Orthogonal properties of Legendre's Polynomial || Lect :- 13 || Advanced Special function ||

Описание: Hellow student,

Orthogonal properties of Legendre's Polynomial

Subject name : Mathematics 4th semester

PAPER : Advanced Special function

Topic : Bessel's function

Title :- Rodrigue Formula of Legendre's Polynomial

lect 01 Link :-    • Bessel's Function  Definition and proff ||...  

lect 02 Link :-    • Recurrence Formula of Bessel's function|| ...  

Lect 03 Link :-    • Recurrence Formulas of Bessel's function |...  

Lect :- 04    • Prove that J-n(x) = (-1)^n Jn(x) || Bessel...  

Lect :- 05    • Prove that J(1/2)(x)=√2/πxSinx || Bessel's...  

Lect :- 06    • Bessel's Function  Definition and proff ||...  

Lect :- 07    • Prove that J3/2(x)= √2/πx[1/xSinx-Cosx] ||...  

Lect :- 08    • Generating Function of Jn(x)  || Bessel's ...  

Lect :- 09    • Solution of Legendre's Differention equati...  

Lect :- 10    • Solution of Legendre's Differention equati...  

Lect :- 11    • Generating Function of Legendre's Polynomi...  

Lect 12 :-    • Rodrigue Formula of Legendre's Polynomial ...  

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Topics covered under playlist of Series Solution of Differential Equations and Special Functions: Power Series Method, Ordinary Point, Singular Point (Regular Singular Point and Irregular Singular Point), Series Solution about an Ordinary Point (with problems), Frobenius Method (with problems), Special Functions: Bessel Function, Bessel's Differential Equation, Recurrence Formulae for Bessel Function (with problems), Generating Function for Bessel Function, Equation Reducible to Bessel Equation (with problems), Orthogonality of Bessel Function, Legendre's Differential Equation, Legendre Polynomials, Rodrigue's Formula, Generating Function for Legendre Polynomial (with problems), Recurrence Formulae for Legendre Polynomial (with problems), Orthogonality of Legendre Polynomial.