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Note on Cahen's integral formulas
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Abstract
We present an explicit form for a class of definiteintegrals whose special cases include some definiteintegrals evaluated, over a century ago, by Cahen whomade use of an appropriate contour integral for theintegrand of a well-known integral representation ofthe Riemann Zeta function given in (3). Furthermoreanother analogous class of definite integral formulasand some identities involving Riemann Zeta functionand Euler numbers E_n are also obtained as by-products.
관련 논문AI추천
An integral formula and its applicationsMoonjeong Kim, Y. D. Chai대한수학회 · 대한수학회보2002 · 제39권 제1호A Note on Parakahlerian ManifoldsMihail Banaru경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제1호A Note on Harmonic Forms on a Contact ManifoldHaruo Kitahara, Hong Kyung Pak경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제1호Notes on Carleson type measures on bounded symmetric domain최기성대한수학회 · 대한수학회논문집2007 · 제22권 제1호A note on p-adic invariant integral in the rings of p -adic integersTaekyun Kim장전수학회 · Advanced Studies in Contemporary Mathematics2006 · 제13권 제1호The formula for the singularity of Szeg\＂o kernel : IMasatake Kuranishi대한수학회 · 대한수학회지2003 · 제40권 제4호
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