Appendix: The Beta Function

Svetlin G. Georgiev
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Svetlin G. Georgiev: Sofia University St Kliment Ohridski, Faculty of Mathematics and Informatics

Chapter Chapter 11 in Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales, 2018, pp 345-356 from Springer

Abstract: Abstract Let z , w ∈ ℂ $$z, w\in \mathbb {C}$$ , Re(z) > 0, Re(w) > 0. Define the beta function B(z, w) as follows: B ( z , w ) = ∫ 0 1 t z − 1 ( 1 − t ) w − 1 d t . $$\displaystyle B(z, w)=\int _0^1 t^{z-1} (1-t)^{w-1} dt. $$

Keywords: Beta Function; Appendix; Operational Calculus; Integral Transforms; Mathematical Physics (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/978-3-319-73954-0_11

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