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math.GM2021
Cauchy Pairs
Martin Himmel
The notion of pairable functions is introduced and some of its properties are developed. In this connection the famous Euler identity is interpreted as a property of certain pairab…
math.GM2021
Pendants to the Euler Beta function
Martin Himmel
Motivated by the integral representation of the Euler Beta function, we introduce its Cauchy siblings and investigate some of their properties. Two of these newly introduced functi…