adjective: (mathematics) Of an expression, especially a function, being nonzero at a value, everywhere on a specified set, or on the entire domain.
adjective: 2013-11-11, C. Herbert Clemens, A Scrapbook of Complex Curve Theory (University Series in Mathematics), Springer Science & Business Media, βISBN, OCLC 1001480441, page 61:
adjective: This means that the vector space of solutions of (2.25) near π=0 is generated by
adjective: πβ(π) holomorphic and nonvanishing at 0,
adjective: (ππβ(π)+(logπ)πβ(π)) where a πβ is holomorphic and nonvanishing at 0.
