Infinite series convergence and its engineering implications in theoretical mathematical studies
Raju M Sairiserairise566@gmail.comDepartment of Electronics & Telecommunication Engineering Yadavrao Tasgaonkar College of Engineering and ManagementDepartment of Electronics & Telecommunication Engineering Yadavrao Tasgaonkar College of Engineering and TechnologyBardi, Maharashtra, 410201, IndiaView full profile → , *Nilesh M PawarCorresponding authornmp206@gmail.comDepartment of Information Technology Yadavrao Tasgaonkar Institute of Engineering and TechnologyDepartment of Information Technology Yadavrao Tasgaonkar College of Engineering and TechnologyBardi, Maharashtra, 410201, IndiaView full profile → , Ashutosh Panchbhaiashutosh.panchbhai@symlaw.ac.inSymbiosis Centre for Advanced Legal Studies and Research (SCALSAR) Symbiosis Law School Pune (SLS-P) Symbiosis International (Deemed University)Symbiosis Centre for Advanced Legal Studies and Research Symbiosis Law School Pune Symbiosis International (Deemed University)Pune, Maharashtra, 411014, IndiaView full profile → , Tanveer Ahmad Wanitanveer.ahmad@niu.edu.inDepartment of Physics Noida International UniversityNoida, Uttar Pradesh, 203201, DelhiView full profile → , Dharmesh Dhabliyadharmesh.dhabliya@viit.ac.inDepartment of Information Technology Vishwakarma Institute of TechnologyDepartment of Computer Science & Engineering Vishwakarma Institute of TechnologyPune, Maharashtra, 411037, IndiaView full profile → , Zokir Mamadiyarovmamadiyarov_zokir@mamunedu.uz; zokir_mamadiyarov@tues.uz; z.mamadiyarov@tsue.uzDepartment of Economics Mamun University; Department of Finance and Tourism Termez University of Economics and Service; Department of Bank Accounting and Auditing Tashkent State University of EconomicsDepartment of Economics Mamun UniversityKhiva, 220900, UzbekistanView full profile → , Vinit Khetanivinitkhetani@gmail.comResearcher Connect Innovation and Impact Private LimitedCybrix TechnologiesNagpur, Maharashtra, 440027, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Mar 2025
- Published Online:
- 18 Mar 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2489
- Pages:
- 547–556
Abstract
Keywords
Subject Classifications
References
[1] M. Korovina, “Asymptotics of Solutions of Linear Differential Equations with Holomorphic Coefficients in the Neighborhood of an Infinitely Distant Point,” Mathematics, vol. 8, pp. 2249 (2020).
[2] M. V. Korovina, “Uniform Asymptotics of Solutions to Linear Differential Equations with Holomorphic Coefficients in the Neighborhood of an Infinitely,” Lobachevskii Journal of Mathematics, vol. 44, pp. 2765–2780 (2023).
[3] M. V. Korovina, H. A. Matevossian, and I. N. Smirnov, “Uniform Asymptotics of Solutions of the Wave Operator with Meromorphic Coefficients,” Applied Analysis, vol. 102, pp. 239–252 (2021).
[4] X. Wang and M. Sun, “A new family of fourth-order Ostrowski-type iterative methods for solving nonlinear systems,” AIMS Mathematics, vol. 9, pp. 10255–10266 (2024).
[5] T. Liu and R. Xue, “A convergent multi-step efficient iteration method to solve nonlinear equation systems,” Journal of Applied Mathematics and Computing, pp. 1–18 (2024).
[6] N. Srikanth and A. Ramarao, “AI-based Automated Seed Sowing and Soil Moisture Robot,” International Journal for Interdisciplinary Sciences and Engineering Applications, Volume 6, Issue 3, pp. 20–24 (2025), doi: 10.5281/zenodo.16728954
[7] S. Yadav, S. Singh, R. Badoni, A. Kumar, and M. Singh, “Semilocal convergence of Chebyshev Kurchatov type methods for non-differentiable operators,” Computers & Mathematics with Applications, vol. 170, pp. 275–281 (2024).
[8] A. M. Pawar and N. Sherje, “Blockchain-Based Digital Identity Management Systems,” International Journal of Advanced Computer Engineering and Communication Technology (IJACECT), vol. 12, no. 2, pp. 1–9 (Apr. 2025).
[9] N. H. Aljahdaly and S. El-Tantawy, “On the multistage differential transformation method for analyzing damping Duffing oscillator and its applications to plasma physics,” Mathematics, vol. 9, pp. 432 (2021).
[10] C. Jamilla, R. Mendoza, and I. Mezo, “Solutions of neutral delay differential equations using a generalized Lambert W function,” Applied Mathematics and Computation, vol. 382, pp. 125334 (2020).
[11] M. Kumar, “An Efficient Numerical Scheme for Solving a Fractional-Order System of Delay Differential Equations,” International Journal of Applied and Computational Mathematics, vol. 8, pp. 262 (2022).
[12] H. H. Fandy and K. Sh. Al’Dzhabri, “Admixture vertex edges system and A-space,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 28, no. 2, pp. 469–474 (2025).
[13] C. Deshpande, C. Ramtirthkar, T. A. Wani, V. K. Bhosale, M. Gulhane, and K. S. Kumar, “Topology and knot theory applications in quantum field theory,” Journal of Interdisciplinary Mathematics, vol. 28, no. 6, pp. 2281–2287 (2025), doi: 10.47974/JIM-2370.
[14] G. Kaur, M. Kaur, J. Singh, M. M. Laishram, S. Lakhanpal, and M. Kumar, “Effective strategies for writing maintainable code in cryptographic software development,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 29, no. 2-A, pp. 609–616 (2026), doi: 10.47974/JDMSC-2503.
[15] M. Kaur, M. K. Goyal, D. P. Yadav, S. M. Patil, M. Kumar, and M. E. Abdelhag, “Exploring facial biometrics in multi-factor authentication systems for secure banking applications,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 29, no. 2-A, pp. 655–662 (2026), doi: 10.47974/JDMSC-2508.
[16] P. Sahane, M. Gulhane, N. Rakesh, S. M. M. Naidu, M. Grover, and V. Mahajan, “Evaluating lightweight encryption schemes for resource-constrained devices in wireless sensor networks,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 28, no. 5-A, pp. 1803–1812 (2025), doi: 10.47974/JDMSC-2180.
