Madhav Prasad Poudel

Assistant Professor
School of Engineering, Pokhara University
Email: [email protected]
Mobile: +977 9856031502

   

PhD in Mathematics
M.Sc. in  Mathematics
B.Sc. (Mathematics/Physics)

  • Differential Equations
  • Special Functions,
  • Complex analysis
  • Mathematics Education
  • Specialization : Hypergeometric Functions

A: Research Articles

  1. Singh, M. S., Poudel, M. P., & Chanam, B. (2026). Some Inequalities on Polynomials in the Complex Plane Concerning a Linear Differential Operator. Journal of Mathematics, 2026(1), 9930559.
  2. Paudel, R. P., Harsh, H. V., Poudel, M. P., & Basnet, G. B. (2025). A New Derivation of Extended Watson Summation Theorem with an Application. Journal of Nepal Mathematical Society, 8(2), 67-72.
  3. Gill, V., Singh, Y., Poudel, M. P.,& Shukla, A. (2025). Mathematical analysis of a fractional-order epidemic model of childhood diseases via an efficient computational method. International Journal of Mathematics for Industry. World scientific publishing company, https://dx.doi.org/10.1142/S2661335225500091.
  4. Paudel, R. P., Pahari, N. P., Basnet, G. B., Poudel, M. P., & Rathie, A. K. (2024). On Two Closed Form Evaluations for the Generalized Hypergeometric Functions 3F2(1/16). Nepal Journal of Mathematical Sciences, 5(2), 7–12. https://doi.org/10.3126/njmathsci.v5i2.76628
  5. Pokhrel, M., Poudel, M. P., Sharma, L., Jha, N.N., Sharma, T., and Tripathi, B.R., (2025). An Investigating on Attitudes Towards Mathematics and Their Relationship to Achievement among Basic School Students. Communications on Applied Nonlinear Analysis 32 (10), 1829-1843.
  6. Pokhrel, M., Jha, N. N., & Poudel, M. P. (2025). Resolving Learners Differences in the Learning of Mathematics. Asian Journal of Education and Social Studies, 51(3), 40-49.
  7. Basnet, G. B., Pahari, N. P., Paudel, R. P., Poudel, M. P., & Sharma, M. (2024). An Integral Involving Generalized Hypergeometric Function. Nepal Journal of Mathematical Sciences, 5(1), 1–6. https://doi.org/10.3126/njmathsci.v5i1.76446
  8. Paudel, R. P., Pahari, N. P., & Poudel, M. P. (2024). Few Theorems on an Extension of Bailey’s Formula Involving Product of Two Generalized Hypergeometric Functions. Journal of Nepal Mathematical Society, 7(2), 82-89.
  9. Poudel, M. P., Rathie, A. K. & Yadav, Vijay. (2024). A Novel Class of Finite Integrals Involving Generalized Hypergeometric Function. South East Asian Journal of Mathematics and Mathematical Sciences
  10. Basnet, G. B., Pahari, N. P., & Poudel, M. P. (2024). A Result on an Integral Involving Product of Two Generalized Hypergeometric Functions and Its Applications. Journal of Nepal Mathematical Society, 7(2), 22-29.
  11. Poudel, M. P., Lim, D., Pahari, N. P., & Rathie, A. K. (2024). A Note on Evaluation of a New Class of Integrals Involving Generalised Hypergeometric Function. J. Math. Anal.Appl. Vol.21 No.2, Art.6, 10pp. 21(2)pp. 1-11
  12. Poudel, M. P., Sahani, S. K., Pokhrel, M., & Tripathi, B. R. (2024). The product of two hypergeometric function (I) by using Bailey’s formula. Rajarshi Janak University Research Journal, 2(1-2), 31-41.
  13. Pokhrel, M., Sharma, L., Sharma, T., Poudel, M. P.,& L. G. (2024). Enhancing Mathematics Learning through Self-Directed Pedagogy: Strategies and Evaluation Techniques for Effective Student Engagement. Journal of Computational Analysis and Applications, 33(8).
  14. Poudel, M. P., Yadav, V. & Rathie, A. K.. (2024). A Note On a New And General Summation Formula For The Generalised Hypergeometric Series 4F3(1). Journal of Ramanujan society of Mathematics and Mathematical Sciences. 11(2), 137-142. DOI: 10.56827/JRSMMS.2024.1102.10
  15. Pokhrel, M., Pun, L., Poudel, M. P., Sharma, T., Chettri, L. G., &  Poudel, J. (2024). Exploring Problems And Challenges Faced by Teachers in Teaching Mathematics At Basic Level in Nepal. Jilin Daxue Xuebao (Gongxueban)/Journal of Jilin University (Engineering and Technology Edition), 43 (8), 20-34. DOI: 10.5281/zenodo.13284395
  16. Poudel, M. P., Singh, S. D. & Rathie, A. K.. (2024). A note on two integrals involving product of two generalized hypergeometric functions. Journal of Ramanujan society of Mathematics and Mathematical Sciences. 11(2), 125-136. DOI: 10.56827/JRSMMS.2024.1102.9
  17. Luitel, S., Pokherel, M., Sharma, L., Poudel, M. P., & Sahani, S. K. (2024). Teacher’s Mindset and Mathematical Competencies Development: An Appraisal of Intervention Actions for Curriculum Change Adoption. Journal of Ecohumanism, 3(3), 1838–1846. https://doi.org/10.62754/joe.v3i3.3468
  18. Poudel, P. (2024). Hypergeometric Function and its Application on Heat Kernel in a Torus Surface with a rectangular Lattice,  Himalayan Journal of Applied Science and Engineering (HiJASE), 5(1), 23-32
  19. Sahani, S. K., Tiwari, S. K., Yadav, D., and Poudel, M. P. (2024).  Relative Strength of Common Fixed Point Theorem of Self-Mappings Satisfying Rational Inequalities in Real Valued Generalized Complete Metric Spaces. EQUATIONS, Vol. 4, 7-16, DOI: 10.37394/232021.2024.4.2
  20. Jha, A., Sahani, S. K., Jha, A., Sahani, K.  and Poudel, M. P. (2024) A comparative study on strategic analysis and forecasting on profit maximization and operational efficiency in manufacturing business through differential equations, J. Innov. Appl. Math. Comput. Sci. 4(1), 11–25. DOI: 10.58205/jiamcs.v4i1.1720
  21. Sahani, S. K., Tiwari, S.K., Sonat, B. and Poudel, M. P. (2024). On The Determination of a Convex Sequence of Signals by Absolute Sum of Factors of Trigonometric Series, The Nepali Mathematical Sciences Report, 41(1) 43-53.  https://doi.org/10.3126/nmsr.v41i1.67458
  22. Gautam, H., Poudel M.P., Sahani, S.K., Mandal, D.N., Sahani K.(2024). A Revision of Relaxed Steepest Descent, Gradient Descent, Modified Ellipsoid, David-Fletcher-Powell Variable Metric, Newton’s, and Fletcher-Reeves Conjugate Methods From the Dynamics on an Invariant Manifold: A Journey of Mathematical Optimization,  African Journal of Biological Sciences (South Africa),  6(5). 2175-2187 https://doi.org/ 10.33472/AFJBS.6.5.2024. 2175-2187.
  23. Poudel, M. P., Sahani, S. K., Basnet, G. B. & Ojha, D. (2024).A New Extension of Combination of Linear and Bilinear generating Relations in Function Spaces Associated with Hypergeometric Polynomials; Some New Applications of Two Signals …, Advances in Nonlinear Variational Inequalities, 27 (1), 161-173.
  24. Basnet, G. B., Poudel, M. P., & Paudel, R. P. (2024). Error Estimates in the Maximum Norm for the Solution of Poisson’s Equation Approximated by the Five-Point Laplacian Using the Discrete Maximum Principle. Journal of Nepal Mathematical Society, 6(2), 28–37. https://doi.org/10.3126/jnms.v6i2.63020
  25. Pokhrel, M., Poudel, M. P., (2024). Empowering Students through a Self-Directed Learning Pedagogy in Mathematics Education, Communication on Applied nonlinear analysis, 31 (1) 238-252.
  26. Pokhrel, M., Poudel, M. P., (2024). Exploring Factors Contributing to Indifference Towards Learning Mathematics Among Secondary School Students in Nepal. Turkish Journal of Computer and Mathematics Education (TURCOMAT), Vol 15 (1), 51-60.
  27. Pokhrel, M., Poudel, M. P., (2024). Exploring students’ perceptions of teaching mathematics using ICT, International Journal of Social Science and Education Research, 6(1): 39-42
  28. Poudel, M. P., Pahari, N. P., Sahani, S. K., & Bahadur, G. Paudel R. P. (2024). Generalization of Classical Summation Relation of Certain Appell’s Double Hypergeometric Functions Associated with Theory of Approximation. Communication on Applied Non Linear analysis.  31 (1), 52-61.
  29. Dhakal, S., Ghimire, S., & Poudel, M. P. (2024). On New Iterative Algorithm For Numerical Recknoing Fixed Points Of Weak Contraction Mapping in Banach Spaces and its Rate of Convergence, Jilin Daxue Xuebao (Gongxueban)/Journal of Jilin University (Engineering and Technology Edition) 43(10), 105-118
  30. Bhatta, R. B., Shrestha, S., Panthi, D., Bhatta, C. R., & Poudel, M. P. (2024). Impact of Yogchara on Transmission Dynamics of Infectious Disease: SIQS Model Analysis at Saturated Incidence Rate. Jilin Daxue Xuebao (Gongxueban)/Journal of Jilin University (Engineering and Technology Edition) 43(9), 127-140
  31. Pokhrel, M., Sharma, T., Poudel, M. P., Laxmi, G. C., & Paudel, J. (2023). Promoting Blended ICT Mathematics Classroom Practices Of University: A Multicultural Perspective. Educational Administration: Theory And Practice, 29(4), 2938-2944.
  32. Poudel, M. P., Pahari, N. P., Harsh, H. V. & Rathie, A. K (2023). On an Integral Involving Product of Two Generalized Hypergeometric Function, Journal of Harbin Engineering University, 44 (12), 1408 – 1415
  33. Manadal, D. N.  Sahani, S. K., Gautam, H. & Poudel, M. P. (2023). A New Estimation of Orthant Probability of Complex Homogeneous Vectors: An Actual Use to Set Building, Stochastic Modelling and Computational Sciences. The Roman science publication and distribution, 3(2), 442 – 461.
  34. Poudel, M. P., Pahari, N. P., Basnet, G. B. & Poudel, R. P. (2023). Connection Formulas on Kummer’s Solutions and their Extension on Hypergeometric Function. Journal of Nepal Mathematical Society, 6(2),83-88
  35. Poudel, M. P., Harsh, H. V., Pahari, N. P., & Panthi, D. (2023). Extension of geometric series to hypergeometric function in Hindu mathematics. International Journal of Statistics and Applied Mathematics 8(4): 495-505
  36. Poudel, M. P., Harsh, H. V., Pahari, N. P., & Panthi, D. (2023). Kummer’s Theorems, Popular Solutions and Connecting Formulas on Hypergeometric Function. Journal of Nepal Mathematical Society, 6(1), 48-56.
  37. Poudel, M. P., Harsh, H. V., & Pahari, N. P. (2023). Laplace Transform of Some Hypergeometric Functions. Nepal Journal of Mathematical Sciences, 4(1), 11-20.
  38. Poudel, M. P., Harsh, H. V., & Pahari, N. P. (2022). A note on an Extension of Bailey’s formula involving the product of two generalized hypergeometric functions. Bulletin of Karela Mathematics Association, 19(1), 1-7.
  39. Poudel, M. P. (2022). Effect of Heat on Velocity and Heat Transfer Coefficient of the Fluid in a Pipe with a Laminar Flow. Himalayan Journal of Applied Science and Engineering, 3(1), 18-27.

B: Conferences Paper Presentations

  1. Poudel, M. P., Novel Class of Finite Integrals on Generalised Hypergeometric Functions, 8-10th Dec. 2025 International Conference on Non Linear Analysis and Optimisation,  Kathmandu University, Kathmandu, Nepal.
  2. Poudel, M. P., A note on a new class of integral involving generalized hypergeometric function, 13-15th Dec. 2024 Second International Conference on Mathematics and Applications (ICMA-2024), Nepal Mathematical Society, Kathmandu, Nepal.
  3. Poudel, M. P., A note on a new and general summation formula for the generalized hypergeometric series 4F3(1), 28-29th Sept. 2024. Theory and Applications of Mathematics,  Tripura Mathematical Society, Argatala, India
  4. Poudel, M. P., Evaluation of a New Class of Integrals Involving Generalized Hypergeometric Function, 11-13th June. 2024 International conference on Applied Science and Engineering in Changing World (ICASECW_24), Faculty of Science and Technology, Pokhara University, Nepal.
  5. Generalization of Classical Summation Relation of Certain Appell’s Double Hypergeometric Functions Associated with Theory of Approximation, 22-23th Feb. 2024     Conference on Recent Trends in Science, Technology and Innovation (RTSTI), Tribhuvan University, Institute of Forestry, Pokhara Campus, Pokhara Nepal.
  6. Poudel, M. P., Kummer’s theorems Popular Solutions and Connecting Formulas on hypergeometric function, 03-05th 2024, Gandaki University International Conference-2024 (GUIC-2024),Gandaki, University, Nepal
  7. Poudel, M. P., Kummer’s theorems Popular Solutions and Connecting Formulas on hypergeometric function, 25-28th May 2023 Third international Conference on Application of Mathematics to Nonlinear Sciences (ANMS-2023), American Nepalese Mathematical Society (ANMS) 2023.

C: Book Publications

  1. Poudel, M. P, & Gautam, H. (2024). A Textbook of Probability and Statistics for Engineers, Asmita Publication. Kathmandu, Nepal
  2. Poudel, M. P, Pahari, N.P., Ghimire, S., Kafle, J., Bhandari, A. K. Gurung, P., Ojha, D. (2023). A Textbook of Calculus II. Asmita Publication. Kathmandu
  3. Poudel, M. P, Pahari, N.P., Ghimire, S., Kafle, J., Bhandari, A. K. Gurung, P., Ojha, D. (2023). A Textbook of Algebra and Geometry. Asmita Publication. Kathmandu
  4. Poudel, M. P, Pahari, N.P., Ghimire, S., Kafle, J., Bhandari, A. K. Gurung, P., Ojha, D. (2023). A Textbook of Calculus I. Asmita Publication. Kathmandu
  5. Poudel, M. P., Shrestha, K. K. (2017). Fundamentals of Engineering Mathematics Vol. IV. , Ozone Publications. Pokhara
  6. Poudel, M. P., Shrestha, K. K. Regmi, R., Pandey, H. R. (2015). Fundamentals of Engineering Mathematics Vol. II. , Ozone Publications. Pokhara
  7. Poudel, M. P. (2002). Managerial mathematics for the faculty of Management. Surya Publications, Kathmandu, Nepal.