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Mathematics, Volume 13, Issue 14

July-2 2025 - 107 articles

Cover Story: Here, we describe the use of confluent Darboux transformations for Schrödinger operators, and how they give rise to explicit Wronskian formulae for certain algebraic solutions of Painlevé equations. As a preliminary illustration, we briefly describe how the Yablonskii–Vorob’ev polynomials arise in this way, thus providing well-known expressions for the tau functions of the rational solutions of the Painlevé II equation. We then proceed to apply the method to obtain the main result, namely, a new Wronskian representation for the Ohyama polynomials, which correspond to the algebraic solutions of the Painlevé III equation of type D7View this paper
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Articles (107)

  • Article
  • Open Access
728 Views
24 Pages

21 July 2025

In this paper, an exponential delay feedback method is proposed to improve the performance of the digital chaotic maps against their dynamical degradation. In this paper, the performance of the scheme is verified using one-dimensional linear, exponen...

  • Article
  • Open Access
1,114 Views
24 Pages

21 July 2025

Accurate carbon price forecasting is essential for market stability, risk management, and policy-making. To address the nonlinear, non-stationary, and multiscale nature of carbon prices, this paper proposes a forecasting framework integrating seconda...

  • Article
  • Open Access
472 Views
14 Pages

21 July 2025

Number sequences are among the research areas of interest in both number theory and linear algebra. In particular, the study of matrix representations of recursive sequences is important in revealing the structural properties of these sequences. In t...

  • Article
  • Open Access
4,297 Views
35 Pages

21 July 2025

Medical Visual Question Answering (MedVQA) lies at the intersection of computer vision, natural language processing, and clinical decision-making, aiming to generate accurate responses from medical images paired with complex inquiries. Despite recent...

  • Feature Paper
  • Article
  • Open Access
553 Views
21 Pages

21 July 2025

In fluid mechanics, most studies on flow structure analysis are simply based on the velocity gradient, which only involves the linear part of the velocity field and does not focus on the isotropic point. In this paper, we are concerned with a general...

  • Feature Paper
  • Article
  • Open Access
361 Views
13 Pages

21 July 2025

In this work, we prove the convergence to 0 in both L1 and L2 of the Bayes estimator of a regression curve (i.e., the conditional expectation of the response variable given the regressor). The strong consistency of the estimator is also derived. The...

  • Article
  • Open Access
848 Views
20 Pages

Smooth UAV Path Planning Based on Composite-Energy-Minimizing Bézier Curves

  • Huanxin Cao,
  • Zhanhe Du,
  • Gang Hu,
  • Yi Xu and
  • Lanlan Zheng

21 July 2025

Path smoothing is an important part of UAV (Unmanned Aerial Vehicle) path planning, because the smoothness of the planned path is related to the flight safety and stability of UAVs. In existing smooth UAV path planning methods, different characterist...

  • Article
  • Open Access
676 Views
12 Pages

Symmetry and Quantum Calculus in Defining New Classes of Analytic Functions

  • Fuad Alsarari,
  • Abdulbasit Darem,
  • Muflih Alhazmi and
  • Alaa Awad Alzulaibani

21 July 2025

This paper introduces a novel class of analytic functions that integrates q-calculus, Janowski-type functions, and (a, b)-symmetrical functions. By exploring convolution operations and quantum calculus, we establish essential convolution conditions t...

  • Article
  • Open Access
832 Views
18 Pages

21 July 2025

Establishing a high-precision passenger flow prediction model is a critical and complex task for the optimization of urban rail transit systems. With the development of artificial intelligence technology, the data-driven technology has been widely st...

  • Article
  • Open Access
1,731 Views
23 Pages

Beyond Standard Losses: Redefining Text-to-SQL with Task-Specific Optimization

  • Iker Azurmendi,
  • Ekaitz Zulueta,
  • Gustavo García,
  • Nekane Uriarte-Arrazola and
  • Jose Manuel Lopez-Guede

20 July 2025

In recent years, large language models (LLMs) have shown an impressive ability in translating text to SQL queries. However, in real-world applications, standard loss functions frequently fail to capture the complexity of queries adequately. Therefore...

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Mathematics - ISSN 2227-7390