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Bessel Function-Mathematical Physics-Assignment, Exercises of Mathematical Physics
This assignment is for Mathematical Physics course. It was assigned by Dr. Akshat Nair at Central University of Odisha. It includes: Bessel, Function, Associative, Law, Inner, Product, Contravariant, Covariant, Mixed, Tensor
Typology: Exercises
2011/2012
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If the Bessel function of first kind is given as — *\2n+p WO= >) mee Prove that J Wx? Ip(x)] (@) =~ PIp4 (x) and (20) Jip) aC, (b) dx | x=0 7 2 (5) Question 4 Prove that the associative law for the inner product holds for all tensor of rank 2 (Remember A, B and C are dyads) (ay A.(B.C)=(A.B) .C (15) (by Sort out the contravariant, covariant and mixed tensor given in the foll owing and also give their rank Tran, Tmns, An™"®, Pave, P% (5) (c) Write the tensor coordinate transformation equation for pr st from K-coordinate system to K'-coordinate system (5) (Fill up the missing indices) vO Oe ee lo T xX KK , . . : . “ docsity.com _ Bo : : . 8