Abstract
We developed new versions of the Euler beta function.
Highlights
In this paper, I discovered the formulas, among others: ( ) () () ( )[ ( √ ) √ ( √ )] ( ) ( ) ( )( ) and √ ( √) ( ) ( )2
On the other hand, ( ) ( ) that subsitituting in the previous equation gives the desired result. ⧠
I let the summation from at to in (10) and (11)
Summary
I developed new versions of the Euler beta function. I discovered the formulas, among others: ( ) () () ( )
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