Hermite Differential Equation ## Singularity Test ## Power Series Solution ## Hermite Polynomials

Chapter : Frobenius method of Power Series Solution & Special function ## Lecture No. 14
Topic : Hermite Differential Equation
a) Singularity Test.
b) Power Series Solution.
c)Concept of Hermite Polynomial.
   • Hermite Differential Equation ## Sing...  
Chapter : Frobenius method of Power Series Solution & Special function ## Lecture No. 13
Topic : Evaluation of Legendre Polynomials from Rodrigue's formula.
   • How to Evaluate Legendre Polynomials ...  ​

Chapter : Frobenius method of Power Series Solution & Special function ## Lecture No. 12
Topic : Rodrigues Formula for Legendre Polynomials , Leibnitz's Theorem for nth Derivative of y .
   • Rodrigues Formula for Legendre Polyno...  ​​

Chapter : Frobenius method of Power Series Solution & Special function ## Lecture No. 11
Topic : Orthogonality property of Legendre Polynomial
   • Orthogonality Property of Legendre Po...  ​​​

Chapter : Frobenius method of Power Series Solution & Special function ## Lecture No. 10
Topic : Differential Property & Recurrence Relations of Legendre Polynomial
   • Differential Property  &  Recurrence ...  ​​​​

Chapter : Frobenius method of Power Series Solution & Special function ## Lecture No. 9
Topic : Generating Function of Legendre Polynomials and Its Properties
   • Generating Function Of Legendre Polyn...  ​​​​​

Chapter : Frobenius method of Power Series Solution & Special function ## Lecture No. 8
Topic : Legendre Differential Equation
(i) Singularity Test
(ii)Solution of Legendre Differential Equation By Power Series Method Using ,Theorem No. 2
(iii) Concept of Legendre polynomials
(iv) Evaluation of Legendre Polynomials
   • Legendre Differential Eq # Singularit...  ​​​​​​

Chapter : Frobenius method of Power Series Solution ## Lecture No. 7
Topic :Solution of 2nd Order Differential Equation By Power Series Method Using ,Theorem No. 4:
   • Power Series Solution of Differential...  ​​​​​​

Chapter : Frobenius method of Power Series Solution ## Lecture No. 6
Topic :Solution of 2nd Order Differential Equation By Power Series Method Using ,Theorem No. 3:
   • Power Series Solution of The D.E # Th...  ​​​​​​

Chapter : Frobenius method of Power Series Solution ## Lecture No. 5
Topic :Solution of 2nd Order Differential Equation of Simple Harmonic motion By Power Series Method Using Theorem No. 2:
   • Power Series Solution of Simple Harmo...  ​​​​​​

Chapter : Frobenius method of Power Series Solution ## Lecture No. 4
Topic :Solution of 2nd Order Differential Equation By Power Series Method Using Theorem No. 2:
   • Power Series Solution of D. E. # Theo...  ​​​​​​

Chapter : Frobenius method of Power Series Solution ## Lecture No. 3
Topic :Solution of 2nd Order Differential Equation By Power Series Method Using Theorem No. 1:
   • Power Series Solution of D.E. # Theor...  ​​​​​​

Chapter : Frobenius method of Power Series Solution ## Lecture No. 2
Topic : Singularity Test Of 2nd Order Differential Equation
   • Ordinary Point, Regular Singular Poin...  ​​​​​​

Chapter : Frobenius method of Power Series Solution ## Lecture No. 1
Topic : (i) General Properties of 2nd order differential equation
(ii) Definition of Ordinary Point ,singular point (Regular or Non Essential Singular point & Irregular Or Essential Singular point)
(iii) Introduction of Power Series
   • Ordinary Point, Regular Singular Poin...  ​​​​​

In this presentation we have discuss about Hermite Differential equation. First of all we made Singularity Test of this Differential equation and then we make the Power series solution of this differential equation and finally we came up with the concept of Hermite Polynomials.