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{{DISPLAYTITLE:{{math|''Y''}} and {{math|'''H'''}} transforms}} ...orms''' and {{math|'''H'''}} '''transforms''' are complementary pairs of [[integral transform]]s involving, respectively, the [[Neumann function]] ([[Bessel fu ...

...u transforms, the N-transform inherits all the applied aspects of the both transforms. Most recently, F. B. M. Belgacem<ref name="Belgacem3"/> has renamed it the Khan<ref name="Khan"/> showed that the above integral converges to [[Laplace transform]] when ''u''&nbsp;=&nbsp;1, and into [[Sum ...

...named after [[Pierre Simon Laplace]] and [[John Renshaw Carson]], is an [[integral transform]] with significant applications in the field of [[physics]] and e ...nt, <math>i\infty</math> refers to the imaginary axis, which indicates the integral is carried out along a straight line parallel to the imaginary axis lying t ...

In mathematics, '''Jacobi transform''' is an [[integral transform]] named after the mathematician [[Carl Gustav Jacob Jacobi]], whi ...wei|last3=Xia|first3=Jianlin|date=2019|title=Fast structured Jacobi-Jacobi transforms|journal=Math. Comp.|volume=88|issue=318|pages=1743&ndash;1772|doi=10.1090/m ...

{{Short description|Integral transform introduced in 1990}} ...st=Watugala |first=G. K. |date=January 1993 |title=Sumudu transform: a new integral transform to solve differential equations and control engineering problems ...

The Erdélyi–Kober fractional integral is given by which generalizes the [[Riemann fractional integral]] and the [[Weyl integral]]. ...

{{Short description|Class of integral and differential operator}} ...d of [[harmonic analysis]], an '''oscillatory integral operator''' is an [[integral operator]] of the form ...

In mathematics, the '''Mehler–Fock transform''' is an [[integral transform]] introduced by {{harvs|txt|authorlink=Gustav Ferdinand Mehler|l ...first1=V. A. | title=On the representation of an arbitrary function by an integral involving Legendre's functions with a complex index | mr=0009665 | year=194 ...

*[[Fourier transform]] ([[List of Fourier-related transforms]]): **[[Fourier inversion theorem|Fourier integral theorem]] ...

...nels of the transform.<ref>Debnath, Lokenath, and Dambaru Bhatta. Integral transforms and their applications. CRC press, 2014.</ref><ref>Debnath, L. "On Laguerre ...1}{\alpha+1};\frac{1}{a^2}\right)</math><ref>Howell, W. T. "CI. A definite integral for legendre functions." The London, Edinburgh, and Dublin Philosophical Ma ...

...tics. The function was originally introduced to solve certain classes of [[integral equation]]s. Later the function was found to have applications in the theor === Laplace transforms === ...

...finding approximate solutions of [[partial differential equations]] and [[integral equations]] based on the translates of [[sinc]] function and Cardinal funct *approximate definite and indefinite [[integral|integration]], ...

...ther function having a singularity at the origin. Specifically, the Riesz transforms of a complex-valued function ƒ on '''R'''^''d'' are defined by The Riesz transforms arises in the study of differentiability properties of harmonic potentials ...

...].<ref>{{cite book | first=A.J. | last=Jerri | title=Integral and discrete transforms with applications and error analysis| location=New York | publisher=Marcel [[Category:Discrete transforms]] ...

{{Short description|An integral transform}} ...journal |last=Aboodh |first=Khalid Suliman |date=2013-04-01 |title=The new integral transform &quot;Aboodh transform&quot; |url=https://go.gale.com/ps/i.do?p=A ...

'''Multiresolution Fourier Transform''' is an integral [[fourier transform]] that represents a specific [[wavelet]]-like transform Then, new transforms of function <math>f(t)</math> can be introduced ...

...positive integers which are connected with the derivatives of the Poisson integral kernel.<ref name=jerri>{{cite book|last1=Abdul J. Jerri|title=The Gibbs Phe ...n wavelet transforms using the formula for inverse continuous-time wavelet transforms. ...

{{Short description|Integral transform}} ...s-date=23 January 2013}}</ref> that is one of the cornerstones of modern [[integral geometry]]. It is very closely related to the [[Radon transform]], and coin ...

integral can be described by four indices, that is the indices of the four basis fun It is customary to denote these indices as p,q,r and s and the integral as (pq|rs). Assuming that ...

...and the [[fractional calculus|fractional power]] is defined using Fourier transforms. == Integral representations == ...