The Fourier Transform of the First Derivative of the Generalized Logistic Growth Curve

dc.contributor.author Ozdemır, Yunus
dc.contributor.author Bilge, Ayse Humeyra
dc.date.accessioned 2026-03-15T08:02:41Z
dc.date.available 2026-03-15T08:02:41Z
dc.date.issued 2020
dc.description.abstract The “generalized logistic growth curve” or the “5-point sigmoid” is a typical example for sigmoidal curves without symmetry and it is commonly used for non-linear regression. The “critical point” of a sigmoidal curve is defined as the limit, if it exists, of the points where its derivatives reach their absolute extreme values. The existence and the location of the critical point of a sigmoidal curve is expressed in terms of its Fourier transform. In this work, we obtain the Fourier transform of the first derivative of the generalized logistic growth curve in terms of Gamma functions and we discuss special cases. en_US
dc.identifier.doi 10.7240/jeps.598861
dc.identifier.issn 2636-8277
dc.identifier.uri https://hdl.handle.net/20.500.12469/7867
dc.identifier.uri https://search.trdizin.gov.tr/en/yayin/detay/387154
dc.language.iso en
dc.relation.ispartof International Journal of Advances in Engineering and Pure Sciences (Online)
dc.rights info:eu-repo/semantics/openAccess
dc.subject Matematik
dc.title The Fourier Transform of the First Derivative of the Generalized Logistic Growth Curve en_US
dc.type Article
dspace.entity.type Publication
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gdc.author.id 0000-0002-6043-0833
gdc.bip.impulseclass C5
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gdc.collaboration.industrial false
gdc.description.department Kadir Has University
gdc.description.departmenttemp [Ozdemır, Yunus] Eskişehir Teknik Üniversitesi, Matematik Bölümü, Eskişehir, Türkiye; [Bilge, Ayse Humeyra] Kadir Has Üniversitesi, Mühendislik Ve Doğa Bilimleri Fakültesi, İstanbul, Türkiye
gdc.description.endpage 56
gdc.description.issue 1
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
gdc.description.startpage 52
gdc.description.volume 32
gdc.identifier.openalex W2996382074
gdc.identifier.trdizinid 387154
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gdc.oaire.keywords N/A
gdc.oaire.keywords Mathematics - Classical Analysis and ODEs
gdc.oaire.keywords Classical Analysis and ODEs (math.CA)
gdc.oaire.keywords FOS: Mathematics
gdc.oaire.popularity 1.3503004E-9
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gdc.oaire.sciencefields 0103 physical sciences
gdc.oaire.sciencefields 0202 electrical engineering, electronic engineering, information engineering
gdc.oaire.sciencefields 02 engineering and technology
gdc.oaire.sciencefields 0210 nano-technology
gdc.oaire.sciencefields 01 natural sciences
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gdc.virtual.author Bilge, Ayşe Hümeyra
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