A bridge between unit square and single integrals for real functions of the form \(f(x\cdot y)\)

DOI10.14321/REALANALEXCH.44.2.0445zbMath1448.26017OpenAlexW3007800753MaRDI QIDQ2188796

Fábio M. S. Lima

Publication date: 11 June 2020

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rae/1588298434

zbMATH Keywords

special functionsmultiple integralsMellin's transform

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Integration of real functions of several variables: length, area, volume (26B15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some unit square integrals
• New definite integrals and a two-term dilogarithm identity
• A proof that Euler missed: Evaluating \(\zeta\) (2) the easy way
• Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent
• Some formulas related to Hurwitz-Lerch zeta functions
• A class of integrals on squares, cubes and hypercubes

This page was built for publication: A bridge between unit square and single integrals for real functions of the form \(f(x\cdot y)\)