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Recent Trends in Special Numbers and Special Functions and Polynomials
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A New Special Function and Its Application in Probability
Published 2018-01-01“…In this note we present a new special function that behaves like the error function and we provide an approximated accurate closed form for its CDF in terms of both Chèbyshev polynomials of the first kind and the error function. …”
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Recent Developments in Integral Transforms, Special Functions, and Their Extensions to Distributions Theory
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Discretized representations of harmonic variables by bilateral Jacobi operators
Published 2000-01-01Subjects: Get full text
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A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions
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Implementation of Special Function Unit for Vertex Shader Processor Using Hybrid Number System
Published 2014-01-01“…A prime feature of this standard is a special function unit (SFU), which performs all the required mathematical computations on the vertex information corresponding to the image. …”
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Novel Refinements via n–Polynomial Harmonically s–Type Convex Functions and Application in Special Functions
Published 2021-01-01“…Finally, we illustrate the applicability of this new investigation in special functions (hypergeometric function and special mean of real numbers).…”
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On generalizations of the series of Taylor, Lagrange, Laurent and Teixeira
Published 1990-01-01Subjects: Get full text
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Composite trapezoidal quadrature for computing hypersingular integrals on interval
Published 2024-12-01Subjects: Get full text
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Cab45G trafficking through the insulin secretory pathway is altered in human type 2 diabetes
Published 2025-02-01Subjects: Get full text
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Multivariate Rayleigh, Rice, and Nakagami distributions and their applications in communication theory
Published 2024-07-01Subjects: Get full text
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Chebyshev polynomials of the first kind and the univariate Lommel function: Integral representations
Published 2025-02-01Subjects: Get full text
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Nested derivatives: a simple method for computing series expansions of inverse functions
Published 2003-01-01“…We show several examples of its application in calculating the inverses of some special functions.…”
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Applications of Umbral Calculus Associated with p-Adic Invariant Integrals on Zp
Published 2012-01-01“…Recently, Dere and Simsek (2012) have studied the applications of umbral algebra to some special functions. In this paper, we investigate some properties of umbral calculus associated with p-adic invariant integrals on Zp. …”
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Estimates for Eigenvalues of the Elliptic Operator in Divergence Form on Riemannian Manifolds
Published 2015-01-01“…We also get universal inequalities for eigenvalues of elliptic operators in divergence form on compact domains of complete submanifolds admitting special functions which include the Hadamard manifolds with Ricci curvature bounded below and any complete manifolds admitting eigenmaps to a sphere.…”
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Finite Integral Formulas Involving Multivariable Aleph-Functions
Published 2019-01-01“…The main results of our paper are quite general in nature and competent at yielding a very large number of integrals involving polynomials and various special functions occurring in the problem of mathematical analysis and mathematical physics.…”
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On the Lauwerier formulation of the temperature field problem in oil strata
Published 2005-01-01“…The solution is obtained in an integral form, where the integrand is expressed in terms of a convolution of two special functions of Wright type.…”
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The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the V-Function
Published 2021-01-01“…In addition, on account of V-function, a variety of known results associated with special functions such as the Mittag-Leffler function, exponential function, Struve’s function, Lommel’s function, the Bessel function, Wright’s generalized Bessel function, and the generalized hypergeometric function have been discovered by defining suitable values for the parameters.…”
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