Generalized Gregory's series

DOI10.1016/J.AMC.2014.03.101zbMath1334.26003OpenAlexW2007234135MaRDI QIDQ274970

Edyta Hetmaniok, Roman Wituła, Damian Słota

Publication date: 25 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.03.101

zbMATH Keywords

generalized Gregory's seriesodd harmonic numberstrigonometric identities

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Elementary functions (26A09)

Related Items (2)

Differentiation and integration by using matrix inversion ⋮ Harmonic Numbers of Any Order and the Wolstenholme’s-Type Relations for Harmonic Numbers

Uses Software

• DLMF
• OPQ

Cites Work

• Some generalizations of Gregory's power series and their applications
• On the sum of some alternating series
• Summation formulae involving harmonic numbers
• Series of Reciprocal Triangular Numbers
• Harmonic number identities via hypergeometric series and Bell polynomials
• The Discovery of the Series Formula for π by Leibniz, Gregory and Nilakantha
• On Certain Slowly Convergent Series Occurring in Plate Contact Problems
• Extensions on a Theme Concerning Conditionally Convergent Series
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Generalized Gregory's series