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In Lecture 11 (Part 4) of the Complex Analysis series, Dubey Sir explores the Pole of Order M and Residue at Infinity. These essential topics in detail, providing clear explanations and practical examples that enhance your understanding of complex functions. Whether you're preparing for CSIR NET, IIT JAM, or GATE, or just strengthening your Complex Analysis, this video is a must-watch! 𝗨𝗣𝗣𝗦𝗖 𝗔𝘀𝘀𝗶𝘀𝘁𝗮𝗻𝘁 𝗣𝗿𝗼𝗳𝗲𝘀𝘀𝗼𝗿 & 𝗟𝗲𝗰𝘁𝘂𝗿𝗲𝘀𝗵𝗶𝗽 Online Program 📅 𝗕𝗮𝘁𝗰𝗵 𝗦𝘁𝗮𝗿𝘁𝘀: 𝟭𝟲𝘁𝗵 𝗢𝗰𝘁 𝟮𝟬𝟮𝟱 👉 𝗥𝗲𝗴𝗶𝘀𝘁𝗲𝗿 𝗡𝗼𝘄: https://forms.gle/mQjrrPHaVDcLsqFx5 Hope you like these Learning Videos! Want to study with 𝐃𝐔𝐁𝐄𝐘 𝐒𝐈𝐑 LIVE? Complex Analysis Lecture 11(IV) 1. Pole of order M 2. Residue at infinity 𝗟𝗲𝗰𝘁𝘂𝗿𝗲: 11 (Part 04) 🔗 Playlist Link: • Complex Analysis - Free Video Lecture Seri... ▶️ Join our CSIR NET, IIT JAM, or GATE Math course - https://bit.ly/join-our-courses 📕 Buy Books for CSIR NET, IIT JAM & GATE - https://bit.ly/DIPS-Book JOIN our 𝐎𝐅𝐅𝐋𝐈𝐍𝐄/𝐎𝐍𝐋𝐈𝐍𝐄 𝐛𝐚𝐭𝐜𝐡𝐞𝐬 for 𝐂𝐒𝐈𝐑 𝐍𝐄𝐓, 𝐈𝐈𝐓 𝐉𝐀𝐌 or 𝐆𝐀𝐓𝐄 𝐌𝐚𝐭𝐡𝐬 ▶️ CSIR NET Maths Course - https://bit.ly/csir-net-math-course ▶️ IIT JAM Maths Course - https://bit.ly/IIT-JAM-Math-Course ▶️ IIT JAM Stats Course - https://bit.ly/IIT-JAM-Stats-Course ▶️ GATE Maths Course - https://bit.ly/GATE-Maths-Course ▶️ Assistant Professor Course - https://bit.ly/state-psc-asst-math 𝐕𝐢𝐝𝐞𝐨 𝐋𝐞𝐜𝐭𝐮𝐫𝐞 & 𝐒𝐭𝐮𝐝𝐲 𝐌𝐚𝐭𝐞𝐫𝐢𝐚𝐥𝐬 ▶️ Video Lecture & Study Materials - https://bit.ly/DLP-Program ▶️ CSIR NET Video Lecture - https://bit.ly/csirnet-video-lecture ▶️ IIT JAM Maths Video Lecture - https://bit.ly/48YNat8 ▶️ CSIR NET with GATE Video Lecture - https://bit.ly/net-gate-video-lecture 𝐁𝐨𝐨𝐤𝐬 📕 Buy Books for CSIR NET, IIT JAM & GATE - https://bit.ly/DIPS-Book 📕 CSIR NET Maths PYQ Book Vol 1 (Pure Maths) - https://bit.ly/csirnet-pyq-book-vol-1 📕 CSIR NET Maths PYQ Book Vol 2 (Applied Maths) - https://bit.ly/csirnet-pyq-book-vol-2 📕 IIT JAM Maths PYQ Book - https://bit.ly/IIT-JAM-Maths-PYQ-Book -------------------------------------------- SUBSCRIBE to Our CHANNEL for LEARNING VIDEOS: https://www.youtube.com/c/DipsAcademy... -------------------------------------------- 🎁 Download the DIPS Academy App: https://bit.ly/Dips-Academy-App 👉 More Information 📞 Call at +91 9999183434 🌐 Website: https://www.dipsacademy.com 📧 Email: info@dipsacademy.com ----------------------------------------- This video is about; What is the order of a pole? What is the concept of residue? Is a simple pole a pole of order 1? What is a pole and zero? What is a pole of a function? What is the residue formula? What is the Cauchy equation? What is Cauchy's rule? What is the singularity equation? What is the pole in the residue theorem? Cauchy-Hadamard formula example Proof of the Cauchy–Hadamard theorem State and prove Cauchy Hadamard theorem Hadamard theorem Riemannian geometry Applying Identity Theorem for holomorphic functions Complex Analysis - Other any other versions of identity theorem. CSIR NET Mathematics IIT JAM Math Complex Analysis Lecture for BSc Third Year Complex Analysis Lecture for CSIR NET Complex Analysis Lecture for IIT JAM Best Math YouTube Channels Complex Analysis Lectures for GATE Maths jam exam syllabus for mathematics How to prepare for IIT JAM mathematics upsc anthropology optional preparation strategy upsc maths optional previous papers solved **************************** #pole #order #residue #infinity #complexanalysis #complexvariables #complexintegration #analyticfunction #cauchysintegral #csirnet #iitjam #gatemath #integralformula #cauchytheorem #calculus #cauchytheoremproof #mathematicstutorials #advancedcalculus