Analytic Function|| complex function || mathematical physic Msc fy

📚 **Mathematical Physics | M.Sc. First Year** In this important lecture, we explore the concept of **Analytic Functions** in complex analysis — a fundamental topic in Mathematical Physics. 🎯 **What you’ll learn:** ✔️ What is an analytic function? ✔️ Conditions for analyticity using Cauchy-Riemann (CR) equations ✔️ How to verify whether a function is analytic ✔️ Step-by-step problem solving with detailed explanation 🧠 **Functions discussed:** 1️⃣ F(z) = 2xy + i(x² - y²) — Not analytic (CR fails) 2️⃣ F(z) = z³ — Entire function (analytic everywhere) 3️⃣ F(z) = sin(z) — Analytic everywhere 4️⃣ F(z) = log(z) — Analytic except at branch cut & z = 0 📌 This video is perfect for: – M.Sc. Physics students – Mathematical Physics exams – NET/JRF aspirants – MH-CET Law & GATE Physics preparation – Anyone revising complex functions & Cauchy-Riemann conditions 📝 Don’t forget to take notes and try solving similar questions on your own! 🔔 Like | Share | Subscribe | Comment your doubts below 🎓 Channel: **Ghatol Sir Physics** #AnalyticFunction #ComplexAnalysis #MScPhysics #MathematicalPhysics #CauchyRiemann #LogFunction #Sinz #Zcube #MScEntrance #MHcetPhysics #NETPhysics #PhysicsWithGhatolSir #PhysicsShorts #ConceptClarity #CRconditions #ComplexFunction