Published March 30, 2023
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TUB SONLARDA GARMONIK QATOR XARAKTERISTIKASI
- 1. Sharof Rashidov nomidagi Samarqand davlat universiteti, matematika fakulteti,1-bosqich magistranti
Description
Ma’lumki matematikaning turli yo‘nalishlarida sonli qatorlar keng qo‘llaniladi. Ammo qatorlar tarkibiga kiradigan bazi turlarini yaqinlashuvchi yoki uzoqlashuvchi ekanini odatiy uslublarda ko‘rsatish birmuncha qiyin yoki deyarli imkonsiz.Shu sababli tub son orqali shakllantirilgan garmonik qatorni uzoqlashuvchi ekanini 3 xil ajoyib isbotini ushbu maqolada keltirib o‘tamiz.
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- Journal article: 10.5281/zenodo.7787015 (DOI)
References
- 1. Matematik analiz. 1-qism ( T. Azlarov, X. Mansurov ) 2. Malcolm R. Adams. Sequences and Series: An Introduction to Mathematical Analysis 3. H.L.Royden, P.M. Fitzpatrick, Real Analysis ( fourth edition) 4. Miklos Lacskovich, Vera T. Sos, Real Analysis: Series, Functions of Several Variables, and Applications 5. Robert Magnus, Fundamental Mathematical Analysis 6. Richard Beals. Advanced Mathematical Analysis 7. Walter Rudin. Principles of Mathematical Analysis 8. Titu Andreescu. Dorin Andrica. Number theory: Structures, Examples and Problems 9. Titu Andreescu. Gabriel Dospinescu. Oleg Mushkarov. Number theory: Concepts and Problems