Abel theorem
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Abel theorem [′ä·bəl ′thir·əm]

(mathematics)

A theorem stating that if a power series inzconverges forz=a, it converges absolutely for |z| < |a|.

A theorem stating that if a power series inzconverges tof(z) for |z| < 1 and toaforz= 1, then the limit off(z) aszapproaches 1 equalsa.

A theorem stating that if the three series withnth terma_n,b_n, andc_n=a₀b_n+a₁b_n-1+ ⋯ +a_nb₀, respectively, converge, then the third series equals the product of the first two series.

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No references found			We proceed to prove an analogue of Abel's theorem for boundedly convergent double series. On the Pringsheim convergence of double series/Koonduvustunnused ... by Limaye, Balmohan V.; Zeltser, Maria / Proceedings of the Estonian Academy of Sciences He continues with Abel's theorem, the gamma function, universal covering spaces, Cauchy's theorem for non-holomorphic functions and harmonic conjugates. Complex made simple by SciTech Book News He then considers the work of Lagrange, Galois and Kronecker in concert, the process of computing Galois groups, solvable permutation groups, and the lemniscate, including the lemniscatic function, complex multiplication and Abel's theorem. Galois theory by SciTech Book News			Abdylas Maldybaev Abdysetdar Kazi Abe Kobo Abe Tomoji Abe, Kobo Abe, Shinzo abeam Abed-nego Abednego Abegg's rule Abegian, Manuk Abegian, Manuk Khachaturovich Abegian, Mger Abegian, Mger Manukovich Abel Abel Aganbegian Abel and Rima Abel Gezevich Aganbegian Abel Janszoon Tasman Abel tester Abel theorem Abel's inequality Abel's integral equation Abel's problem Abel's summation method Abel's theorem Abel, I. W. Abel, John J. Abel, John Jacob Abel, Niels Henrik Abel, Othenio Abel, Sir Frederick Augustus Abel, Thomas Abel-beth-maachah Abel-maim Abel-meholah Abel-mizraim Abel-shittim Abelard Abélard and Héloïse Abelard, Peter Abélard, Peter Abélard, Pierre Abelian domain Abelian extension Abelian field Abelian group Abelian operation Abelian quantum Hall state Abelian ring Abelian theorems			Abel Assessment for Sexual Interest Abel equation Abel functional equation Abel Gance Abel Gezevich Aganbegian Abel inequality Abel J. Morneault Memorial Library Abel Jansz Tasman Abel Janszoon Tasman Abel Janszoon Tasman Abel Janzoon Tasman Abel Muzorewa Abel Muzorewa Abel niels henrik Abel niels henrik Abel Oner Office Abel Tasman Abel Tasman Abel Tasman Educational Trust Abel Tasman National Park Abel tester Abel theorem Abel's equation Abel's functional equation Abel's inequality Abel's integral equation Abel's problem Abel's summation method Abel's theorem Abel, I. W. Abel, John J. Abel, John Jacob Abel, Niels Henrik Abel, Niels Henrik Abel, Othenio Abel, Sir Frederick Augustus Abel, Thomas Abel-beth-maachah Abel-maim Abel-meholah Abel-mizraim Abel-shittim Abel-shittim Abelard Abelard Abélard Abélard Abélard and Héloïse Abelard, Peter Abelard, Peter Abélard, Peter Abélard, Peter Abélard, Pierre Abelcet Abelcet Abelcet abele Abelene Abelene

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Abel theorem (redirected from Abel's theorem)

Abel theorem
(redirected from Abel's theorem)