Research
SOME DEFINITE INTEGRALS OF GRADSHTEYN-RYZHIK AND OTHER INTEGRALS
Article
January 1, 1970
In the present paper we evaluate three definite integrals with certain convergence conditions, using Leibnitz rule for differentiation under integral sign and Wallis formula. Some other integrals are also evaluated by means of Leibnitz rule, Kummer’s first transformation and reduction formula, series rearrangement techniques under stated convergence conditions.
ON RAMANUJANaS GENERATING RELATION FOR TAU FUNCTION
Article
January 1, 1970
Present paper concernsmainly with verififification and extension of the table for (1),, (2),, (3),,.........,,, (30) of Ramanujan. Our extended table for (31),, (32),, (33),,.........,,, (211) is obtained without using certain arithmetical functionsdefififined by Ramanujan and also the theory of elliptic functions.
