Differentiating Under an Integral

  • Serge Lang
Part of the Graduate Texts in Mathematics book series (GTM, volume 103)


So far, we have not really used Goursat’s theorem that an analytic function is holomorphic. We now come to a situation where the natural way to define a function is not through a power series but through an integral depending on a parameter.


Entire Function Compact Support Gamma Function Half Plane Integral Sign 
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Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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