Results 61 to 70 of about 5,542 (141)
Identities and congruences involving the Fubini polynomials
, 2017 12 ...
Mihoubi, Miloud, Taharbouchet, Said
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A new class of generalized Fubini polynomials and their computational algorithms
Applicable Analysis and Discrete Mathematics, 2023 The aim of this paper is to give many new and elegant formulas for a new class of generalized Fubini polynomials with the aid of generating functions and their functional equations. By using these formulas, some computational algorithms involving a new class of generalized Fubini polynomials and special polynomials and numbers are constructed.
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Splitting the difference: Computations of the Reynolds operator in classical invariant theory
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract If G$G$ is a linearly reductive group acting rationally on a polynomial ring S$S$, then the inclusion SG↪S$S^{G} \hookrightarrow S$ possesses a unique G$G$‐equivariant splitting, called the Reynolds operator. We describe algorithms for computing the Reynolds operator for the classical actions as in Weyl's book.
Aryaman Maithani
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A theorem concerning Fourier transforms: A survey
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In this note, we highlight the impact of the paper G. H. Hardy, A theorem concerning Fourier transforms, J. Lond. Math. Soc. (1) 8 (1933), 227–231 in the community of harmonic analysis in the last 90 years, reviewing, on one hand, the direct generalizations of the main results and, on the other hand, the different connections to related areas ...
Aingeru Fernández‐Bertolin, Luis Vega
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Refined Hardy‐Type Inequalities Involving New Green Functions and Montgomery Identity
Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.Some Hardy‐type inequalities are established in the paper by the suitable combinations of new Green functions on time scales, which are furthermore extended with the help of generalized Montgomery identity involving Taylor formula on time scales. Bounds of Grüss‐ and Ostrowski‐type inequalities related to these Hardy‐type inequalities on time scales ...
Ammara Nosheen +4 more
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Composition Formula for Saigo Fractional Calculus Operator on p R q Function
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.In this paper, we use the Saigo operators to create fractional integral and derivative formulations involving the generalized p R q function. The resulting expressions are represented using generalized Wright hypergeometric functions. We develop various results for fractional integrals and derivatives of the Weyl, Erdélyi–Kober, Saigo, and Riemann ...
Belete Debalkie +2 more
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On Generalized Class of Bell Polynomials Associated with Geometric Applications
AxiomsIn this paper, we introduce a new class of special polynomials called the generalized Bell polynomials, constructed by combining two-variable general polynomials with two-variable Bell polynomials. The concept of the monomiality principle was employed to
Rashad A. Al-Jawfi +2 more
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.We investigate the Cauchy problem for the fourth‐order Schrödinger equation with quadratic nonlinearities involving second‐order derivatives: uxxu, uxxū, (ux)2, uūxx, and |ux|2, where u = u(x, t) is a complex‐valued function defined on R×R. The flow map of this Cauchy problem with the nonlinear terms uxxu or uxxū fails to be C2 differentiable at zero ...
Long Xiao, Ting Chen, Xian-Ming Gu
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Exploring a Novel Family of Appell Polynomials Associated with Gould–Hopper–Fubini Polynomials
MathematicsIn this paper, we establish a new hybrid class of special polynomials, the Gould–Hopper–Fubini-based Appell polynomials. Using the monomiality principle, we derive their generating function and explore related properties and identities.
F. Gassem +6 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This work introduces a nonlinear stochastic Riemann wave equation (SRWE) with particular novel solutions by using the white noise stochastic term. For the considered problem, we have used two computational methods, namely, the auxiliary equation (AE) method and the unified method (UM), for the exact solution and analyzed their various characteristics ...
Sara Salem Alzaid +2 more
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