Applications to Some Standard Special Functions

Abstract

AbstractWe now apply our results to certain multiple Γ-type functions and multiple $$\log \Gamma $$ log Γ -type functions that are known to be well-studied special functions, namely: the gamma function, the digamma function, the polygamma functions, the q-gamma function, the Barnes G-function, the Hurwitz zeta function and its higher order derivatives, the generalized Stieltjes constants, and the Catalan number function. For recent background on some of these functions, see, e.g., Srivastava and Choi (Zeta andq-zeta functions and associated series and integrals. Elsevier, Amsterdam, 2012).