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Mathematics - Rayalaseema University

Mathematics - Rayalaseema University

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UNIT – VThe functions of Hermite and Lagurre: The Hermite polynomials – Hermite differentialequations - Hermit function- The occurrence of Hermite functions in wave mechanics- TheLagurre polymials - Leguerre’s differential equation the associated lagurre polynomials andfunctions - The wave functions for the hydrogen atom. (2Questions)Standard and treatment as in 1) Chapters 20 and 21 of “Basic Abstract Algebra” byP.B.Bhattacharya, S.K.Jain and S.R.Nagpaul - Cambridge Press. Second Edition.2) Chapter 11 and articles 1,2,4,6,7 and 8 of Chapter 12 of “Real Analysis “ byH.L.Royden, Prentice Hall of India, New Delhi, Third Edition.3) Articles 26 to 37 of Chapter 4 and Chapter 5 of “Special functions of mathematicalPhysics and Chemistry” by I.N. Sneddon, Longman Publications.2

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