Results 91 to 100 of about 27,421 (244)
Quantitative expansivity for ergodic Zd$\mathbb {Z}^d$‐actions
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We study expansiveness properties of positive measure subsets of ergodic Zd$\mathbb {Z}^d$‐actions along two different types of structured subsets of Zd$\mathbb {Z}^d$, namely, cyclic subgroups and images of integer polynomials. We prove quantitative expansiveness properties in both cases, strengthening combinatorial results from two distinct ...
Alexander Fish, Sean Skinner
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Polynomial Expansions of Bessel Functions and Some Associated Functions [PDF]
, 1962 Jet Wimp
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Symbolic computation of Appell polynomials using Maple
Electronic Journal of Differential Equations, 2001 This work focuses on the symbolic computation of Appell polynomials using the computer algebra system Maple. After describing the traditional approach of constructing Appell polynomials, the paper examines the operator method of constructing the same ...
H. Alkahby +3 more
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The Hermite polynomials and the Bessel functions from a general point of view
International Journal of Mathematics and Mathematical Sciences, 2003 We introduce new families of Hermite polynomials and of Bessel functions from a point of view involving the use of nonexponential generating functions.
G. Dattoli +2 more
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Series of Products of Bessel Polynomials [PDF]
Canadian Journal of Mathematics, 1959 The Bessel polynomials, which arise as solution of the classical wave equation in spherical co-ordinates, are defined by Krall and Frink (3) by the equation1The purpose of this paper is to present some series of products of these polynomials when the two arguments are different as in the case of Legendre and Hermite polynomials. Such an explanation was
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On a Class of Polynomials in the Theory of Bessel's Functions [PDF]
Transactions of the American Mathematical Society, 1926 vanishes are known to be infinite in number for a general value of n. Their importance in mathematical physics has led to their calculation for positive integral values of n. They may also be regarded as branches of an infinitely many branched function of a complex variable.
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Theory of multiindex multivariable Bessel functions and Hermite polynomials
Le Matematiche, 1997 We discuss the theory of multivariable multiindex Bessel functions (B.F.) and Hermite polynomials (H.P.) using the generating function method. We derive addition and multiplication theorems and discuss how generalized H.P.
G. Dattoli +3 more
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An operational collocation based on the Bell polynomials for solving high order Volterra integro-differential equations [PDF]
Journal of Mahani Mathematical ResearchIn this paper, an operational matrix method based on the Bell polynomials has been presented to find approximate solutions of high-order Volterra integro-differential equations.
Najmeh Kasaei +2 more
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On the zeros of a class of polynomials including the generalized Bessel polynomials
Journal of Computational and Applied Mathematics, 1993 AbstractIt is proved that the real part of any zero of the polynomial PN+1(x) of degree N which is defined by an+1Pn+1(x) − anPn−1(x) − bnPn(x) = xcnPn(x),P0(x) = 0, P1(x) = 1, is negative in the case bn > 0, cn > 0. A consequence of this result is that the zeros of the Bessel polynomials, as well as the zeros of the generalized Bessel polynomials for ...
E. K. Ifantis, Panayiotis D. Siafarikas
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AIMS MathematicsThis paper presented a new Ruscheweyh fractional derivative of fractional order in the complex conformable calculus sense. We applied the constructed complex conformable Ruscheweyh derivative (CCRD) on a certain base of polynomials (BPs) in different ...
Mohra Zayed , Gamal Hassan
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