On partial derivatives of the incomplete beta function

DOI10.1016/j.aml.2007.07.020zbMath1152.33301OpenAlexW2039409485MaRDI QIDQ998568

Haşmet Gürçay, İnci Ege, Emin Özçağ, Biljana Tome Jolevska-Tuneska

Publication date: 29 January 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.07.020

zbMATH Keywords

beta functiongamma functionincomplete beta functionincomplete gamma functiondistributionneutrix limitneutrix

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items

Some results on the beta function and the incomplete beta function ⋮ Unnamed Item ⋮ Existence of the neutrix limit of the \(q\)-analogue of the incomplete gamma function and its derivatives ⋮ Extension of the partial derivatives of the incomplete beta function for complex values ⋮ The series expansions and Gauss-Legendre rule for computing arbitrary derivatives of the beta-type functions ⋮ Estimating the polygamma functions for negative integers ⋮ The neutrix limit of the \(q\)-gamma function and its derivatives ⋮ Generalized the q-digamma and the q-polygamma functions via neutrices

Cites Work

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• AN APPLICATION OF NEUTRIX CALCULUS TO QUANTUM FIELD THEORY