Results 1 to 10 of about 383,208 (169)
On behavior of solution for delta fractional differences associated with special functions
Alexandria Engineering JournalIn this paper, a general idea of Mittag-Leffler function using discrete fractional of delta-type in the Riemann–Liouville sense is initiated. Asymptotic behavior of solutions associated with the Riemann–Liouville fractional difference is proposed herein ...
Pshtiwan Othman Mohammed +5 more
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On the Generating Functions and Special Functions Associated with Superoscillations
Discrete Applied Mathematics, 2023 The aim of this paper is to study generating functions for the coefficients of the classical superoscillatory function associated with weak measurements. We also establish some new relations between the superoscillatory coefficients and many well-known families of special polynomials, numbers, and functions such as Bernstein basis functions, the ...
Colombo F. +3 more
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The Fractional Dunkl Laplacian: Definition and Harmonization via the Mellin Transform
Mathematics, 2023 In this paper, we extend the scope of the Tate and Ormerod Lemmas to the Dunkl setting, revealing a profound interconnection that intricately links the Dunkl transform and the Mellin transform.
Fethi Bouzeffour
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Functional Specialization and Flexibility in Human Association Cortex [PDF]
Cerebral Cortex, 2014 The association cortex supports cognitive functions enabling flexible behavior. Here, we explored the organization of human association cortex by mathematically formalizing the notion that a behavioral task engages multiple cognitive components, which are in turn supported by multiple overlapping brain regions.
B T Thomas, Yeo +7 more
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Addition formulae for Abelian functions associated with specialized curves [PDF]
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2011 We discuss a family of multi-term addition formulae for Weierstrass functions on specialized curves of low genus with many automorphisms, concentrating mostly on the case of genus 1 and 2. In the genus 1 case, we give addition formulae for the equianharmonic and lemniscate cases, and in genus 2 we find some new addition formulae for a number of curves.
Eilbeck, J. C. +2 more
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On Volume Functions of Special Flow Polytopes Associated to the Root System of Type $A$ [PDF]
The Electronic Journal of Combinatorics, 2020 In this paper, we consider the volume of a special kind of flow polytope. We show that its volume satisfies a certain system of differential equations, and conversely, the solution of the system of differential equations is unique up to a constant multiple.
Takayuki Negishi +2 more
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Coefficient estimates for families of bi-univalent functions defined by Ruscheweyh derivative operator [PDF]
Mathematica Moravica, 2021 The main purpose of this manuscript is to find upper bounds for the second and third Taylor-Maclaurin coefficients for two families of holomorphic and bi-univalent functions associated with Ruscheweyh derivative operator.
Bulut Serap, Kareem Wanas Abbas
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On zeta functions associated to symmetric matrices, II: Functional equations and special values [PDF]
Nagoya Mathematical Journal, 2012 AbstractNew simple functional equations of zeta functions of the prehomogeneous vector spaces consisting of symmetric matrices are obtained, using explicit forms of zeta functions in the previous paper, Part I, and real analytic Eisenstein series of half-integral weight. When the matrix size is 2, our functional equations are identical with the ones by
Ibukiyama, Tomoyoshi, Saito, Hiroshi
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Mathematics, 2023 We apply special functions and use the concept of the aggregation function to introduce a new class of fuzzy control functions, and based on this, we obtain the best approximation for the stochastic bi-homomorphisms and stochastic bi-derivations in FB ...
Zahra Eidinejad +3 more
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Special functions associated with a certain fourth-order differential equation [PDF]
The Ramanujan Journal, 2011 We develop a theory of "special functions" associated to a certain fourth order differential operator $\mathcal{D}_{μ,ν}$ on $\mathbb{R}$ depending on two parameters $μ,ν$. For integers $μ,ν\geq-1$ with $μ+ν\in2\mathbb{N}_0$ this operator extends to a self-adjoint operator on $L^2(\mathbb{R}_+,x^{μ+ν+1}dx)$ with discrete spectrum.
Hilgert, J. +3 more
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