Syllabus
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Course Code: B-MAT 502 Course Name: Special Functions |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
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| 1 | Series solution of differential equations – Power series method. Hypergeometric Series. Hypergeometric function, its integral representation. Hypergeometric differential equation and solutions. Contiguous function relations, simple transformations. | |
| 2 | Bessel equation and its solution: Bessel functions and their properties-Convergence, Recurrence relations and generating functions. Bessel’s Integral. Orthogonality of Bessel functions. | |
| 3 | Legendre differentials equation and its solution; Legendre functions and their properties; Recurrence relations and generating functions. Orhogonality of Legendre polynomials. Rodrigues’ Formula for Legendre Polynomials, Laplace Integral Representation of Legendre polynomial. | |
| 4 | Hermite differentials equations and its solutions; Hermite function and its properties; Recurrence relations and generating functions. Orhogonality of Hermite polynomials. Rodrigues’ Formula for Hermite Polynomial, | |
