Asensi, Alejandro Gil; Labarga, Edgar; Mínguez Ceniceros, Judit; Varona, Juan Luis Boole-Dunkl polynomials and generalizations. (English) Zbl 07762423 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 16, 18 p. (2024). Reviewer: Thomas Ernst (Uppsala) MSC: 11B68 33C10 11B83 PDFBibTeX XMLCite \textit{A. G. Asensi} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 16, 18 p. (2024; Zbl 07762423) Full Text: DOI OA License
Lizama, Carlos; Murillo-Arcila, Marina The semidiscrete damped wave equation with a fractional Laplacian. (English) Zbl 1510.35382 Proc. Am. Math. Soc. 151, No. 5, 1987-1999 (2023). MSC: 35R11 39A06 26A33 44A10 PDFBibTeX XMLCite \textit{C. Lizama} and \textit{M. Murillo-Arcila}, Proc. Am. Math. Soc. 151, No. 5, 1987--1999 (2023; Zbl 1510.35382) Full Text: DOI
Yakubovich, S. Discrete Fourier-Jacobi transform. (English) Zbl 1490.39005 Integral Transforms Spec. Funct. 33, No. 3, 191-198 (2022). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 39A12 45A05 44A05 44A15 42A16 33C05 33C10 PDFBibTeX XMLCite \textit{S. Yakubovich}, Integral Transforms Spec. Funct. 33, No. 3, 191--198 (2022; Zbl 1490.39005) Full Text: DOI arXiv
Domínguez de la Iglesia, Manuel Orthogonal polynomials in the spectral analysis of Markov processes. Birth-death models and diffusion. (English) Zbl 1507.60001 Encyclopedia of Mathematics and its Applications 181. Cambridge: Cambridge University Press (ISBN 978-1-316-51655-3/hbk; 978-1-009-03054-0/ebook). xii, 334 p. (2022). Reviewer: Lalit Mohan Upadhyaya (Dehradun) MSC: 60-01 33-01 33C10 33C45 44A10 44A60 47D07 60J05 60J10 60J20 60J22 60J25 60J28 60J35 60J60 60J65 60J70 65C40 92D25 PDFBibTeX XMLCite \textit{M. Domínguez de la Iglesia}, Orthogonal polynomials in the spectral analysis of Markov processes. Birth-death models and diffusion. Cambridge: Cambridge University Press (2022; Zbl 1507.60001) Full Text: DOI
Yakubovich, S. Discrete Lebedev-Skalskaya transforms. (English) Zbl 1491.44004 Integral Transforms Spec. Funct. 32, No. 11, 883-892 (2021). MSC: 44A15 42A16 33C10 39A12 PDFBibTeX XMLCite \textit{S. Yakubovich}, Integral Transforms Spec. Funct. 32, No. 11, 883--892 (2021; Zbl 1491.44004) Full Text: DOI arXiv
Potts, Daniel; Tasche, Manfred Continuous window functions for NFFT. (English) Zbl 1473.65358 Adv. Comput. Math. 47, No. 4, Paper No. 53, 34 p. (2021). MSC: 65T50 94A12 42A10 PDFBibTeX XMLCite \textit{D. Potts} and \textit{M. Tasche}, Adv. Comput. Math. 47, No. 4, Paper No. 53, 34 p. (2021; Zbl 1473.65358) Full Text: DOI arXiv
Yakubovich, Semyon Discrete Kontorovich-Lebedev transforms. (English) Zbl 1476.44005 Ramanujan J. 55, No. 2, 517-538 (2021). MSC: 44A15 42A16 33C10 39A12 PDFBibTeX XMLCite \textit{S. Yakubovich}, Ramanujan J. 55, No. 2, 517--538 (2021; Zbl 1476.44005) Full Text: DOI arXiv
Yakubovich, Semyon Discrete index Whittaker transforms. (English) Zbl 1473.44004 Result. Math. 76, No. 2, Paper No. 106, 10 p. (2021). MSC: 44A15 42A16 33C15 33C10 39A12 PDFBibTeX XMLCite \textit{S. Yakubovich}, Result. Math. 76, No. 2, Paper No. 106, 10 p. (2021; Zbl 1473.44004) Full Text: DOI arXiv
Barnett, Alex H. Aliasing error of the \(\exp(\beta\sqrt{1-z^2})\) kernel in the nonuniform fast Fourier transform. (English) Zbl 1464.65295 Appl. Comput. Harmon. Anal. 51, 1-16 (2021). MSC: 65T50 PDFBibTeX XMLCite \textit{A. H. Barnett}, Appl. Comput. Harmon. Anal. 51, 1--16 (2021; Zbl 1464.65295) Full Text: DOI arXiv
Faustino, Nelson Time-changed Dirac-Fokker-Planck equations on the lattice. (English) Zbl 1441.30073 J. Fourier Anal. Appl. 26, No. 3, Paper No. 44, 31 p. (2020). MSC: 30G35 PDFBibTeX XMLCite \textit{N. Faustino}, J. Fourier Anal. Appl. 26, No. 3, Paper No. 44, 31 p. (2020; Zbl 1441.30073) Full Text: DOI arXiv
Averseng, Martin Fast discrete convolution in \(\mathbb{R}^2\) with radial kernels using non-uniform fast Fourier transform with nonequispaced frequencies. (English) Zbl 1431.65252 Numer. Algorithms 83, No. 1, 33-56 (2020). Reviewer: Manfred Tasche (Rostock) MSC: 65T50 33C10 41A55 PDFBibTeX XMLCite \textit{M. Averseng}, Numer. Algorithms 83, No. 1, 33--56 (2020; Zbl 1431.65252) Full Text: DOI
Xiang, Shuhuang On Van der Corput-type lemmas for Bessel and Airy transforms and applications. (English) Zbl 1459.65033 J. Comput. Appl. Math. 351, 179-185 (2019). MSC: 65D32 44A55 33C10 PDFBibTeX XMLCite \textit{S. Xiang}, J. Comput. Appl. Math. 351, 179--185 (2019; Zbl 1459.65033) Full Text: DOI
Stoynov, Yonko A new approach to improve the numerical procedure for 2D anti-plane crack problems in functionally graded magneto-electro-elastic materials. (English) Zbl 1399.65231 PLISKA, Stud. Math. 26, 215-224 (2016). Reviewer: Angela Slavova (Sofia) MSC: 65M38 65N80 65Z05 44A12 65T50 74F15 33C10 74R99 PDFBibTeX XMLCite \textit{Y. Stoynov}, PLISKA, Stud. Math. 26, 215--224 (2016; Zbl 1399.65231) Full Text: Link
Abouelaz, Ahmed Discrete convolution with Bessel functions. (English) Zbl 1353.44002 Koufany, Khalid (ed.), Analysis, geometry and representations on Lie groups and homogeneous spaces. Conference in honor of Ahmed Intissar and Takeshi Kawazoe, Marrakech, Morocco, December 8–12, 2014. Yokohama: Keio University, Department of Mathematics. Seminar on Mathematical Sciences 39, 1-11 (2016). MSC: 44A12 05B35 PDFBibTeX XMLCite \textit{A. Abouelaz}, Semin. Math. Sci. 39, 1--11 (2016; Zbl 1353.44002)
Wang, Xiang-Yang; Zhang, Na; Zheng, Hong-Liang; Liu, Yang-Cheng Extended shearlet HMT model-based image denoising using BKF distribution. (English) Zbl 1405.94020 J. Math. Imaging Vis. 54, No. 3, 301-319 (2016). MSC: 94A08 42C40 PDFBibTeX XMLCite \textit{X.-Y. Wang} et al., J. Math. Imaging Vis. 54, No. 3, 301--319 (2016; Zbl 1405.94020) Full Text: DOI
Wang, X. F.; Zhu, W. D. A modified incremental harmonic balance method based on the fast Fourier transform and Broyden’s method. (English) Zbl 1347.65201 Nonlinear Dyn. 81, No. 1-2, 981-989 (2015). MSC: 65T50 34B30 34A25 42A38 PDFBibTeX XMLCite \textit{X. F. Wang} and \textit{W. D. Zhu}, Nonlinear Dyn. 81, No. 1--2, 981--989 (2015; Zbl 1347.65201) Full Text: DOI
Baruch, Ehud Moshe The classical Hankel transform in the Kirillov model of the discrete series. (English) Zbl 1274.22009 Integral Transforms Spec. Funct. 24, No. 5, 339-356 (2013). Reviewer: Eugene Kryachko (Liège) MSC: 22E50 22E35 11S37 PDFBibTeX XMLCite \textit{E. M. Baruch}, Integral Transforms Spec. Funct. 24, No. 5, 339--356 (2013; Zbl 1274.22009) Full Text: DOI arXiv
Carley, Michael Numerical solution of the modified Bessel equation. (English) Zbl 1271.65144 IMA J. Numer. Anal. 33, No. 3, 1048-1062 (2013). MSC: 65N38 35J05 35J40 33C10 65D20 33F05 65N15 PDFBibTeX XMLCite \textit{M. Carley}, IMA J. Numer. Anal. 33, No. 3, 1048--1062 (2013; Zbl 1271.65144) Full Text: DOI arXiv Link
Koval, Peter; Talman, J. D. Update of spherical Bessel transform: FFTW and OpenMP. (English) Zbl 1219.65156 Comput. Phys. Commun. 181, No. 12, 2212-2213 (2010). MSC: 65R10 44A15 65T50 PDFBibTeX XMLCite \textit{P. Koval} and \textit{J. D. Talman}, Comput. Phys. Commun. 181, No. 12, 2212--2213 (2010; Zbl 1219.65156) Full Text: DOI
Nadarajah, Saralees GG DCT coefficient models. (English) Zbl 1204.33019 Int. J. Wavelets Multiresolut. Inf. Process. 8, No. 5, 793-812 (2010). Reviewer: Nele De Schepper (Gent) MSC: 33C90 62E99 PDFBibTeX XMLCite \textit{S. Nadarajah}, Int. J. Wavelets Multiresolut. Inf. Process. 8, No. 5, 793--812 (2010; Zbl 1204.33019) Full Text: DOI
Kovchegov, Yevgeniy; Meredith, Nick; Nir, Eyal Occupation times and Bessel densities. (English) Zbl 1181.60115 Stat. Probab. Lett. 80, No. 2, 104-110 (2010). MSC: 60J27 60J28 60J35 33C10 PDFBibTeX XMLCite \textit{Y. Kovchegov} et al., Stat. Probab. Lett. 80, No. 2, 104--110 (2010; Zbl 1181.60115) Full Text: DOI arXiv
Nadarajah, Saralees Gaussian DCT coefficient models. (English) Zbl 1173.33003 Acta Appl. Math. 106, No. 3, 455-472 (2009). Reviewer: Pushpa N. Rathie (Brasilia) MSC: 33C10 60E99 33C05 94A08 PDFBibTeX XMLCite \textit{S. Nadarajah}, Acta Appl. Math. 106, No. 3, 455--472 (2009; Zbl 1173.33003) Full Text: DOI
Singh, Vineet K.; Singh, Om P.; Pandey, Rajesh K. Numerical evaluation of the Hankel transform by using linear Legendre multi-wavelets. (English) Zbl 1197.65237 Comput. Phys. Commun. 179, No. 6, 424-429 (2008). MSC: 65T50 65T60 44A15 PDFBibTeX XMLCite \textit{V. K. Singh} et al., Comput. Phys. Commun. 179, No. 6, 424--429 (2008; Zbl 1197.65237) Full Text: DOI
Nadarajah, Saralees Laplacian DCT coefficient models. (English) Zbl 1157.33317 Int. J. Wavelets Multiresolut. Inf. Process. 6, No. 4, 553-573 (2008). MSC: 33C90 62E99 PDFBibTeX XMLCite \textit{S. Nadarajah}, Int. J. Wavelets Multiresolut. Inf. Process. 6, No. 4, 553--573 (2008; Zbl 1157.33317) Full Text: DOI
Ciaurri, Óscar Discrete Fourier–Neumann series. (English) Zbl 1043.42018 J. Approximation Theory 126, No. 2, 126-140 (2004). MSC: 42C10 44A15 PDFBibTeX XMLCite \textit{Ó. Ciaurri}, J. Approx. Theory 126, No. 2, 126--140 (2004; Zbl 1043.42018) Full Text: DOI
Pathak, R. S.; Dixit, M. M. Continuous and discrete Bessel wavelet transforms. (English) Zbl 1034.44004 J. Comput. Appl. Math. 160, No. 1-2, 241-250 (2003). Reviewer: Khalifa Trimèche (Tunis) MSC: 44A15 65T60 65T50 PDFBibTeX XMLCite \textit{R. S. Pathak} and \textit{M. M. Dixit}, J. Comput. Appl. Math. 160, No. 1--2, 241--250 (2003; Zbl 1034.44004) Full Text: DOI
Postnikov, E. B. About calculation of the Hankel transform using preliminary wavelet transform. (English) Zbl 1029.65141 J. Appl. Math. 2003, No. 6, 319-325 (2003). Reviewer: Som Prakash Goyal (Jaipur) MSC: 65R10 44A20 33C10 65T60 65T50 PDFBibTeX XMLCite \textit{E. B. Postnikov}, J. Appl. Math. 2003, No. 6, 319--325 (2003; Zbl 1029.65141) Full Text: DOI arXiv EuDML
Nieslony, A.; Steidl, G. Approximate factorizations of Fourier matrices with nonequispaced knots. (English) Zbl 1018.65154 Linear Algebra Appl. 366, 337-351 (2003). MSC: 65T50 65F30 65F50 PDFBibTeX XMLCite \textit{A. Nieslony} and \textit{G. Steidl}, Linear Algebra Appl. 366, 337--351 (2003; Zbl 1018.65154) Full Text: DOI
Blazhevs’kyj, S. G. Finite hybrid integral transforms of (Hankel 1st kind)-(Kontorovich-Lebedev 2nd kind)-(Kontorovich-Lebedev) type. (Ukrainian) Zbl 0985.44008 Kraj. Zadachi Dyfer. Rivnyan’ 7, 19-32 (2001). Reviewer: A.D.Borisenko (Kyïv) MSC: 44A15 PDFBibTeX XMLCite \textit{S. G. Blazhevs'kyj}, Kraĭ. Zadachi Dyfer. Rivnyan' 7, 19--32 (2001; Zbl 0985.44008)
Lemoine, Didier; Jackson, Bret Quantum wave packet approach to the Eley-Rideal reactive scattering between a gas phase atom and an adsorbate. (English) Zbl 0984.81204 Comput. Phys. Commun. 137, No. 3, 415-426 (2001). MSC: 81V70 81-04 76V05 PDFBibTeX XMLCite \textit{D. Lemoine} and \textit{B. Jackson}, Comput. Phys. Commun. 137, No. 3, 415--426 (2001; Zbl 0984.81204) Full Text: DOI
Cantrell, C. D. Modern mathematical methods for physicists and engineers. (English) Zbl 0983.00005 Cambridge: Cambridge University Press. xx, 763 p. (2000). Reviewer: E.Elizalde (Barcelona) MSC: 00A06 15-01 33-01 46-01 65-01 PDFBibTeX XMLCite \textit{C. D. Cantrell}, Modern mathematical methods for physicists and engineers. Cambridge: Cambridge University Press (2000; Zbl 0983.00005)
Ding, Hongming Weighted Laplace transforms and Bessel functions on Hermitian symmetric spaces. (English) Zbl 0933.22022 Trans. Am. Math. Soc. 351, No. 10, 4205-4243 (1999). Reviewer: H.Fujiwara (Iizuka) MSC: 22E46 43A85 17C30 33C10 22E30 17C50 33B15 PDFBibTeX XMLCite \textit{H. Ding}, Trans. Am. Math. Soc. 351, No. 10, 4205--4243 (1999; Zbl 0933.22022) Full Text: DOI
Konyukh, G. V.; Mikhajlenko, B. G.; Mikhajlov, A. A. On an algorithm of domain decomposition based on finite integral Fourier-Bessel transforms. (English) Zbl 0954.86004 Bull. Novosib. Comput. Cent., Ser. Math. Model. Geophys. 1998, No. 4, 103-113 (1998). Reviewer: V.Grebenev (Novosibirsk) MSC: 86A15 86-08 65M06 35L05 65T50 PDFBibTeX XMLCite \textit{G. V. Konyukh} et al., Bull. Novosib. Comput. Cent., Ser. Math. Model. Geophys. 1998, No. 4, 103--113 (1998; Zbl 0954.86004)
Evans, G. A.; Webster, J. R. The numerical evaluation of a class of singular, oscillatory integrals. (English) Zbl 0941.65022 Int. J. Comput. Math. 68, No. 3-4, 309-322 (1998). Reviewer: W.E.Smith (Kensington) MSC: 65D32 65T40 65T50 42A16 PDFBibTeX XMLCite \textit{G. A. Evans} and \textit{J. R. Webster}, Int. J. Comput. Math. 68, No. 3--4, 309--322 (1998; Zbl 0941.65022) Full Text: DOI
Lemoine, Didier Optimal cylindrical and spherical Bessel transforms satisfying bound state boundary conditions. (English) Zbl 0927.65102 Comput. Phys. Commun. 99, No. 2-3, 297-306 (1997). MSC: 65L15 65N25 35P15 34L10 65T50 PDFBibTeX XMLCite \textit{D. Lemoine}, Comput. Phys. Commun. 99, No. 2--3, 297--306 (1997; Zbl 0927.65102) Full Text: DOI
Abuelma’atti, Muhammad Taher Harmonic and intermodulation performance of some abrupt and weak nonlinearities. (English) Zbl 0951.65150 Appl. Math. Comput. 83, No. 1, 87-96 (1997). MSC: 65T40 42A10 65Y20 PDFBibTeX XMLCite \textit{M. T. Abuelma'atti}, Appl. Math. Comput. 83, No. 1, 87--96 (1997; Zbl 0951.65150) Full Text: DOI
Stade, Eric; Layton, E. G. Generalized discrete Fourier transforms: The discrete Fourier-Riccati-Bessel transform. (English) Zbl 0874.65106 Comput. Phys. Commun. 85, No. 2-3, 336-370 (1995). MSC: 65T50 81U20 PDFBibTeX XMLCite \textit{E. Stade} and \textit{E. G. Layton}, Comput. Phys. Commun. 85, No. 2--3, 336--370 (1995; Zbl 0874.65106) Full Text: DOI
Veit, J. Fundamental solution of two- dimensional ”singular” difference equation. (Fundamentallösung der zweidimensionalen ”singulären” Differenzengleichung.) (German) Zbl 0813.39001 Z. Angew. Math. Mech. 74, No. 8, 362-364 (1994). Reviewer: J.Aczél (Waterloo / Ontario) MSC: 39A10 30E15 41A60 PDFBibTeX XMLCite \textit{J. Veit}, Z. Angew. Math. Mech. 74, No. 8, 362--364 (1994; Zbl 0813.39001) Full Text: DOI
Kalnins, E. G.; Miller, Willard jun. Models of \(q\)-algebra representations: \(q\)-integral transforms and “addition theorems”. (English) Zbl 0817.17019 J. Math. Phys. 35, No. 4, 1951-1975 (1994). Reviewer: A.Klimyk (Kiev) MSC: 17B37 81R50 33D15 44A15 PDFBibTeX XMLCite \textit{E. G. Kalnins} and \textit{W. Miller jun.}, J. Math. Phys. 35, No. 4, 1951--1975 (1994; Zbl 0817.17019) Full Text: DOI
Sharafeddin, Omar A.; Bowen, H. Ferrel; Kouri, Donald J.; Hoffman, David K. Numerical evaluation of spherical Bessel transforms via fast Fourier transforms. (English) Zbl 0757.65136 J. Comput. Phys. 100, No. 2, 294-296 (1992). Reviewer: M.Tasche (Rostock) MSC: 65R10 44A15 65T50 PDFBibTeX XMLCite \textit{O. A. Sharafeddin} et al., J. Comput. Phys. 100, No. 2, 294--296 (1992; Zbl 0757.65136) Full Text: DOI
Jerri, Abdul J. Integral and discrete transforms with applications and error analysis. (English) Zbl 0753.44001 Pure and Applied Mathematics (New York, Marcel Dekker). 162. New York: Marcel Dekker. xv, 825 p. (1992). Reviewer: L.Berg (Rostock) MSC: 44A05 42A38 65T50 44-01 45D05 35A22 34A25 PDFBibTeX XMLCite \textit{A. J. Jerri}, Integral and discrete transforms with applications and error analysis. New York: Marcel Dekker (1992; Zbl 0753.44001)
Arbenz, Kurt; Bachmann, Otto Elements of numerical and applied analysis. (Eléments d’analyse numérique et appliquée.) (French) Zbl 0760.65001 Méthodes Mathématiques pour l’Ingénieur. 7. Lausanne: Presses Polytechniques et Universitaires Romandes. x, 118 p. (1992). Reviewer: L.Gatteschi (Torino) MSC: 65-01 00A06 65D05 65D20 65S05 65N06 65D07 65L05 65D32 65M06 65T50 65R10 PDFBibTeX XMLCite \textit{K. Arbenz} and \textit{O. Bachmann}, Eléments d'analyse numérique et appliquée. Lausanne: Presses Polytechniques et Universitaires Romandes (1992; Zbl 0760.65001)
Klaverkamp, Willehad Tomographic image reconstruction with direct algebraic procedures. (Tomographische Bildrekonstruktion mit direkten algebraischen Verfahren.) (German) Zbl 0764.92014 Münster: Univ. Münster, Naturwiss. Fachbereich Mathematik, 84 S. (1991). MSC: 92C55 65R10 44A12 PDFBibTeX XMLCite \textit{W. Klaverkamp}, Tomographische Bildrekonstruktion mit direkten algebraischen Verfahren. Münster: Univ. Münster, Naturwiss. Fachbereich Mathematik (1991; Zbl 0764.92014)
Suter, Bruce W. Foundations of Hankel transform algorithms. (English) Zbl 0731.65112 Q. Appl. Math. 49, No. 2, 267-279 (1991). Reviewer: M.S.Marinov (Sofia) MSC: 65R10 65T50 44A15 PDFBibTeX XMLCite \textit{B. W. Suter}, Q. Appl. Math. 49, No. 2, 267--279 (1991; Zbl 0731.65112) Full Text: DOI
Zayed, Ahmed I. Sampling expansion for the continuous Bessel transform. (English) Zbl 0611.94001 Appl. Anal. 27, No. 1-3, 47-65 (1988). MSC: 94A11 44A15 PDFBibTeX XMLCite \textit{A. I. Zayed}, Appl. Anal. 27, No. 1--3, 47--65 (1988; Zbl 0611.94001) Full Text: DOI
Beck, József On a problem of Erdős in the theory of irregularities of distribution. (English) Zbl 0594.10045 Math. Ann. 277, 233-247 (1987). Reviewer: József Beck (Budapest) MSC: 11K38 PDFBibTeX XMLCite \textit{J. Beck}, Math. Ann. 277, 233--247 (1987; Zbl 0594.10045) Full Text: DOI EuDML
Arbenz, Kurt; Martin, Jean-Claude Transmission de l’information. Méthodes mathématiques. (French) Zbl 0572.94001 Paris etc.: Masson. 131 p. (1983). MSC: 94-01 PDFBibTeX XML
Candel, Sebastien M. Simultaneous calculation of Fourier-Bessel transforms up to order N. (English) Zbl 0485.65097 J. Comput. Phys. 44, 243-261 (1981). MSC: 65T40 65R10 PDFBibTeX XMLCite \textit{S. M. Candel}, J. Comput. Phys. 44, 243--261 (1981; Zbl 0485.65097) Full Text: DOI
Al-Salam, W. A.; Ismail, Mourad E. H. A family of operational calculi. (English) Zbl 0402.44016 Math. Jap. 22, 571-583 (1978). MSC: 44A55 46A45 PDFBibTeX XMLCite \textit{W. A. Al-Salam} and \textit{M. E. H. Ismail}, Math. Japon. 22, 571--583 (1978; Zbl 0402.44016)