Results 21 to 30 of about 5,320 (265)
Mixed-Type Hypergeometric Bernoulli–Gegenbauer Polynomials
Mathematics, 2023 In this paper, we consider a novel family of the mixed-type hypergeometric Bernoulli–Gegenbauer polynomials. This family represents a fascinating fusion between two distinct categories of special functions: hypergeometric Bernoulli polynomials and ...
Dionisio Peralta +2 more
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The stieltjes transform of distributions
International Journal of Mathematics and Mathematical Sciences, 1979 In the present work, two complex inversion formulas of Byrne and Love for generalized Stieltjes transformation are shown to be valid for a class of distributions.
U. N. Tiwari, J. N. Pandey
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Parafunctions of matrices of vertical and horizontal structure
Karpatsʹkì Matematičnì Publìkacìï, 2013 The properties of parafunctions of matrices of vertical and horizontal structure are investigated. Some general formulas of inversion of polynomial sequences are built.
T. S. Dovbniak, R. A. Zatorsky
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Mathematics, 2021 Segal introduce the Fourier–Wiener transform for the class of polynomial cylinder functions on Hilbert space, and Hida then develop this concept. Negrin define the extended Wiener transform with Hayker et al. In recent papers, Hayker et al. establish the
Hyun Soo Chung
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Glasgow Mathematical Journal, 1980 In this paper the author considers the problem of finding a formula of inversion for the integral transform defined by the equationwhere a >0, k > 0 and r-1f(r) εL (a, ∞). This transform appeared in connection with an earlier investigation [4] in which an attempt was made to devise an integral transform that could be adapted to the solution of ...
openaire +3 more sources
The Segal–Bargmann Transform for Odd-Dimensional Hyperbolic Spaces
Mathematics, 2015 We develop isometry and inversion formulas for the Segal–Bargmann transform on odd-dimensional hyperbolic spaces that are as parallel as possible to the dual case of odd-dimensional spheres.
Brian C. Hall, Jeffrey J. Mitchell
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Inversion Formulas for the Spherical Radon-Dunkl Transform
Symmetry, Integrability and Geometry: Methods and Applications, 2009 The spherical Radon-Dunkl transform R_κ, associated to weight functions invariant under a finite reflection group, is introduced, and some elementary properties are obtained in terms of h-harmonics.
Zhongkai Li, Futao Song
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Advances in Mathematical Physics, 2018 This paper is devoted to a Radon-type transform arising in a version of Photoacoustic Tomography that uses integrating circular detectors. The Radon-type transform that arises can be decomposed into the known Radon-type transforms: the spherical Radon ...
Sunghwan Moon
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Alexandria Engineering Journal, 2020 A dependable approach for inverting two classes of rational Laplace transforms, involving regular polynomials and partial sums with non-integer exponents is developed. Such types of Laplace transforms frequently emerge as the system transfer functions in
Hooman Fatoorehchi, Randolph Rach
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A factorization formula for power series [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Given an odd prime p, we give an explicit factorization over the ring of formal power series with integer coefficients for certain reducible polynomials whose constant term is of the form $p^w$ with $w>1$.
Daniel Birmajer +2 more
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