2000 character limit reached
Elementary hypergeometric functions, Heun functions, and moments of MKZ operators (1911.10319v2)
Published 23 Nov 2019 in math.CA, cs.NA, and math.NA
Abstract: We consider some hypergeometric functions and prove that they are elementary functions. Consequently, the second order moments of Meyer-Konig and Zeller type operators are elementary functions. The higher order moments of these operators are expressed in terms of elementary functions and polylogarithms. Other applications are concerned with the expansion of certain Heun functions in series or finite sums of elementary hypergeometric functions.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.
