remained since. In 1973–74 he was a visiting scholar at theInstitute for Advanced Studyin Princeton. He is currently (as of 2006)Michio SuzukiDistinguished Research Professor of Mathematics at the University of Illinois.He is a coordinating editor ofThe Ramanujan Journaland, in 1996, received an...
Berndt's Ramanujan's Notebooks [2], in the form1: Example 4.1. Let q1, q2, q3, and q4 be positive real numbers. Then 2 π∞ 0 (x2 + q12)(x2 + dx q22)(x2 + q32)(x2 + q42) = (q1 + q2 + q3 + q4)3 3q1q2q3q4(q1 + q2)(q2 + q3)(q1 − + (q13 + q23 ...
Ramanujan's Notebooks, Part I. Springer-Verlag, New York, 1985. [3] G. Boros, O. Espinosa, and V. Moll. On some families of integrals solvable in terms of polygamma and negapolygamma functions. Integrals Transforms and Special Func- tions, 14:187–203, 2003. [4] G. Boros and V. ...
He would then record these marvelous formulae in his now famous notebooks. Ramanujan had a special veneration for the Goddess Namagiri of the temple in the neighbouring town of Namakkal, and we are told that the Goddess of Namakkal would come in his dreams and give him these formulae. ...
Ramanujan’s Notebooks; Part III; Springer: New York, NY, USA, 1991. [Google Scholar] Sills, A.V. An Invitation to the Rogers-Ramanujan Identities; CRC Press: Boca Raton, FL, USA, 2017. [Google Scholar] Andrews, G.E.; Askey, R.; Roy, R. Special Functions; Cambridge University ...