SOME PROPERTIES OF SEVERAL FUNCTIONS INVOLVING POLYGAMMA FUNCTIONS AND ORIGINATING FROM THE SECTIONAL CURVATURE OF THE BETA MANIFOLD

Feng Qi (1, 2, 3)

1 Henan Polytechnic University
2 Tianjin Polytechnic University
3 Inner Mongolia University for Nationalities

In the paper, the author investigates some properties, including analyticity, limits, monotonicity, complete monotonicity, and inequalities, of several functions involving the tri-, tetra-, and penta-gamma functions and originating from computation of the sectional curvature of the beta manifold.

Mots clés: property; polygamma function; analyticity; monotonicity; complete monotonicity; limit; inequality; trigamma function; tetragamma function; pentagamma function; sectional curvature; beta manifold

Domaines: Analyse classique [math.CA]; Géométrie différentielle [math.DG]; Probabilités [math.PR]; Statistiques [math.ST]

Feng Qi. SOME PROPERTIES OF SEVERAL FUNCTIONS INVOLVING POLYGAMMA FUNCTIONS AND ORIGINATING FROM THE SECTIONAL CURVATURE OF THE BETA MANIFOLD. 2020. ⟨hal-02496404v1⟩