On some P-Q mixed modular equations of degree 5

M. S. Mahadeva Naika, S. Chandankumar, M. Harish

In his second notebook, Ramanujan recorded total of 23 P-Q modular equations involving theta-functions $f(-q)$, $\phi (q)$ and $\psi (q)$. In this paper, modular equations analogous to tho…