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標(biāo)題: Titlebook: Ramanujan Summation of Divergent Series; Bernard Candelpergher Book 2017 Springer International Publishing AG 2017 Ramanujan.Divergent.Ser [打印本頁]

作者: Blandishment    時(shí)間: 2025-3-21 18:54
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作者: 極小量    時(shí)間: 2025-3-21 20:46
https://doi.org/10.1007/978-3-319-63630-6Ramanujan; Divergent; Series; Summation; Euler-MacLaurin formula; Borel Summation; Euler Summation
作者: 我不死扛    時(shí)間: 2025-3-22 02:19

作者: ALERT    時(shí)間: 2025-3-22 06:03
Dependence on a Parameter,In this chapter we give three fundamental results on the Ramanujan summation of series depending on a parameter.
作者: 毗鄰    時(shí)間: 2025-3-22 11:15
Bernard CandelpergherProvides a clear and rigorous exposition of Ramanujan‘s theory of divergent series.A special chapter is devoted to an algebraic formalism unifying the most important summation processes.Only little ba
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作者: geriatrician    時(shí)間: 2025-3-23 04:42
Book 2017od, presented by Ramanujan as an application of the Euler-MacLaurin formula, is here extended using a difference equation in a space of analytic functions. This provides simple proofs of theorems on the summation of some divergent series. Several examples and applications are given. For numerical ev
作者: Obsessed    時(shí)間: 2025-3-23 07:06
Ramanujan Summation,hird section we interpret this constant as the value of a precise solution of a difference equation. Then we can give in Sect.?. a rigorous definition of the Ramanujan summation and its relation to the usual summation for convergent series.
作者: Congeal    時(shí)間: 2025-3-23 12:36

作者: 鞏固    時(shí)間: 2025-3-23 16:10
Book 2017those of Borel and Euler is also studied. Finally, in the last chapter, a purely algebraic theory is developed that unifies all these summation processes. This monograph is aimed at graduate students and researchers who have a basic knowledge of analytic function theory.
作者: Sad570    時(shí)間: 2025-3-23 20:11
0075-8434 ifying the most important summation processes.Only little baThe aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook. This method, presented by Ramanujan as an application of the Euler-MacLaurin formula, is here exten
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作者: Graphite    時(shí)間: 2025-3-24 06:02
Transformation Formulas,on we examine the Borel summability of the series deduced from the Euler-MacLaurin formula. In the second section we use finite differences and Newton series to give a convergent version of the Ramanujan summation which generalizes the classical Laplace-Gregory formula. In the third section we use t
作者: Concerto    時(shí)間: 2025-3-24 08:20
An Algebraic View on the Summation of Series, is the shift property which seems very strange for a summation procedure. Thus it is necessary to define a general algebraic formalism to unify the Ramanujan summation and the classical methods of summation of series.
作者: temperate    時(shí)間: 2025-3-24 13:45
0075-8434 theory is developed that unifies all these summation processes. This monograph is aimed at graduate students and researchers who have a basic knowledge of analytic function theory.978-3-319-63629-0978-3-319-63630-6Series ISSN 0075-8434 Series E-ISSN 1617-9692
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egers, overlapping memory accesses and pointer arithmetic, tAbu?erover?owoccurswheninputiswrittenintoamemorybu?erthatisnot large enough to hold the input. Bu?er over?ows may allow a malicious person to gain control over a computer system in that a crafted input can trick the defectiveprogramintoexec
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Phenothiazine Tranquillizers: Effect of Prolonged Intake,n pregnancy (1). Liver cirrhosis and jaundice, for example, are known to enhance significantly the action of phenothiazines (2). Effects of phenothiazine on endocrine functions have been reported (3). At the Neurotoxicology Research Unit, tissues obtained at autopsies of patients with liver patholog
作者: 幻想    時(shí)間: 2025-3-25 17:34
Interacting Processes in the Development of Printed Word Recognitionly describe the processes of development, and second, it must culminate in a processing model which is compatible with what is now known, from studies of normal and abnormal processing in adults, about printed word recognition processes in skilled and formerly skilled readers. In this chapter we con
作者: Fillet,Filet    時(shí)間: 2025-3-25 22:30
Zusammenfassung und Ausblick,aten, vielmehr habe ich den Versuch unternommen, im Sinne einer praxisorientierten Fibel die wichtigsten Punkte der modernen psychiatrischen Versorgung zu berühren. Aus diesem Grunde ist es schwierig, in einem Schlu?kapitel eine Synthese zu versuchen. Vorerst eine Selbstkritik: Wohl war es mein Ziel
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T. Madiba,R. C. Bansal,J. J. Justo,K. Kusakanan propositional dynamic logic with an extra modality for belief or knowledge. However, the logics are still decidable and in 2EXPTIME. Versions of the considered logics express natural additional properties of beliefs or knowledge and interaction of beliefs or knowledge with actions. A simulation of
作者: 圣人    時(shí)間: 2025-3-27 04:49
Treatment of Advanced-Stage Hodgkin Lymphomad as the standard of care allowing for individualized tailored treatment. After many years without new drugs, research has been energized by the possible introduction of novel agents, that is, the antibody-drug conjugate brentuximab vedotin and programmed death receptor-1 inhibitory antibodies, whic
作者: Cabinet    時(shí)間: 2025-3-27 06:09
1931-6828 d. A foreword will be composed by a member of N.A.T.O. or a ranking member of the armed forces.?Topics covered include: applied OR and military applications, signal processing, scattering, scientific computing 978-1-4899-9408-0978-1-4614-4109-0Series ISSN 1931-6828 Series E-ISSN 1931-6836
作者: 雇傭兵    時(shí)間: 2025-3-27 12:47
Brian W. Beeching M.PHIL, M.SC, BDS, LDSRCSdie Bestimmung einiger Parameter: Wir wollen verstehen, wie sich das Universum aus einem sehr primitiven Anfangszustand heraus zu dem entwickelt hat, was wir um uns herum beobachten – Galaxien verschiedener Morphologie, die gro?r?umige Struktur ihrer Verteilung,
作者: ENDOW    時(shí)間: 2025-3-27 14:53
Raktim Haldar,Rakesh Khosa,A. K. Gosaingsrahmens wird im folgenden Kapitel die Analyseperspektive erweitert und die personalpolitische Steuerung der deutschen Muttergesellschaft in den Mittelpunkt der Betrachtung gerückt. Unter dem . wird analog zu Kenter (1985, S. 36) die zukunfts-gerichtete Abstimmung der Personalmanagement-Aktivit?ten
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