Suchergebnisse - "Integral transforms of special functions"

Some results of new definition of N_F^α-Fourier transform and their applications: Some results of new definition of \(N_F^\alpha\)-Fourier transform and their applications

Autoren: Rachid, Bahloul Sababheh, Mohammed

Quelle: Gulf Journal of Mathematics. 19:228-246

Schlagwörter: General integral transforms, Volterra integral equations, Laplace transform, Integral transforms of special functions, periodic functions, partial differential equations, Special integral transforms (Legendre, Hilbert, etc.), Functional-differential inequalities

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/8031461
https://doi.org/10.56947/gjom.v19i2.2647

Analysis of the beta-logarithmic function and its properties

Autoren: Nabiullah Khan Rakibul Sk

Quelle: Analysis. 45:73-83

Schlagwörter: beta function, Classical hypergeometric functions, \({}_2F_1\), Other functions defined by series and integrals, Integral transforms of special functions, Confluent hypergeometric functions, Whittaker functions, \({}_1F_1\), hypergeometric function, logarithmic mean, beta distribution, Gamma, beta and polygamma functions, confluent hypergeometric function

Dateibeschreibung: application/xml

A study of two new integral representations for Gauss’s hypergeometric function with applications: A study of two new integral representations for Gauss's hypergeometric function with applications

Autoren: Wathek Chammam Arjun K. Rathie Mongia Khlifi

Quelle: Afrika Matematika. 36

Schlagwörter: Generalized hypergeometric series, \({}_pF_q\), double integral, Integral transforms of special functions, integral representations, hypergeometric function, Integrals of Riemann, Stieltjes and Lebesgue type, Gauss summation theorem, Asymptotic enumeration, Combinatorial inequalities, Classical hypergeometric functions, \({}_2F_1\), Special sequences and polynomials, Other combinatorial number theory, Confluent hypergeometric functions, Whittaker functions, \({}_1F_1\), Fuss-Catalan-Qi numbers, Watson summation theorem, Catalan-Qi numbers

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/8034254
https://doi.org/10.1007/s13370-025-01239-3

A study on unification of generalized hypergeometric function and Mittag-Leffler function with certain integral transforms of generalized basic hypergeometric function

Autoren: K.K. Chaudhary S.B. Rao

Quelle: Researches in Mathematics, Vol 32, Iss 1, Pp 16-32 (2024)

Schlagwörter: basic hypergeometric functions in one variable ${}_r \phi _s$, q-calculus and related topics, mittag-leffler functions and generalizations, integral transforms of special functions, Mathematics, QA1-939

Dateibeschreibung: electronic resource

Relation: https://vestnmath.dnu.dp.ua/index.php/rim/article/view/414/414; https://doaj.org/toc/2664-4991; https://doaj.org/toc/2664-5009

Zugangs-URL: https://doaj.org/article/4b9b8853aaa84d39b7cffa4f76f6b8e6

Some remarks on a generalization of the Stieltjes transform

Autoren: Srivastava, H. M.

Quelle: Publicationes Mathematicae Debrecen. 23:119-122

Schlagwörter: Integral transforms of special functions, Special integral transforms (Legendre, Hilbert, etc.), 0102 computer and information sciences, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3500431

Finite-part integration in the presence of competing singularities: Transformation equations for the hypergeometric functions arising from finite-part integration: Finite-part integration in the presence of competing singularities: transformation equations for the hypergeometric functions arising from finite-part integration

Autoren: Lloyd L. Villanueva Eric A. Galapon

Quelle: Journal of Mathematical Physics. 62

Schlagwörter: Generalized hypergeometric series, \({}_pF_q\), Mathematics - Complex Variables, Integral transforms of special functions, FOS: Physical sciences, Mathematical Physics (math-ph), 01 natural sciences, finite-part integration, Mathematics - Classical Analysis and ODEs, Stieltjes transform, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Special integral transforms (Legendre, Hilbert, etc.), Complex Variables (math.CV), 0101 mathematics, singularities, Mathematical Physics

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/2012.01943
http://arxiv.org/abs/2012.01943
http://ui.adsabs.harvard.edu/abs/2020arXiv201201943V/abstract
https://arxiv.org/abs/2012.01943
https://arxiv.org/pdf/2012.01943.pdf
https://aip.scitation.org/doi/10.1063/5.0038274
https://ui.adsabs.harvard.edu/abs/2021JMP....62d3505V/abstract

A new generalization of nonlinear coherent states for the pseudoharmonic oscillator

Autoren: K. Ahbli H. Kassogué P. Kayupe Kikodio et al.

Quelle: Analysis and Mathematical Physics. 11

Schlagwörter: pseudo-harmonic oscillator, Bargmann-type transform, nonlinear coherent states, Integral transforms of special functions, 0103 physical sciences, Coherent states, Potential operators, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7319386
https://doi.org/10.1007/s13324-021-00484-6
https://link.springer.com/article/10.1007/s13324-021-00484-6
https://ui.adsabs.harvard.edu/abs/2021AnMP...11...62A/abstract

Unified Approach to Fractional Calculus Images of Special Functions—A Survey

Autoren: Virginia Kiryakova

Quelle: Mathematics, Vol 8, Iss 2260, p 2260 (2020)

Schlagwörter: fractional calculus operators, special functions, generalized hypergeometric functions, integral transforms of special functions, Mathematics, QA1-939

Relation: https://www.mdpi.com/2227-7390/8/12/2260; https://doaj.org/toc/2227-7390; https://doaj.org/article/78c677a826ce408f89b0ad99933ee3ed

Verfügbarkeit: https://doi.org/10.3390/math8122260
https://doaj.org/article/78c677a826ce408f89b0ad99933ee3ed

Gevrey Asymptotics and Stieltjes Transforms of Algebraically Decaying Functions: Gevrey asymptotics and Stieltjes transforms of algebraically decaying functions

Autoren: Roderick Wong Yu–Qiu Zhao

Quelle: The Selected Works of Roderick S C Wong ISBN: 9789814656047

Schlagwörter: algebraically decaying functions, Stokes phenomenon, Integral transforms of special functions, 0103 physical sciences, Gevrey asymptotics, exponentially decaying kernels, 16. Peace & justice, asymptotic expansions, 01 natural sciences, Stieltjes transforms

Dateibeschreibung: application/xml

Zugangs-URL: https://royalsocietypublishing.org/doi/10.1098/rspa.2001.0883
http://rspa.royalsocietypublishing.org/content/458/2019/625.e-letters
http://rspa.royalsocietypublishing.org/content/458/2019/625
https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2001.0883

A unified inverse Laplace transform formula involving the product of a general class of polynomials and the Fox $H$-function: A unified inverse Laplace transform formula involving the product of a general class of polynomials and the Fox \(H\)-function

Autoren: Deepika Singh R. C. Soni

Quelle: Tamkang Journal of Mathematics. 36:87-92

Schlagwörter: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Other hypergeometric functions and integrals in several variables, Hermite polynomials, Laplace transform, Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), Integral transforms of special functions, inverse Laplace transform, general polynomial, Fox \(H\)-function, Laguerre polynomials, modified Bessel function, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://journals.math.tku.edu.tw/index.php/TKJM/article/download/120/131
https://zbmath.org/2220060
http://journals.math.tku.edu.tw/index.php/TKJM/article/view/120/0

On quadrature of Bessel transformations

Autoren: Shuhuang Xiang

Quelle: Journal of Computational and Applied Mathematics. 177:231-239

Schlagwörter: numerical examples, Applied Mathematics, Integral transforms of special functions, 01 natural sciences, Bessel functions, Computational Mathematics, Computation of special functions and constants, construction of tables, integral transformations of highly oscillatory functions, quadrature, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Numerical approximation and evaluation of special functions, 0101 mathematics, Filon-type method, Numerical methods for integral transforms

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/abs/pii/S0377042704004339
http://ui.adsabs.harvard.edu/abs/2005JCoAM.177..231X/abstract
https://www.sciencedirect.com/science/article/pii/S0377042704004339
https://core.ac.uk/display/82541681

On the Fourier transform of SO(d)-finite measures on the unit sphere: On the Fourier transform of SO(\(d\))-finite measures on the unit sphere

Autoren: Agata Bezubik Agata Da̧browska Aleksander Strasburger

Quelle: Archiv der Mathematik. 84:470-480

Schlagwörter: Bessel functions, homogeneous polynomials, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Integral transforms of special functions, Fourier transform of measures on the unit sphere, spherical harmonics, Connections of hypergeometric functions with groups and algebras, and related topics, Special integral transforms (Legendre, Hilbert, etc.), 0101 mathematics, Spherical harmonics, Hankel transform, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2173769
https://doi.org/10.1007/s00013-005-1146-z
https://link.springer.com/article/10.1007/s00013-005-1146-z
https://link.springer.com/content/pdf/10.1007/s00013-005-1146-z.pdf

Operational calculus and Fourier transform on Boehmians

Autoren: R. Roopkumar V. Karunakaran

Quelle: Colloquium Mathematicum. 102:21-32

Schlagwörter: generalized product, ultradistributions, Integral transforms of special functions, Classical operational calculus, Fourier transform, Integral transforms in distribution spaces, Boehmians, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://www.impan.pl/shop/publication/transaction/download/product/86887?download.pdf
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-cm102-1-3
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/colloquium-mathematicum/all/102/1/86887/operational-calculus-and-fourier-transform-on-boehmians
https://eudml.org/similar/doc/283933

An LP version of Hardy's theorem for the Dunkl transform: An \(L^p\) version of Hardy's theorem for the Dunkl transform

Autoren: Khalifa Trimèche Léonard Gallardo

Quelle: Journal of the Australian Mathematical Society. 77:371-386

Schlagwörter: Integral transforms of special functions, Reflection groups, reflection geometries, Other transforms and operators of Fourier type, differential-difference operators, Special integral transforms (Legendre, Hilbert, etc.), Dunkl transform, 0101 mathematics, \(L^p\)-spaces and other function spaces on groups, semigroups, etc, special Lebesgue spaces, reflections groups, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/A0C009A1B91BB2A49A5B81944E3866F9/S1446788700014518a.pdf/div-class-title-an-span-class-italic-l-span-class-sup-p-span-span-version-of-hardy-s-theorem-for-the-dunkl-transform-div.pdf
http://www.austms.org.au/Publ/JAustMS/V77P3/pdf/q116.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=2149232
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S1446788700014518
https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/an-lp-version-of-hardys-theorem-for-the-dunkl-transform/A0C009A1B91BB2A49A5B81944E3866F9
https://www.austms.org.au/Publ/JAustMS/V77P3/pdf/q116.pdf

Padé approximation of Laplace transforms of some special functions in terms of Painlevé equations

Autoren: Norihiro Ohira Yoshimasa Nakamura

Quelle: Inverse Problems. 20:1583-1591

Schlagwörter: Laplace transform, Integral transforms of special functions, Hermite-Weber function, Painlevé equations, Airy function, Bessel function, 0101 mathematics, Padé approximation, 01 natural sciences, Numerical methods for integral transforms

Dateibeschreibung: application/xml

Zugangs-URL: http://ui.adsabs.harvard.edu/abs/2004InvPr..20.1583N/abstract
https://iopscience.iop.org/article/10.1088/0266-5611/20/5/015/meta
https://iopscience.iop.org/article/10.1088/0266-5611/20/5/015/pdf

On Polyconvolutions Generated by the Hankel Transform: On polyconvolutions generated by the Hankel transform

Autoren: L. E. Britvina

Quelle: Mathematical Notes. 76:18-24

Schlagwörter: Bessel function of the first order, Integral transforms of special functions, General theory of ordinary differential operators, integro-differential equations, 01 natural sciences, generalized convolution, Convolution as an integral transform, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Integro-ordinary differential equations, factorization, differential operator, systems, Special integral transforms (Legendre, Hilbert, etc.), Bessel and Airy functions, cylinder functions, \({}_0F_1\), Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), polyconvolution, 0101 mathematics, Hankel transform

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1023/B:MATN.0000036738.90655.d5

On Weyl fractional integral operators

Autoren: M. A. Pathan Rashmi Jain

Quelle: Tamkang Journal of Mathematics. 35:169-174

Schlagwörter: Classical hypergeometric functions, \({}_2F_1\), Weyl fractional integral operators, Integral transforms of special functions, 0103 physical sciences, Humbert's function, 0101 mathematics, Appell's functions, 01 natural sciences, Lauricella functions

Dateibeschreibung: application/xml

Zugangs-URL: https://journals.math.tku.edu.tw/index.php/TKJM/article/download/218/224
https://zbmath.org/2114337
https://journals.math.tku.edu.tw/index.php/TKJM/article/view/218

Boundedness properties for a class of integral operators including the index transforms and the operators with complex Gaussian kernels

Autoren: E. R. Negrin B. J. González

Quelle: Journal of Mathematical Analysis and Applications. 293:219-226

Schlagwörter: Integral operators, \({_2F_1}\) transform, Mehler-Fock transform, Kontorovich-Lebedev transform, integral operators, Gauss function, Applied Mathematics, Integral transforms of special functions, Complex Gaussian operators, Index transforms, 01 natural sciences, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), index transforms, Olevskii transform, General integral operators, Classical hypergeometric functions, \({}_2F_1\), Special integral transforms (Legendre, Hilbert, etc.), weighted \(Lp\)-space, 0101 mathematics, Analysis, hypergeometric functions

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/pii/S0022247X04000253
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04000253
https://core.ac.uk/display/82468844

An extension of the finite Hankel transform

Autoren: Nabil T. M. Eldabe Moustafa El-Shahed M. Shawkey

Quelle: Applied Mathematics and Computation. 151:713-717

Schlagwörter: Bessel functions, 0203 mechanical engineering, inversion formula, Transform methods (e.g., integral transforms) applied to PDEs, Integral transforms of special functions, Special integral transforms (Legendre, Hilbert, etc.), Bessel and Airy functions, cylinder functions, \({}_0F_1\), operational calculus, 02 engineering and technology, finite integrals, mixed boundary value problems, 0210 nano-technology

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2082084
https://doi.org/10.1016/s0096-3003(03)00372-2
https://dblp.uni-trier.de/db/journals/amc/amc151.html#EldabeES04
https://doi.org/10.1016/S0096-3003(03)00372-2
http://www.sciencedirect.com/science/article/pii/S0096300303003722
https://www.sciencedirect.com/science/article/pii/S0096300303003722

Inverse Laplace transform for heavy-tailed distributions: Inverse Laplace transform for heavy-tailed distributions.

Autoren: Tagliani, Aldo Y. VELAZQUEZ

Quelle: Applied Mathematics and Computation. 150:337-345

Schlagwörter: 0209 industrial biotechnology, maximum entropy, convergence, Laplace transform, Integral transforms of special functions, Laplace transform inversion, fractional moments, Hankel matrix, 02 engineering and technology, fractional calculus, generalized Hausdorff moment problem, Fractional derivatives and integrals, Moment problems, 0202 electrical engineering, electronic engineering, information engineering

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2055859
https://doi.org/10.1016/s0096-3003(03)00235-2
https://hdl.handle.net/11572/4500