Pole singularity||examples of pole singularity||Two methods

Welcome to Maths Mastery with Dr. Upasana P. Taneja! Hello learners! I’m Dr. Upasana Taneja, passionate about helping students master higher mathematics with clear explanations, examples, and step-by-step guidance. On my channel — Maths Mastery with Dr. Upasana P. Taneja — I cover advanced topics like Group Theory, Ring Theory, Real Analysis, and Complex Analysis, designed for B.Sc., M.Sc., NET, GATE, and IIT-JAM aspirants. ✨ In this video, we explore one of the most important types of singularities in Complex Analysis — the Pole Singularity. You’ll learn: ✅ Definition of a pole of order n ✅ How to identify poles using limits and Laurent series ✅ Difference between simple poles and higher-order poles ✅ Examples of functions with pole singularities ✅ Applications of poles in residue calculus and complex integration By the end of this lecture, you’ll be able to identify and classify pole singularities, a crucial concept for evaluating residues and solving contour integrals. 📚 Check out detailed notes and examples on my blog: 🔗 https://upasanataneja.blogspot.com 🎯 Stay Connected: 👉 Subscribe to Maths Mastery with Dr. Upasana P. Taneja for full higher mathematics lectures 👉 Like 👍, Share 🔁, and Comment 💬 your doubts below --- #PoleSingularity #ComplexAnalysis #AnalyticFunction #Singularities #SimplePole #HigherOrderPole #ResidueTheorem #DrUpasanaTaneja #MathsMastery #ComplexNumbers #BScMaths #MScMaths #IITJAMMaths #NETMathematics #GATEMaths #HigherMathematics #LaurentSeries #ComplexPlane #MathsWithDrUpasana #LearnComplexAnalysis #MathsMadeEasycomplex Integration playlist https://youtube.com/playlist?list=PLLBPHzWiBpdd-QRGCVZYxwBZTDs-ksbcosingularity in complex analysissingularity complex analysisremovable singularity in complex analysispole singularity in complex analysisessential singularity in complex analysiscsir net complex analysisimportant questions in singularitysingularity in complex analysis in Hindiisolated singularity complex analysistypes of singularity in complex analysisnon isolated singularitysingularities complex analysis