fuzzy logic systems. We i...

  • Feature Paper
  • Article
  • Open Access
439 Views
35 Pages

Correctness of Fuzzy Inference Systems Based on f-Inclusion

  • Carolina Díaz-Montarroso,
  • Nicolás Madrid and
  • Eloísa Ramírez-Poussa

5 June 2025

Recent work has shown that the f-index of inclusion can serve as a foundation for modeling Generalized Modus Ponens. In this paper, we develop a novel fuzzy inference system based on this inference rule. To establish its soundness, we connect it to a...

  • Article
  • Open Access
658 Views
23 Pages

5 June 2025

The cross-border port serves as a crucial cross-border travel connecting mainland China with Hong Kong and Macau, directly impacting the overall satisfaction of cross-border travel. While previous studies on neighborhoods, communities, and other area...

  • Article
  • Open Access
1 Citations
496 Views
30 Pages

5 June 2025

With the growing severity of global climate change, forecasting and managing carbon dioxide (CO2) emissions has become one of the critical tasks in addressing climate change. To improve the accuracy of CO2 emission forecasting, an innovative framewor...

  • Article
  • Open Access
1 Citations
1,401 Views
23 Pages

Modeling Time Series with SARIMAX and Skew-Normal and Zero-Inflated Skew-Normal Errors

  • M. Alejandro Dinamarca,
  • Fernando Rojas,
  • Claudia Ibacache-Quiroga and
  • Karoll González-Pizarro

5 June 2025

This study proposes an extension of Seasonal Autoregressive Integrated Moving Average models with exogenous regressors (SARIMAX) by incorporating skew-normal and zero-inflated skew-normal error structures to better accommodate asymmetry and excess ze...

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