EYLER INTEGRALLARI VA MITTAG-LEFFLER FUNKSIYASINING ZAMONAVIY FIZIKA VA MATEMATIKADAGI ROLI
Abstract
Matematik analizning asosiy vositalaridan bo‘lgan Eyler integrallari va Mittag-Leffler funksiyasi zamonaviy matematika va fizikaning muhim komponentlari hisoblanadi. Ular ko‘p sonli differentsial tenglamalarni yechishda va murakkab fizik jarayonlarni modellashda keng qo‘llaniladi. Eyler integrallari gamma va beta funksiyalarini o‘z ichiga olib, maxsus funksiyalar oilasini yaratadi. Mittag-Leffler funksiyasi esa fraksional differentsial tenglamalarni yechishda va anomal diffuziya kabi murakkab fizik jarayonlarni tavsiflashda qo‘llaniladigan umumlashgan funksiyadir. Ushbu maqolada ushbu ikki matematik tushunchaning nazariy va amaliy qo‘llanilish sohalari tahlil qilinadi.
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