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...alpha}^{\beta}</math> is a space of [[test function]]s for the theory of [[generalized function]]s, introduced by {{harvs|txt|last=Gelfand|author1-link=Israel Gel ...title=Generalized functions. Vol. 2. Spaces of fundamental and generalized functions|origyear=1958|publisher=[[Academic Press]]|location=Boston, MA| mr=0230128| ...

...idem Aşçıoğlu |date=September 2015 |title=The Generalized Incomplete Gamma Functions |publisher=Eastern Mediterranean University |s2cid=126117454 |url=https://p ...Library of Mathematical Functions]]<ref>{{dlmf|id=11.10|title=Anger-Weber Functions|first=R. B. |last=Paris}}</ref> can related: ...

{{Short description|Types generalized of derivatives}} ...=F. H. | journal=Transactions of the American Mathematical Society | title=Generalized gradients and applications | volume=205 | pages=247 | date= 1975 | issn=000 ...

...e=A Generalized polygamma function|journal=Integral Transforms and Special Functions|volume=15|issue=2|date=Apr 2004|pages=101–115|doi=10.1080/10652460310001600 The generalized polygamma function is defined as follows: ...

In [[mathematics]], the '''Bessel–Maitland function''', or '''Wright generalized Bessel function''', is a generalization of the [[Bessel function]], introdu ...tion | last1=Wright | first1=E. M. | title=The asymptotic expansion of the generalized Bessel function. | journal=Proceedings of the London Mathematical Society | ...

* [[Generalized hypergeometric function]], a family of mathematical functions denoted as <math>_pF_q</math> ...

The case <math>r=1</math>, sometimes called [[generalized Appell polynomials]], was studied by {{harvs|txt|last=Boas|authorlink=Ralph ...last2=Buck | first2=R. Creighton | title=Polynomial expansions of analytic functions | url=https://books.google.com/books?id=eihMuwkh4DsC | publisher=[[Springer ...

{{about|limits of sequences of generalized functions|limits of probability distributions|Convergence of random variables#Converg ...quence of functions]]; a limit as a distribution may exist when a limit of functions does not. ...

...ty )</math>. The original construction of Boehmians gives us a space of [[generalized function]]s that includes all regular operators and has the algebraic chara ...ariety of spaces of generalized functions on <math>\mathbb{R}^N</math> and generalized [[integral transform]]s on those spaces. It was also applied to function s ...

...of a bell-shaped function is typically a [[sigmoid function]]. Bell shaped functions are also commonly symmetric. Many common probability distribution functions are bell curves. ...

...atician)|Robert MacPherson]]. The main point of the theory is to consider functions <math>f : M \to \mathbb R</math> and consider how the stratified space <mat *{{cite journal |first=D. |last=Handron |title=Generalized billiard paths and Morse theory on manifolds with corners |journal=Topology ...

| name = Generalized gamma ...ll distribution]] and the [[gamma distribution]]) are special cases of the generalized gamma, it is sometimes used to determine which parametric model is appropri ...

...arious estimation problems. This is a direct result of the fact that ridge functions are constant in <math>d-1</math> directions: ...ov>{{Cite book|last1=Ismailov|first1=Vugar|date=December 2021|title= Ridge functions and applications in neural networks|url= https://www.ams.org/books/surv/263 ...

{{Short description|Generalization of analytic functions}} ...=1951|year3=1953|year4=1956}} that generalize [[Analytic function|analytic functions]] and satisfy a weakened form of the [[Cauchy–Riemann equations]]. ...

...ield of fractions]] of a convolution [[ring (abstract algebra) | ring]] of functions: a convolution quotient is to the [[operation (mathematics)|operation]] of ...fine convolution quotients by saying that for two [[function (mathematics)|functions]] ''ƒ'',&nbsp;''g'', the pair (''ƒ'',&nbsp;''g'') has the same convolution ...

...lized spheres: for a homogeneous space ''X''&nbsp;=&nbsp;''G''/''H'', a '''generalized sphere''' centered at a point ''x''₀ is an [[group orbit|orbit]] ...group]] and ''K'' is a symmetric [[compact group|compact]] [[subgroup]]. Generalized spheres are then actual [[geodesic]] spheres and the spherical averaging op ...

In mathematics, '''Brenke polynomials''' are special cases of [[generalized Appell polynomials]], and '''Brenke–Chihara polynomials''' are the Brenke p ...'Brenke polynomials''' ''P''_''n'', which are special cases of [[generalized Appell polynomials]] with generating function of the form ...

...s in the same cluster share some common features. In this situation, using generalized linear models and ignoring the correlations may cause problems.<ref name=CD ...s some strictly [[monotone function]] of <math>u</math>. In a hierarchical generalized linear model, the assumption on <math>y|u</math> and <math>u</math> need to ...

...{cite journal|first=Balas Kausik|last=Natarajan|title=On Learning sets and functions|journal=Machine Learning|volume=4|pages=67–97|year=1989|doi=10.1007/BF00114 Let <math>H</math> be a set of functions from a set <math>X</math> to a set <math>Y</math>. <math>H</math> shatters ...

...te journal | doi = 10.1107/S0108767395000365| title = On the use of crenel functions for occupationally modulated structures| journal = Acta Crystallographica S [[Category:Special functions]] ...