Adamchik, Victor S. Multiple Gamma Function and Its Application to Computation of Series The multiple gamma function n, defined by a recurrence-functional equation as a generalization of the Euler gamma function, was originally introduced by Kinkelin, Glaisher, and Barnes around 1900. Today, due to the pioneer work of Conrey, Katz and Sarnak, interest in the multiple gamma function has been revived. This paper discusses some theoretical aspects of the ¡n function and their applications to summation of series and infinite products. multiple gamma function;Barnes function;gamma function;Riemann zeta function;Hurwitz zeta function;Stirling numbers;Stieltjes constants;Catalan’s constant;harmonic numbers;Glaisher’s constant 1979-01-01
    https://kilthub.cmu.edu/articles/journal_contribution/Multiple_Gamma_Function_and_Its_Application_to_Computation_of_Series/6607586
10.1184/R1/6607586.v1