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An Application of Subclasses of Harmonic Univalent Functions Involving Hypergeometric Function
Adıyaman University Journal of Science, 2020 The main purpose of this paper is to establish connections between various subclasses of harmonic univalent functions by applying certain convolution operator involving hypergeometric functions. We investigate such connections with Goodman- Salagean-Type harmonic univalent functions in the open unit disc U.
Yalçın Tokgöz, Sibel +2 more
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Mathematics, 2022 The study done for obtaining the original results of this paper involves the fractional integral of the confluent hypergeometric function and presents its new applications for introducing a certain subclass of analytic functions. Conditions for functions
Alina Alb Lupaş, Georgia Irina Oros
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Multiple zeta values and the WKB method [PDF]
, 2013 The multiple zeta values ζ(d1, . . . , dr ) are natural generalizations of the values ζ(d) of the Riemann zeta functions at integers d. They have many applications, e.g. in knot theory and in quantum physics.
Zakrzewski, Michał, Żołądek, Henryk
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مجلة العلوم البحتة والتطبيقية, 2020 The connection between different classes of special functions is a very important aspect in establishing new properties of the related classical functions that is they can inherit the properties of each other. Here we show how the Hermite polynomials are
Haniyah Saed Ben Hamdin
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Solving recurrences for Legendre–Bernstein basis transformations
Examples and Counterexamples, 2023 The change of basis matrix M from shifted Legendre to Bernstein polynomials and M−1 have applications in computer graphics. Algorithms use their properties to find the matrix elements efficiently.
D.A. Wolfram
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Fractal and Fractional, 2019 The main objective of this paper is to obtain certain new k-fractional estimates of Hermite−Hadamard type inequalities via s-convex functions of Breckner type essentially involving k-Appell’s hypergeometric functions.
Muhammad Uzair Awan +3 more
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Fractal and Fractional, 2021 This article uses fractional calculus to create novel links between the well-known Mittag-Leffler functions of one, two, three, and four parameters.
F. Ghanim +2 more
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Fractional parts of Linear polynomials and an application to hypergeometric functions [PDF]
Journal of the Australian Mathematical Society, 2001 AbstractUsing a result on arithmetic progressions, we describe a method for finding the rational h–tuples ρ = (ρl,…,ρh) such that all the multiples mρ (for m coprime to a denominator of ρ) lie in a linear variety modulo Z. We give an application to hypergeometric functions.
DVORNICICH, ROBERTO, ZANNIER U.
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AIMS Mathematics, 2022 In this paper, we introduce the class of generalized strongly convex functions using Raina's function. We derive two new general auxiliary results involving first and second order (p,q)-differentiable functions and Raina's function.
Miguel Vivas-Cortez +4 more
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Computation of Carlson's Multiple Hypergeometric FunctionRfor Bayesian Applications [PDF]
Journal of Computational and Graphical Statistics, 1992 Abstract Carlson's multiple hypergeometric functions arise in Bayesian inference, including methods for multinomial data with missing category distinctions and for local smoothing of histograms. To use these methods one needs to calculate Carlson functions and their ratios.
Thomas J. Jiang +2 more
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