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Week - 1 |
Functions with complex variable, Analytic functions |
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Week - 2 |
Integral theorems , Cauchy integrals |
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Week - 3 |
Residue theorem and calculation of complex integrals |
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Week - 4 |
Improper integrals , integrals involving periodic functions |
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Week - 5 |
Mapping in complex plane and applications in electrostatics |
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Week - 6 |
Classical orthogonal polynomials |
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Week - 7 |
Generalized Rodriguez formula |
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Week - 8 |
Generating functions |
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Week - 9 |
Integral representations of polynomials |
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Week - 10 |
Laguerre polynomials |
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Week - 11 |
Legendre polynomials |
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Week - 12 |
Jacobi polynomials |
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Week - 13 |
Hermite polynomials |
|
Week - 14 |
Gegenbauer polynomials |
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