Мультиплiкативне зображення резольвентної матрицi усiченої матричної проблеми моментiв Хаусдорфа в тер- мiнах нових параметрiв Дюкарева-Стiльтьєса.

  • Abdon E. Choque-Rivero Інститут фізики і математики, Університет Мічоачана Сан-Ніколас де Ідальго
Ключові слова: ортогональнi матричнi многочлени, параметри Дюкарева- Стiльтьєса, резольвентна матриця, неперервнi дроби

Анотація

Отримано мультиплiкативний розклад резольвентної матрицi усiченої матричної проблеми моментiв Хаусдорфа у випадку непарного та парного числа моментiв в термiнах нових матричних параметрiв Дюкарева-Стiльтьєса. Крiм того, ми перетворюємо множники Бляшке-Потапова допомiжних резольвентних матриць; кожний множник уявлено через параметри Дюкарева-Стiльтьєса.

Завантаження

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Посилання

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Опубліковано
2017-11-29
Цитовано
Як цитувати
Choque-Rivero, A. E. (2017). Мультиплiкативне зображення резольвентної матрицi усiченої матричної проблеми моментiв Хаусдорфа в тер- мiнах нових параметрiв Дюкарева-Стiльтьєса. Вісник Харківського національного університету імені В. Н. Каразіна. Серія «Maтeмaтикa, приклaднa мaтeмaтикa i механiка», 85, 16-42. https://doi.org/10.26565/2221-5646-2017-85-02
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