Results 1 to 10 of about 142 (36)
Uniform convergent expansions of the error function in terms of elementary functions [PDF]
, 2023 We derive a new analytic representation of the error function erf z in the form of a convergent series whose terms are exponential and rational functions. The expansion holds uniformly in z in the double sector | arg(±z)| < π/4.
Ferreira, Chelo +2 more
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Geometric properties of normalized imaginary error function [PDF]
, 2022 The error function takes place in a wide range in the fields of mathematics, mathematical physics and natural sciences. The aim of the current paper is to investigate certain properties such as univalence and close-to-convexity of normalized imaginary ...
ANALOUEI ADEGANI, Ebrahim +3 more
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Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters [PDF]
, 1996 We consider the asymptotic behavior of the incomplete gamma functions gamma(-a,-z) and Gamma(-a,-z) as a goes to infinity. Uniform expansions are needed to describe the transition area z~a in which case error functions are used as main approximants.
Temme, Nico M.
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On an Umbral Point of View of the Gaussian and Gaussian-like Functions [PDF]
, 2023 The theory of Gaussian functions is reformulated using an umbral point of view. The symbolic method we adopt here allows an interpretation of the Gaussian in terms of a Lorentzian image function.
Dattoli, Giuseppe +2 more
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Extensions of beta and related functions [PDF]
, 2022 In this paper, we introduce and investigate a new extension of the beta function by means of an integral operator involving a product of Bessel-Struve kernel functions.
Ali, Musharraf +2 more
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Extended Riemann-Liouville type fractional derivative operator with applications
Open Mathematics, 2017 The main purpose of this paper is to introduce a class of new extended forms of the beta function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by means of the modified Bessel function of the third kind.
Agarwal P., Nieto Juan J., Luo M.-J.
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Analytically Continued Hypergeometric Expression of the Incomplete Beta Function [PDF]
, 2002 The Incomplete Beta Function is rewritten as a Hypergeometric Function that is the analytic continuation of the conventional form, a generalization of the finite series, which simpifies the Stieltjes transform of powers of a monomial divided by powers of
Straton, Jack C.
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Refinements of Some Recent Inequalities for Certain Special Functions
Annales Mathematicae Silesianae, 2019 The aim of this paper is to give some refinements to several inequalities, recently etablished, by P.K. Bhandari and S.K. Bissu in [Inequalities via Hölder’s inequality, Scholars Journal of Research in Mathematics and Computer Science, 2 (2018), no.
Akkouchi Mohamed +1 more
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Topological Algebra and its Applications, 2016 In this present work, the authors establish a new integral identity involving generalized fractional integral operators and by using this fractional-type integral identity, obtain some new Hermite-Hadamard type inequalities for functions whose first ...
Set Erhan, Gözpinar Abdurrahman
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A note on some reduction formulas for the incomplete beta function and the Lerch transcedent [PDF]
, 2020 We derive new reduction formulas for the incomplete beta function and the Lerch transcendent in terms of elementary functions. As an application, we calculate some new integrals.
González-Santander, J. L.
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