Applications of Neutrix Calculus to Special Functions in Conjunction with Polygamma Functions

2014/04/29 by Emin Özc̣ağ, Emin Özçağ, Özçağ, Emin · 1 citation
Mathematics · #33B15 #33B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #History and Theory of Mathematics #Iterative Methods for Nonlinear Equations #Mathematical and Theoretical Analysis #math.CA #msc:33B15 #msc:33B20

paper · pdf · doi:10.48550/arxiv.1405.0507

arxiv created 2014/04/29 · openalex publication_date 2014/04/29 · arxiv updated 2014/05/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we define the polygamma functions ψ⁽ⁿ⁾(x) for negative integers by using neutrix calculus.

Citations

• Tables of Integrals, Series, and Products

Cited by

• Defining Incomplete Gamma Type Function with Negative Arguments and Polygamma functions ψ⁽ⁿ⁾(-m)

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