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Integrals Depending on a Parameter

  • Vladimir A. Zorich
Chapter
Part of the Universitext book series (UTX)

Abstract

Many important functions (e.g., Euler’s beta and gamma functions or integral Fourier transforms) have the form of an integral depending on a parameter. In this chapter we will study and describe the general properties of integrals depending on a parameter. In particular, we introduce Eulerian integrals and present some basic ideas of generalized functions.

Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Vladimir A. Zorich
    • 1
  1. 1.Department of MathematicsMoscow State UniversityMoscowRussia

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