We deduce an explicit representation for the coefficients in a finite expansion of a certain class of generalized hypergeometric functions that contain multiple pairs of numeratorial and denominatorial parameters differing by positive integers. The expansion alluded to is given in terms of these coefficients and hypergeometric functions of lower order. Applications to Euler and Kummer-type transformations of a subclass of the generalized hypergeometric functions mentioned above together with an extension of the Karlsson-Minton summation formula are provided.
|Number of pages||6|
|Publication status||Published - 2012|
Miller, A. R., & Paris, R. B. (2012). On a result related to transformations and summations of generalized hypergeometric series. Mathematical Communications, 17(1), 205-210. http://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=123532