Gauss Hypergeometric Functions, Multiple Polylogarithms, and Multiple Zeta Values
In this article, we express solutions of the Gauss hypergeometric equation as a series of the multiple polylogarithms by using iterated integral. This representation is the most simple case of a semisimple representation of solutions of the formal KZ equation.
openaire +3 more sources
All order ε-expansion of Gauss hypergeometric functions with integer and half/integer values of parameters [PDF]
M.Yu. Kalmykov, B. F. L. Ward, S.A. Yost
openalex +1 more source
Periods of Hodge cycles and special values of the Gauss' hypergeometric function
Jorge Duque Franco
openalex +1 more source
Recurrence relations for the coefficients of the confluent and Gauss hypergeometric functions in the complex plane [PDF]
Zi-Qiao Xu +2 more
openalex +2 more sources
Energy eigenvalues and finite-temperature magnetization for the improved Scarf II potential in the presence of external magnetic and Aharonov-Bohm flux fields. [PDF]
Eyube ES +6 more
europepmc +1 more source
A Generic Formula and Some Special Cases for the Kullback-Leibler Divergence between Central Multivariate Cauchy Distributions. [PDF]
Bouhlel N, Rousseau D.
europepmc +1 more source
Spectral Decomposition of Discrepancy Kernels on the Euclidean Ball, the Special Orthogonal Group, and the Grassmannian Manifold. [PDF]
Dick J +3 more
europepmc +1 more source
Degenerate Gauss hypergeometric functions
In this paper we study terminating and ill-defined Gauss hypergeometric functions. For their hypergeometric equations, the set of 24 Kummer′s solutions degenerates. We describe those solutions and relations between them. Kyushu University 21st Century COE Program Development of Dynamic Mathematics with High Functionality 九州大学21世紀COEプログラム「機能数理学の構築と展開」
openaire
The quantum-mechanical Coulomb propagator in an L2 function representation. [PDF]
Gersbacher R, Broad JT.
europepmc +1 more source

