6533b82ffe1ef96bd12951ee

RESEARCH PRODUCT

Elementary hypergeometric functions, Heun functions, and moments of MKZ operators

Ioan RaşaAna Maria Acu

subject

Pure mathematicsAlgebra and Number TheorySeries (mathematics)Applied Mathematics010102 general mathematicsMathematics::Classical Analysis and ODEsNumerical Analysis (math.NA)Type (model theory)33C05 33C90 33E30 41A3601 natural sciencesSecond order moments010101 applied mathematicsComputational MathematicsMathematics - Classical Analysis and ODEsClassical Analysis and ODEs (math.CA)FOS: MathematicsElementary functionHigher order momentsGeometry and TopologyMathematics - Numerical Analysis0101 mathematicsHypergeometric functionAnalysisMathematics

description

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.

yearjournalcountryeditionlanguage
2019-11-23
http://arxiv.org/abs/1911.10319