# Bilinear differential

From Encyclopedia of Mathematics

An analytic differential on a Riemann surface, depending on two points and , and having the form

where and are local uniformizing parameters in a neighbourhood of and respectively, and is an analytic function of and . Bilinear differentials are used to express many functionals on a finite Riemann surface.

#### References

[1] | M. Schiffer, D.C. Spencer, "Functionals of finite Riemann surfaces" , Princeton Univ. Press (1954) |

**How to Cite This Entry:**

Bilinear differential. E.D. Solomentsev (originator),

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Bilinear_differential&oldid=19114

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098