Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales pp 345-356 | Cite as

Appendix: The Beta Function

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• Svetlin G. Georgiev

Chapter

First Online: 13 April 2018

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Abstract

Let \(z, w\in \mathbb {C}\), Re(z) > 0, Re(w) > 0. Define the beta function B(z, w) as follows:

$$\displaystyle B(z, w)=\int _0^1 t^{z-1} (1-t)^{w-1} dt. $$

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© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

• Svetlin G. Georgiev
  • 1

1. 1.Faculty of Mathematics and InformaticsSofia University St Kliment OhridskiSofiaBulgaria