Hello students myself Dr. Gajendra Purohit and today I am going to start an important concept under legendre polynomial that is generating function. What it is? and how we prove it? on this numericals are also asked in the exam. So how we will prove it that I will tell you but before this I have uploaded more videos also on this topic in which what is bessel function and recurrence relation. I have even taken important questions on that and then orthogonal property. After that I have taken rodrigues formula proof and questions based on that. Here on the I icon you can go and watch all my old videos. Students series solution, engineering mathematics, bsc IIT-JEM and GATE the content uploaded is very good. So you can go and watch that here. Students see here what happens in generating function of legendre polynomial . First let me tell you what is legendre differential equation? So it is this OK? So this is the legendre differential equation. OK? So here this type of equation when I have taught you the series solution then I have told you how these types of equations are solved. So my series solution playlist there you can go and watch this as I have told there. So how do we proof this first let me tell you that so first we will start from here So if in the exam a question is asked to prove the generating function then this is how you will prove it. So I will take one two examples on this as sometimes questions based on this can be asked in the exam. Students in legendre the recurrence relation that are also proved with the help of generating function so that I will take in my next video. Now I will take two questions then we will finish this. So students see here two questions So this is how we prove these types of questions here. So students I feel that all my videos must be helping you as your exams are coming and in future also I am going to bring more content for you like orthogonal property then on recurrence relation of legendre polynomial then after that on high order differential equation with I mean partial differential equation with constant coefficient and after that variable separable method like for partial differentiation- one dimension wave equation, heat equation, laplace equation on these also I am going to make the videos. Students be with me. In june, july and august whatever topics I have taught you related to that whatever questions are asked in the competitive exam on that also I am going to bring the MCQs. So be with me and subscribe to my channel. Do press the notification bell and do like, share. Thank you so much for watching my videos. Thank you.