Класичні спеціальні функції з матричними змінними

• Datum: 2024
• Автори та афіліації: Dmytro Shutiak — World Data Center for Geoinformatics and Sustainable Development of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv; Gleb Podkolzin — Educational and Research Institute for Applied System Analysis of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv; Victor Bondarenko — Educational and Research Institute for Applied System Analysis of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv; Yury Chapovsky — Educational and Research Institute for Applied System Analysis of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv
• Ключові слова: keywords
• Hauptverfasser: Shutiak, Dmytro, Podkolzin, Gleb, Bondarenko, Victor, Chapovsky, Yury
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 2024
• Schlagworte: матриця; спеціальна функція; гамма-функція; бета-функція; тета-функції Якобі; Жорданова нормальна форма
• Online Zugang: https://journal.iasa.kpi.ua/article/view/322530
• Назва журналу: System research and information technologies

This article focuses on a few of the most commonly used special functions and their key properties and defines an analytical approach to building their matrix-variate counterparts. To achieve this, we refrain from using any numerical approximation algorithms and instead rely on properties of matrice...