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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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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Linear Fractional Transformations of Nevanlinna Functions Associated with a Nonnegative Operator [PDF]
, 2011 In the present paper a subclass of scalar Nevanlinna functions is studied, which coincides with the class of Weyl functions associated to a nonnegative symmetric operator of defect one in a Hilbert space.
Winkler, Henrik, +15 more
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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 Issue: “Optimising Nutrition to Alleviate Age-Associated Functional Decline” [PDF]
Nutrients, 2021 Appropriate nutrition is a cornerstone of preventive gerontology [...]
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A Generalized Family of Exponentiated Composite Distributions
Mathematics, 2022 In this paper, we propose a new family of distributions, by exponentiating the random variables associated with the probability density functions of composite distributions. We also derive some mathematical properties of this new family of distributions,
Bowen Liu, Malwane M. A. Ananda
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Geometric properties of the meromorphic functions class through special functions associated with a linear operator [PDF]
Advances in Continuous and Discrete Models, 2022 AbstractAccording to the theory of regular geometric functions, the relevance of geometry to analysis is a critical feature. One of the significant tools to study operators is to utilize the convolution product. The dynamic techniques of convolution have attracted numerous complex analyses in current research.
F. Ghanim +2 more
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Elliptic hypergeometric functions associated with root systems
, 2020 We give a survey of elliptic hypergeometric functions associated with root systems, comprised of three main parts. The first two in essence form an annotated table of the main evaluation and transformation formulas for elliptic hypergeometric integrals ...
Warnaar, Ole, +3 more
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Refinements of the Hermite-Hadamard Integral Inequality for Log-Convex Functions [PDF]
, 2000 Two refinements of the classical Hermite-Hadamard integral inequality for log-convex functions and applications for special means are ...
Dragomir, Sever S
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