High Order Derivatives and Two \(q\)-Identities Related To Prodinger’s Formula

Qinglun Yan1, Yingmei Zhang1, Xiaona Fan1
1College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210046, P. R. China

Abstract

By means of a \(q\)-binomial identity, we give two generalizations of Prodinger’s formula, which is equivalent to the famous Dilcher’s formula.