nonvanishing en · ADJ
Etymology
From non- + vanishing.
Meanings
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(error-lua-exec, not-comparable) Of an expression, especially a function, being nonzero at a value, everywhere on a specified set, or on the entire domain.
This means that the vector space of solutions of (2.25) near #92;lambda#61;0 is generated by #92;sigma#95;1(#92;lambda) holomorphic and nonvanishing at 0, #92;left(#92;lambda#92;sigma#95;2(#92;lambda)#43;(log#92;lambda)#92;sigma#95;1(#92;lambda)#92;right) where a #92;sigma#95;2 is holomorphic and nonvanishing at 0.
2013 November 11, C. Herbert Clemens, A Scrapbook of Complex Curve Theory (University Series in Mathematics), Springer Science & Business Media, →ISBN, →OCLC, page 61:For each nonvanishing function h, which is a solution of (2.1), we consider #92;Omega as above and we define #92;Omega#95;i#61;d#92;Omega(e#95;i),#92;#59;#92;#59;#92;#59;W#61;#92;frac#123;#92;Omega#125;#123;h#125;
2001 January 1, A. A. Coley, Bäcklund and Darboux Transformations: The Geometry of Solitons : AARMS-CRM Workshop, June 4-9, 1999, Halifax, N.S., Canada (CRM proceedings & lecture notes), American Mathematical Soc., →ISBN, page 153: