Bombay Jayashri, in an interview, has said that Ilaiyaraja's composition paartha vizhi, from the movie Guna, was the inspiration for her Ragam-Tanam-Pallavi in the raga Paavani. The full article is available here.
In her words:
... And so I (the author) remind her (Bombay Jayashri) of an instance during a December season concert where she did stress her listeners out a bit, performing a ragam-thanam-pallavi in the unusual raga Paavani — the only reference point for which appears to be a film song, Ilayaraja’s Paartha vizhi from Guna. I wonder why she didn’t pick a Todi or a Sankarabharanam for the exercise — instead of making her audience work hard with her in trying to appreciate (leave alone enjoy) a familiar form with such unfamiliar content — and she says, “I’m a huge Ilayaraja fan. Paartha vizhi has been running in the back of my mind since I saw Guna. At the December concert, I am bored of constantly singing Todi or Sankarabharanam. I imagined the audience would be bored too. So I tried to do a pallavi with the word Paavani.”