Keywords
Abstract
Ushbu tezis umumlashgan maxsus funksiyalardan biri bo‘lgan Foksning H-funksiyasi va uning ayrim muhim xususiy hollari uchun asimptotik baholash masalalariga bag‘ishlangan. Foksning H-funksiyasi ko‘plab maxsus funksiyalarni, jumladan, Meijerning G-funksiyasi, Mittag–Leffler funksiyalari hamda gipergeometrik funksiyalarni yagona integral ko‘rinishda umumlashtirishi bilan ajralib turadi. Tezisda ushbu funksiyaning ta’rifi, asosiy analitik xossalari va parametrlar sohasiga bog‘liq holda asimptotik xulq-atvori o‘rganiladi. Shuningdek, ayrim xususiy hollarda asimptotik formulalar chiqarilib, ularning matematik fizika va kasr tartibli differensial tenglamalardagi ahamiyati yoritiladi.
References
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