The  Arithmetic-Harmonic mean and Landen transformations

Victor H. Moll

doi:10.71712/m775-2j93

PDF

Published: 2019-01-08

DOI: https://doi.org/10.71712/m775-2j93

Keywords:

Rational integrals, Landen transformation, means

Victor H. Moll

Department of Mathematics, Tulane University, New Orleans, LA 70118

Abstract

An elementary transformation on the coefficients of a rational function of degree 2, preserving the value of its integral, is presented.

Downloads

Download data is not yet available.

Issue

Vol. 29 (2019)

Section

Articles

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Moll, V. H. (2019). The Arithmetic-Harmonic mean and Landen transformations. Scientia Series A: Mathematical Sciences, 29, 1-5. https://doi.org/10.71712/m775-2j93

Most read articles by the same author(s)

Derek Chen, Sheryar Choudhry, Adina-Raluca Corcau, Tyler Dunaisky, Blaine Larson, Drew Leahy, Xiang Li, Michael Logal, Alexander R. McCurdy, Qiusu Miao, Paramjyoti Mohapatra, Victor H. Moll, Chi Nguyen, Olivia Peterson, Naveena Ragunathan, Vaishavi Sharma, Brandon Sisler, Rosalie Tarsala, Hassan Zayour, The integrals in Gradshteyn and Ryzhik. Part 31: Forms containing binomials , Scientia Series A: Mathematical Sciences: Vol. 32 (2022)
Derek Chen, Tyler Dunaisky, Alexander R. McCurdy, Victor H. Moll, Chi Nguyen, Vaishavi Sharma, The integrals in Gradshteyn and Ryzhik. Part 32: Powers of trigonometric functions , Scientia Series A: Mathematical Sciences: Vol. 32 (2022)
Victor H. Moll, Michael Henry, A special collection of definite integrals , Scientia Series A: Mathematical Sciences: Vol. 30 (2020)
T. Amdeberhan, Victor H. Moll, Vaishavi Sharma, Christophe Vignat, The valuations of power sums , Scientia Series A: Mathematical Sciences: Vol. 35 (2025)
Leyda Almodovar, Alyssa N. Byrnes, Julie Fink, Xiao Guan, Aashita Kesarwani, Gary Lavigne, Victor H. Moll, Luis A. Medina, Isabelle Nogues, Eric Rowland, Amber Yuan, A closed-form solution might be given by a tree. Valuations of quadratic polynomials , Scientia Series A: Mathematical Sciences: Vol. 29 (2019)
Weymar Astaiza, Alexander J. Barrios, Henry Chimal-Dzul, Stephan Ramon García, Jaaziel Lopez de la Luz, Victor H. Moll, Diego Villamizar, Yunied Puig, Symmetric tensor powers of graphs , Scientia Series A: Mathematical Sciences: Vol. 36 (2026)
Tewodros Amdeberhan, Victor H. Moll, Armin Straub, Pat Whitworth, The integrals in Gradshteyn and Ryzhik.Part 9: Combinations of logarithms, rational andtrigonometric functions. , Scientia Series A: Mathematical Sciences: Vol. 17 (2009)
Victor H. Moll, Christophe Vignat, Integrals involving Bernoulli and Euler polynomials , Scientia Series A: Mathematical Sciences: Vol. 30 (2020)
Kristina VanDusen, Ivan gonzález, Victor H. Moll, A Comparison of the Method of Brackets with the method of Negative Dimension , Scientia Series A: Mathematical Sciences: Vol. 34 (2024)
Michael Logal, Victor H. Moll, A note on integration by parts , Scientia Series A: Mathematical Sciences: Vol. 32 (2022)

1 2 3 > >>

The Arithmetic-Harmonic mean and Landen transformations

Abstract

Downloads

Issue

Section

How to Cite

Most read articles by the same author(s)

UNIVERSIDAD

CAMPUS Y SEDES

EXTENSIÓN Y CULTURA

SERVICIOS

Article Sidebar

Main Article Content

Abstract

Downloads

Article Details

Issue

Section

How to Cite

Most read articles by the same author(s)