2. Gamma Function

In this comprehensive lesson on the Gamma Function, we explore one of the most important special functions in higher mathematics and mathematical physics. The video systematically covers the extension of factorials to real and complex numbers, Euler’s integral definition, the functional equation, reflection and duplication formulas, poles and residues, Stirling approximation, and the digamma and polygamma functions. Multiple worked examples and Python implementations are included to help students understand both the theory and computation of the Gamma Function in a clear and practical way. This lesson is ideal for students studying advanced calculus, complex analysis, special functions, mathematical methods for physics, engineering mathematics, and applied mathematics. #EJDansu #Mathematics #Maths #MathswithEJD #Goodbye2024 #Welcome2025 #ViralVideos #Trending #GammaFunction #SpecialFunctions #ComplexAnalysis #AdvancedCalculus #Mathematics #AppliedMathematics #EulerGamma #StirlingApproximation #DigammaFunction #Polygamma #MathematicalPhysics #EngineeringMathematics #HigherMathematics #PureMathematics #Calculus #ComplexVariables #MathLecture #PythonForMath #MathematicalMethods #UniversityMathematics -Feel very free to follow me on all channels: https://linktr.ee/ejdansu -Tech-relevant playlists: Basic Calculus https://youtube.com/playlist?list=PLMxwp487ysbOsfExwUvVqs2XGT40iXLJe&si=r7kJX8adApJMdTVq Data Analysis with Python https://youtube.com/playlist?list=PLMxwp487ysbMDy5ZTlLqdnO8Nic2K5Qis&si=dGP-Urww7JEVfwVX Game Theory https://www.youtube.com/playlist?list=PLMxwp487ysbM5fWlnUQFcRCLmBwbTawVY Graph & Network Theory https://youtube.com/playlist?list=PLMxwp487ysbMM_j0w8m7TSGccZEujOE8K&si=AHmJjv-VdoudCSDw Linear Programming https://youtube.com/playlist?list=PLMxwp487ysbONM_hRJVUrgAPtjYns48y-&si=xwlBoYkTFRJawb15 Matrices https://youtube.com/playlist?list=PLMxwp487ysbNU60Ea9Bv4d-ySAALm-kLF&si=ajCo2gRsCShPaumG Numerical Analysis https://youtube.com/playlist?list=PLMxwp487ysbPjm1qNDwdIjWIMsMjSEZCT&si=pNhOY_fh-ntlGszn Numerical Optimisation Techniques https://youtube.com/playlist?list=PLMxwp487ysbNcc7hUtpBCqh6d547Qacs1&si=FRvsdLXSMDtHuCu2 Probability https://youtube.com/playlist?list=PLMxwp487ysbM3JIQO0B3sfgbsJxLvWES1&si=kgN2832KDwiBISAc Scientific Computing with Python https://youtube.com/playlist?list=PLMxwp487ysbMLck645K4WYMsOkJjDNxeW&si=Idw5xUzRVs2eVrd1 Set Theory https://youtube.com/playlist?list=PLMxwp487ysbM7HDyJd4QUOQSNYDGW46fB&si=C53NJMtSPJUAsn2F SQL with Python https://youtube.com/playlist?list=PLMxwp487ysbMZdveFzwMUHNGPJjjsdBew&si=hjIAYShUtfG8DDds Statistics https://youtube.com/playlist?list=PLMxwp487ysbNMbvA4nkXvFG4wDo8WCce1&si=DCIeS7ktGwQga3zy Vectors https://youtube.com/playlist?list=PLMxwp487ysbM5FH1lqr_WJiNQFBpsopJw&si=l4uXaOEDXb_k8YYM