Prove that (n+1)Pn=P'n+1-xPn' and (1-x^2)Pn'=(n+1(xPn-Pn+1) || Recurrence Formulae for Pn(x) || 16 |
Hellow student,
Subject name : Mathematics 4th semester
PAPER : Advanced Special function
Topic : Legendre's Polynomial
Title :- Recurrence Formulae 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...
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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.