In this article, there are considered some applications of complex variable power series, in which with the help of Bernoulli’s numbers, the method of calculating the sum p+2^p+3^p+...+n^p=Σj^p for an arbitrary natural number p is given. The article may be of interest to senior undergraduate students majoring in mathematics and master's degree students.
| Mualliflar | Prenov, B.B., Abdullayev, J.Sh., Xaldibayeva, I.T. |
|---|---|
| Jurnal | Ilim ha’m ja’miyet |
| Nashriyot | Нукус давлат педагогика институти |
| ISSN | 2010-720x, 2181-1555 |
| Nashr sanasi | 2025-03-29 |
| Son | 2-1 |
| Betlar | 30-34 |
| Til | O‘zbek |
| Indeksga qo‘shilgan | 2026-08-26 |
Bernulli sonlari, darajali qatorlar, yaqinlashish radiusi, chekli yigʻindi, числа Бернулли, степенные ряды, радиус схадимости, конечная сумма, Bernoulli numbers, power series, radius of convergence, terminating sum
| APA | Prenov, B.B., Abdullayev, J.Sh., & Xaldibayeva, I.T. (2025). BERNULLI SONLARINING BA’ZI TADBIQLARI. Ilim ha’m ja’miyet, (2-1), 30-34. https://journal.ndpi.uz/index/article/view/2025-2-1-011 |
|---|---|
| GOST (OAK) | Prenov, B.B., Abdullayev, J.Sh., Xaldibayeva, I.T. BERNULLI SONLARINING BA’ZI TADBIQLARI // Ilim ha’m ja’miyet. – 2025. – № 2-1. – B. 30-34. |
| MLA | Prenov, B.B., Abdullayev, J.Sh., and Xaldibayeva, I.T. “BERNULLI SONLARINING BA’ZI TADBIQLARI.” Ilim ha’m ja’miyet, (2-1), 30-34, 2025. https://journal.ndpi.uz/index/article/view/2025-2-1-011 |
| Chicago | Prenov, B.B., Abdullayev, J.Sh., and Xaldibayeva, I.T. “BERNULLI SONLARINING BA’ZI TADBIQLARI.” Ilim ha’m ja’miyet, (2-1), 30-34 (2025). https://journal.ndpi.uz/index/article/view/2025-2-1-011 |
| Harvard | Prenov, B.B., Abdullayev, J.Sh., and Xaldibayeva, I.T (2025) ‘BERNULLI SONLARINING BA’ZI TADBIQLARI’, Ilim ha’m ja’miyet, (2-1), 30-34. https://journal.ndpi.uz/index/article/view/2025-2-1-011 |
| BibTeX | @article{prenovbb2025,
title = {BERNULLI SONLARINING BA’ZI TADBIQLARI},
author = {Prenov, B.B. and Abdullayev, J.Sh. and Xaldibayeva, I.T.},
journal = {Ilim ha’m ja’miyet},
year = {2025},
number = {2-1},
pages = {30-34},
url = {https://journal.ndpi.uz/index/article/view/2025-2-1-011}
} |
Boshqa maqola uchun iqtibos tayyorlash
The article discusses the issues of assessing the impact of vehicle emissions on the environment in the Republic of Karakalpakstan. It examines the main sources of air and soil pollution, as well as their effects on the…
It was studied how the single-layer quantum density of MoS2 changes according to the Fermi level under the action of a microwave field. It was shown that in 2D materials, a higher quantum density value serves to…
This article analyzes mathematical models and methods for determining the proportionality of yield in relation to the amount of water. The main goal of the article is to propose scientifically grounded solutions for the…
The article highlights the emergence of the digital economy and related technologies, which provide many perspectives for working with uncertain data in agriculture. Mainly, the possibilities of using advanced…
This article explores the role of advanced sensors in monitoring and regulating essential environmental parameters such as temperature, humidity, carbon dioxide, oxygen, and ethylene levels. By integrating IoT…
The article develops a numerical model for solving non-stationary problems of heat dissipation in homogeneous and non-homogeneous axisymmetric bodies based on the finite element method, and creates an algorithm and…
The article presents scientific and technical data on the hydroisomerization of gasoline fractions in which benzene accumulates as a way to obtain environmentally friendly and high-octane components of motor fuel. Data…
This work studies the problems of constructing continuous solutions of a system of linear differential equations of the form x(t+1)=A(t)x(t)+B(t) with coefficients equal to 1. Here t∈R=(-∞,+∞), A(t) is a real continuous…
Based on the Nott and De-Massa theory was calculated, the dependence of the tunnel diode on the diffusion capacitance and the peak current in the tunnel diode. In addition, it was observed that the peak voltage value…
The article states that in the results of growing erbium-doped epitaxial silicon layers using two different growth modes: conventional molecular beam epitaxy (MBE) and solid-phase epitaxy (SPE) are presented. It has…
Ilim ha’m ja’miyet — barcha maqolalar · 2025-yil arxivi
The article is devoted to the description of the modular credit system of teaching and its advantages in modern education.
The article is dedicated to the 1050th anniversary of the famous Central Asian scientist Abu Rayhan Beruni and his scientific activities in mathematics.
The article discusses the experience of using artificial intelligence in the world's leading universities and the problems of artificial intelligence being applied in Uzbekistan.
This article considers the modernization of the educational process, increasing the professional training of future teachers, and their requirements to use new methods and new pedagogical technologies.
This article will analyze the experience of using e-learning in the world's leading higher education institutions and the methods of e-learning used in Uzbekistan. The technologies for creating electronic educational…